We report results for the virtual photon asymmetry $A_1$ on the nucleon from new Jefferson Lab measurements. The experiment, which used the CEBAF Large Acceptance Spectrometer and longitudinally polarized proton ($^{15}$NH$_3$) and deuteron ($^{15}$ND$_3$) targets, collected data with a longitudinally polarized electron beam at energies between 1.6 GeV and 5.7 GeV. In the present paper, we concentrate on our results for $A_1(x,Q^2)$ and the related ratio $g_1/F_1(x,Q^2)$ in the resonance and the deep inelastic regions for our lowest and highest beam energies, covering a range in momentum transfer $Q^2$ from 0.05 to 5.0 GeV$^2$ and in final-state invariant mass $W$ up to about 3 GeV. Our data show detailed structure in the resonance region, which leads to a strong $Q^2$--dependence of $A_1(x,Q^2)$ for $W$ below 2 GeV. At higher $W$, a smooth approach to the scaling limit, established by earlier experiments, can be seen, but $A_1(x,Q^2)$ is not strictly $Q^2$--independent. We add significantly to the world data set at high $x$, up to $x = 0.6$. Our data exceed the SU(6)-symmetric quark model expectation for both the proton and the deuteron while being consistent with a negative $d$-quark polarization up to our highest $x$. This data setshould improve next-to-leading order (NLO) pQCD fits of the parton polarization distributions.
A1 and g1/F1 for the P target at incident energy 1.6000 GeV and W = 1.1300 GeV.
A1 and g1/F1 for the P target at incident energy 1.6000 GeV and W = 1.1500 GeV.
A1 and g1/F1 for the P target at incident energy 1.6000 GeV and W = 1.1700 GeV.
The photon asymmetry in the reaction p(\vec{\gamma},\pi^{0})p close to threshold has been measured for the first time with the photon spectrometer TAPS using linearly polarized photons from the tagged-photon facility at the Mainz Microtron MAMI. The total and differential cross sections were also measured simultaneously with the photon asymmetry. This allowed determination of the S-wave and all three P-wave amplitudes. The low-energy theorems based on the parameter-free third-order calculations of heavy-baryon chiral perturbation theory for P1 and P2 agree with the experimental values.
Polarized photon beam.
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SIG(Q=N) and SIG(Q=P) ratio is extracted from the data of scattering on HE4.
The analyzing power Ay for π+p→ scattering at 68.3 MeV has been measured at the Paul Scherrer Institut with the magnetic spectrometer LEPS. The measurements cover the angular range 40°≤θlab≤70°. The protons have been polarized in a butanol target, operated in frozen spin mode. The S31 phase shift comes out by about 1° smaller than the Koch-Pietarinen [Nucl. Phys. A 336, 331 (1980)] phase shift analysis, supporting the necessity of an alternative dispersion analysis of πN scattering to determine the σ term and the πN coupling constant. © 1996 The American Physical Society.
The two data sets correspond to measurements with two different target compositions (see text).
Inclusive π+ photoproduction below the Δ(1232) resonance has been measured from H, C, Ca, Sn, and Pb at laboratory angles of 51°, 81°, 109°, and 141° using tagged photons and ΔE-E plastic scintillator telescopes with 17-MeV thresholds. Particle identification involved both the determination of differential energy loss and the detection of the μ+ from the π+ decay. Double differential cross sections, angular distributions, and total cross sections were obtained for four incident photon energy bins centered at 184, 194, 204, and 213 MeV. Comparisons are made to both theoretical predictions and previous data sets. Ratios of nuclear cross sections to those obtained from the proton are extracted, and the features of these ratios are discussed. © 1996 The American Physical Society.
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Measurements of the analyzing power Ay(θ) for neutron-proton scattering have been performed at 7.6, 12.0, 14.1, 16.0, and 18.5 MeV. The experimental setup is described as are the finite-geometry corrections applied to the data. One of these corrections, due to the presence of carbon in the scintillators used for neutron detection, is discussed in detail. The Ay(θ) data are compared to the predictions of the Paris and Bonn nucleon-nucleon potentials and the predictions of two phase-shift analyses, one of which incorporates charge-independence breaking effects in the 3P waves.
Measured analyzing power at 7.6 MeV.
Measured analyzing power at 12.0 MeV.
Measured analyzing power at 14.1 MeV.
Integral cross sections for π + p interaction have been measured between 125.9 and 201.7 MeV using the transmission method. Over this energy range the results are in very good agreement with predictions made with currently accepted phase shifts. These results are also consistent with similar measurements at lower energies when the dispersion relation constrained Karlsruhe phase shifts are used.
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Photopion energy distributions have been measured on 7 Li , 28 Si , 51 V and 93 Nb at θ π = 90° with 200 MeV electron. The logarithmic plot of the distributions shows a break at around 10 MeV of the residual energy. This is not explained by the quasi-free π + production. The (e, π + ) cross sections at θ π = 90° deduced by integrating the energy distribution. The result can be approximated by σ 0 Z 2 3 , where σ 0 is 0.13 times the elementary cross section of H(e, π + ) at θ π = 90°. The quasi-free π + production calculated by the Fermi-gas model with Pauli exclusion principle approximately reproduces the relative dependence on the charge number but its absolute value is about ten times as large as the experimental result. The present result for the charged photopion cross section in the threshold region is in contrast to the case in the Δ-resonance region where the cross section of π + + π − photoproduction is expressed by A 2 3 times the elementary cross sections.
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