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Measurements of particle emission from a replica of the T2K 90 cm-long carbon target were performed in the NA61/SHINE experiment at CERN SPS, using data collected during a high-statistics run in 2009. An efficient use of the long-target measurements for neutrino flux predictions in T2K requires dedicated reconstruction and analysis techniques. Fully-corrected differential yields of $\pi^\pm$-mesons from the surface of the T2K replica target for incoming 31 GeV/c protons are presented. A possible strategy to implement these results into the T2K neutrino beam predictions is discussed and the propagation of the uncertainties of these results to the final neutrino flux is performed.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.
Spectra of positively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z1$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z2$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z3$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z4$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z5$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 0 to 20 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 20 to 40 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 40 to 60 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 60 to 80 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 80 to 100 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 100 to 140 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 140 to 180 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 180 to 220 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 220 to 260 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 260 to 300 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.
Spectra of negatively charged pions at the surface of the T2K replica target, in the polar angle range from 300 to 340 mrad and for longitudinal bin $z6$, as a function of momentum. The normalization is per proton on target.
Measurements of hadron production in p+C interactions at 31 GeV/c are performed using the NA61/ SHINE spectrometer at the CERN SPS. The analysis is based on the full set of data collected in 2009 using a graphite target with a thickness of 4% of a nuclear interaction length. Inelastic and production cross sections as well as spectra of $\pi^\pm$, $K^\pm$, p, $K^0_S$ and $\Lambda$ are measured with high precision. These measurements are essential for improved calculations of the initial neutrino fluxes in the T2K long-baseline neutrino oscillation experiment in Japan. A comparison of the NA61/SHINE measurements with predictions of several hadroproduction models is presented.
The double differential $\pi^+$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\pi^+$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\pi^+$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\pi^+$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\pi^+$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\pi^+$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\pi^+$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\pi^+$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\pi^+$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\pi^+$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\pi^+$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\pi^-$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\pi^-$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\pi^-$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\pi^-$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\pi^-$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\pi^-$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\pi^-$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\pi^-$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\pi^-$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\pi^-$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\pi^-$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $K^+$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $K^+$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $K^+$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $K^+$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $K^+$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $K^+$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $K^+$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $K^+$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $K^-$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $K^-$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $K^-$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $K^-$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $K^-$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $K^-$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $K^-$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential proton production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential proton production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential proton production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential proton production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential proton production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential proton production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential proton production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential proton production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential proton production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential proton production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $K^0_S$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $K^0_S$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $K^0_S$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $K^0_S$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $K^0_S$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $K^0_S$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $K^0_S$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\Lambda$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\Lambda$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\Lambda$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\Lambda$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\Lambda$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\Lambda$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\Lambda$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
The double differential $\Lambda$ production cross section in the laboratory system for p+C interactions at 31 GeV$/c$. The results are presented as a function of momentum, $p$ (in [GeV/$c$]), in different angular intervals, $\theta$ (in [mrad]). The statistical and systematic errors are quoted.
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