Symmetry energy extracted from the S$\pi$RIT pion data in Sn+Sn systems

Abstract

With the improved particular Isospin-dependent Boltzmann-Uehling-Uhlenbeck transport model (impIBUU) including the nucleon-nucleon short-range correlations, the ratios and yields of ${\pi }^{-}$ and ${\pi }^{+}$ in Sn+Sn systems with different asymmetries at 270 MeV/nucleon are studied. It is found that the yields of ${\pi }^{-}$ and ${\pi }^{+}$ and their ratios in Sn+Sn systems characterized by different neutron to proton ratios obtained from the very recent S$\pi$RIT pion data, are quite well described by the model, especially when a soft symmetry energy with $L({\rho }_0)$ = 66.75$\pm$24.75 MeV is used. The calculations also clearly demonstrate that the high-momentum tail of the nucleon initialization in momentum space strongly affects the yields and ratios of pion production in Sn+Sn systems with different asymmetries near or below threshold. In addition, given many insoluble theoretical uncertainties in transport models, multi-system experimental measurements with various N/Z asymmetries are proposed to extract the symmetry energy less model-dependently by using heavy-ion collisions.

6 pages, 4 figures, PRC in production

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• Effects of pion potential and nuclear symmetry energy on the ${\pi }^{-}/{\pi }^{+}$ ratio in heavy-ion collisions at beam energies around the pion production threshold
• Pion induced double charge exchange reactions in the Delta resonance region
• Effects of energy conservation on equilibrium properties of hot asymmetric nuclear matter
• Effects of nuclear symmetry energy and in-medium NN cross section in heavy-ion collisions at beam energies below the pion production threshold

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• Constraining Neutron-Star Matter with Microscopic and Macroscopic Collisions
• Probing high-density nuclear symmetry energy with ${\Xi }^{-}/{\Xi }^0$ ratio in heavy-ion collisions at $\sqrt{s_{NN}}\sim 3$ GeV
• Bayesian model averaging for nuclear symmetry energy from effective proton-neutron chemical potential difference of neutron-rich nuclei
• Studies of the equation-of-state of nuclear matter by heavy-ion collisions at intermediate energy in the multi-messenger era
• Effects of the momentum dependence of nuclear symmetry potential on pion observables in Sn + Sn collisions at 270 MeV/nucleon
• Phase diagram determination at fivefold nuclear compression
• Quiescent luminosities of transiently accreting neutron stars with neutrino heating due to charged pion decay
• Probing $\Lambda$ potential via its $v_2$ flow in hypernuclei-induced reaction
• Transport Model Comparison Studies of Intermediate-Energy Heavy-Ion Collisions
• Isospin blocking and its effects in heavy-ion collisions