Version 2
Evidence of isospin-symmetry violation in high-energy collisions of atomic nuclei

The NA61/SHINE collaboration Adhikary, H. ; Adrich, P. ; Allison, K.K. ; et al.
Nature Commun. 16 (2025) 2849, 2025.
Inspire Record 2734683 DOI 10.17182/hepdata.156978

Strong interactions preserve an approximate isospin symmetry between up ($u$) and down ($d$) quarks, part of the more general flavor symmetry. In the case of $K$ meson production, if this isospin symmetry were exact, it would result in equal numbers of charged ($K^+$ and $K^-$) and neutral ($K^0$ and $\overline K^{\,0}$) mesons in the final state. Here, we report results on the relative abundance of charged over neutral $K$ meson production in argon and scandium nuclei collisions at a center-of-mass energy of 11.9 GeV per nucleon pair. We find that the production of $K^+$ and $K^-$ mesons at mid-rapidity is $(18.4\pm 6.1)\%$ higher than that of the neutral $K$ mesons. Although with large uncertainties, earlier data on nucleus-nucleus collisions in the collision center-of-mass energy range $2.6 < \sqrt{s_{NN}} < 200$~\GeV are consistent with the present result. Using well-established models for hadron production, we demonstrate that known isospin-symmetry breaking effects and the initial nuclei containing more neutrons than protons lead only to a small (few percent) deviation of the charged-to-neutral kaon ratio from unity at high energies. Thus, they cannot explain the measurements. The significance of the flavor-symmetry violation beyond the known effects is 4.7$\sigma$ when the compilation of world data with uncertainties quoted by the experiments is used. New systematic, high-precision measurements and theoretical efforts are needed to establish the origin of the observed large isospin-symmetry breaking.

11 data tables

Numerical data for $K^0_S$ from Figure 1.

Numerical data for $K^0_S$ from Figure 1.

Numerical data for $(K^+ + K^-)/2$ from Figure 1.

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Measurements of $\pi^\pm$, $K^\pm$, $p$ and $\bar{p}$ spectra in $^{40}$Ar+$^{45}$Sc collisions at 13$A$ to 150$A$ GeV/$c$

The NA61/SHINE collaboration Adhikary, H. ; Adrich, P. ; Allison, K.K. ; et al.
Eur.Phys.J.C 84 (2024) 416, 2024.
Inspire Record 2692441 DOI 10.17182/hepdata.151277

The NA61/SHINE experiment at the CERN Super Proton Synchrotron studies the onset of deconfinement in strongly interacting matter through a beam energy scan of particle production in collisions of nuclei of varied sizes. This paper presents results on inclusive double-differential spectra, transverse momentum and rapidity distributions and mean multiplicities of $\pi^\pm$, $K^\pm$, $p$ and $\bar{p}$ produced in $^{40}$Ar+$^{45}$Sc collisions at beam momenta of 13$A$, 19$A$, 30$A$, 40$A$, 75$A$ and 150$A$~\GeVc. The analysis uses the 10% most central collisions, where the observed forward energy defines centrality. The energy dependence of the $K^\pm$/$\pi^\pm$ ratios as well as of inverse slope parameters of the $K^\pm$ transverse mass distributions are placed in between those found in inelastic $p$+$p$ and central Pb+Pb collisions. The results obtained here establish a system-size dependence of hadron production properties that so far cannot be explained either within statistical or dynamical models.

139 data tables

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $p$ at 13$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $\pi^+$ at 13$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $\pi^-$ at 13$A$ GeV/c

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Spectra and mean multiplicities of $\pi^{-}$ in $central$ ${}^{40}$Ar+${}^{45}$Sc collisions at 13$A$, 19$A$, 30$A$, 40$A$, 75$A$ and 150$A$ GeV/$c$ beam momenta measured by the NA61/SHINE spectrometer at the CERN SPS

The NA61/SHINE collaboration Acharya, A. ; Adhikary, H. ; Allison, K.K. ; et al.
Eur.Phys.J.C 81 (2021) 397, 2021.
Inspire Record 1842132 DOI 10.17182/hepdata.127193

The physics goal of the strong interaction program of the NA61/SHINE experiment at the CERN Super Proton Synchrotron (SPS) is to study the phase diagram of hadronic matter by a scan of particle production in collisions of nuclei with various sizes at a set of energies covering the SPS energy range. This paper presents differential inclusive spectra of transverse momentum, transverse mass and rapidity of $\pi^{-}$ mesons produced in $central$ ${}^{40}$Ar+${}^{45}$Sc collisions at beam momenta of 13$A$, 19$A$, 30$A$, 40$A$, 75$A$ and 150$A$ GeV/$c$. Energy and system size dependence of parameters of these distributions -- mean transverse mass, the inverse slope parameter of transverse mass spectra, width of the rapidity distribution and mean multiplicity -- are presented and discussed. Furthermore, the dependence of the ratio of the mean number of produced pions to the mean number of wounded nucleons on the collision energy was derived. The results are compared to predictions of several models.

39 data tables

Uncorrected double-differential spectra n[h−]raw/dy/dpT of negatively charged hadrons produced in the 5% Ar+Sc collisions with the smallest EPSD energy at beam momenta of 13A, 19A, 30A, 40A, 75A and 150A GeV/c

Uncorrected double-differential spectra n[h−]raw/dy/dpT of negatively charged hadrons produced in the 5% Ar+Sc collisions with the smallest EPSD energy at beam momenta of 13A, 19A, 30A, 40A, 75A and 150A GeV/c

Uncorrected double-differential spectra n[h−]raw/dy/dpT of negatively charged hadrons produced in the 5% Ar+Sc collisions with the smallest EPSD energy at beam momenta of 13A, 19A, 30A, 40A, 75A and 150A GeV/c

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Measurement of the production cross section of 31 GeV/$c$ protons on carbon via beam attenuation in a 90-cm-long target

The NA61/SHINE collaboration Acharya, A. ; Adhikary, H. ; Aduszkiewicz, A. ; et al.
Phys.Rev.D 103 (2021) 012006, 2021.
Inspire Record 1824424 DOI 10.17182/hepdata.100512

The production cross section of 30.92 GeV/$c$ protons on carbon is measured by the NA61/SHINE spectrometer at the CERN SPS by means of beam attenuation in a copy (replica) of the 90-cm-long target of the T2K neutrino oscillation experiment. The employed method for direct production cross-section estimation minimizes model corrections for elastic and quasi-elastic interactions. The obtained production cross section is $\sigma_\mathrm{prod}~=~227.6~\pm~0.8\mathrm{(stat)}~_{-~3.2}^{+~1.9}\mathrm{(sys)}~{-~0.8}\mathrm{(mod)}$ mb. It is in agreement with previous NA61/SHINE results obtained with a thin carbon target, while providing improved precision with a total fractional uncertainty of less than 2$\%$. This direct measurement is performed to reduce the uncertainty on the T2K neutrino flux prediction associated with the re-weighting of the interaction rate of neutrino-yielding hadrons.

2 data tables

Production cross section in p+C interactions at different incident beam momenta.

Production cross section in p+C interactions at different beam momenta. The total uncertainty is the statistical, systematic and model uncertainties added in quadrature.


Version 2
Measurements of $\pi^\pm$, $K^\pm$, $p$ and $\bar{p}$ spectra in $^7$Be+$^9$Be collisions at beam momenta from 19$A$ to 150$A$ GeV/$c$ with the NA61/SHINE spectrometer at the CERN SPS

The NA61/SHINE collaboration Acharya, A. ; Adhikary, H. ; Aduszkiewicz, A. ; et al.
Eur.Phys.J.C 81 (2021) 73, 2021.
Inspire Record 1821464 DOI 10.17182/hepdata.101373

The NA61/SHINE experiment at the CERN Super Proton Synchrotron (SPS) studies the onset of deconfinement in hadron matter by a scan of particle production in collisions of nuclei with various sizes at a set of energies covering the SPS energy range. This paper presents results on inclusive double-differential spectra, transverse momentum and rapidity distributions and mean multiplicities of $\pi^\pm$, $K^\pm$, $p$ and $\bar{p}$ produced in the 20$\%$ most $central$$^7$Be+$^9$Be collisions at beam momenta of 19$A$, 30$A$, 40$A$, 75$A$ and 150$A$ GeV/$c$. The energy dependence of the $K^\pm$/$\pi^\pm$ ratios as well as of inverse slope parameters of the $K^\pm$ transverse mass distributions are close to those found in inelastic $p$+$p$ reactions. The new results are compared to the world data on $p$+$p$ and Pb+Pb collisions as well as to predictions of the EPOS, UrQMD, AMPT, PHSD and SMASH models.

51 data tables

Transverse momentum spectra in rapidity slices of K+ produced in the 20% most central Be+Be collisions at beam momentum 19A GeV/c (collision energy 6.27 GeV). Rapidity values given in the legends correspond to the middle of the corresponding interval. Results presented in this table were obtained using dE/dx analysis method.

Transverse momentum spectra in rapidity slices of K+ produced in the 20% most central Be+Be collisions at beam momentum 30A GeV/c (collision energy 7.62 GeV). Rapidity values given in the legends correspond to the middle of the corresponding interval. Results presented in this table were obtained using dE/dx analysis method.

Transverse momentum spectra in rapidity slices of K+ produced in the 20% most central Be+Be collisions at beam momentum 30A GeV/c (collision energy 7.62 GeV). Rapidity values given in the legends correspond to the middle of the corresponding interval. Results presented in this table were obtained using tof-dE/dx analysis method.

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Measurements of $\pi^-$ production in $^7$Be+$^9$Be collisions at beam momenta from 19$A$ to 15$A$GeV/$c$ in the NA61/SHINE experiment at the CERN SPS

The NA61/SHINE collaboration Acharya, A. ; Adhikary, H. ; Aduszkiewicz, A. ; et al.
Eur.Phys.J.C 80 (2020) 961, 2020.
Inspire Record 1811793 DOI 10.17182/hepdata.98673

The NA61/SHINE collaboration studies at the CERN Super Proton Synchrotron (SPS) the onset of deconfinement in hadronic matter by the measurement of particle production in collisions of nuclei with various sizes at a set of energies covering the SPS energy range. This paper presents results on inclusive double-differential spectra and mean multiplicities of $\pi^{-}$ mesons produced in the 5\% most \textit{central} $^7$Be+$^9$Be collisions at beam momenta of 19$A$, 30$A$, 40$A$, 75$A$ and 150$A$ GeV/$c$ obtained by the so-called $h^-$ method which does not require any particle identification. The shape of the transverse mass spectra differs from the shapes measured in central Pb+Pb collisions and inelastic p+p interactions. The normalized width of the rapidity distribution decreases with increasing collision energy and is in between the results for inelastic nucleon-nucleon and central Pb+Pb collisions. The mean multiplicity of pions per wounded nucleon in \textit{central} $^7$Be+$^9$Be collisions is close to that in central Pb+Pb collisions up to 75$A$GeV/$c$. However, at the top SPS energy the result is close to the one for inelastic nucleon-nucleon interactions. The results are discussed in the context of predictions for the onset of deconfinement at the CERN SPS collision energies.

10 data tables

Transverse momentum spectra of PI− in rapidity slices produced in the 5% most central Be+Be collisions at 19A GeV/c.

Transverse momentum spectra of PI− in rapidity slices produced in the 5% most central Be+Be collisions at 30A GeV/c.

Transverse momentum spectra of PI− in rapidity slices produced in the 5% most central Be+Be collisions at 40A GeV/c.

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