Effect of Delta potential on the pion-/pion+ ratio in heavy-ion collisions at intermediate energies

Abstract

Based on the isospin-dependent Boltzmann-Uehling-Uhlenbeck(IBUU) transport model, effects of $\Delta$ resonance potential on the free n/p and ${\pi }^{-}/{\pi }^{+}$ ratios in the central collision of ${}^{197}Au{+}^{197}Au$ at beam energies of 200 and 400 MeV/A are studied. It is found that the effect of $\Delta$ potential on the ratio of pre-equilibrium free $n/p$ is invisible. The effect of $\Delta$ isovector potential on the kinetic energy integrating ratio of ${\pi }^{-}/{\pi }^{+}$ may be observable only at lower incident beam energies and with stiffer symmetry energy. The strength of the $\Delta$ isoscalar potential affects the height of the ${\pi }^{-}/{\pi }^{+}$ ratio around the Coulomb peak but does not affect the kinetic energy integrating ratio of ${\pi }^{-}/{\pi }^{+}$. In heavy-ion collisions at intermediate energies, relating to the question of non-conservation of energy on $\Delta$ or $\pi$ productions, one can replace the $\Delta$ potential by nucleon isoscalar potential especially a soft symmetry energy is employed.

5 pages, 9 figures, revised version, accepted by PRC

References in corpus (6)

• Symmetry Energy of Nucleonic Matter With Tensor Correlations
• Surface Symmetry Energy of Nuclear Energy Density Functionals
• Symmetry potential of $\Delta (1232)$ resonance and its effects on the ${\pi }^{-}/{\pi }^{+}$ ratio in heavy-ion collisions near the pion production threshold
• 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
• Decomposition of sensitivity of the symmetry energy observables
• Probing the momentum-dependence of the symmetry potential by the free n/p ratio of preequilibrium emission

Cited by in corpus (15)

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• Constraining the density dependence of the symmetry energy using the multiplicity and average $p_T$ ratios of charged pions
• Cross-checking the symmetry energy at high densities
• Symmetry energy extracted from the S$\pi$RIT pion data in Sn+Sn systems
• Collective flows of pions in Au+Au collisions at energies 1.0 and 1.5 GeV/nucleon
• Effects of the high-momentum tail of nucleon momentum distribution on the isospin-sensitive observables
• Examination of an isospin-dependent single-nucleon momentum distribution for the isospin-asymmetric nuclear matter in heavy-ion collisions
• Effects of retarded electrical fields on observables sensitive to the high-density behavior of nuclear symmetry energy in heavy-ion collisions at intermediate energies
• Determination of the density region of the symmetry energy probed by the ${\pi }^{-}/{\pi }^{+}$ ratio
• Beam energy dependence of the relativistic retardation effects of electrical fields on the ${\pi }^{-}/{\pi }^{+}$ ratio in heavy-ion collisions
• Anatomy of critical fluctuations in hadronic matter
• Necessity of selfconsistent calculations for the electromagnetic field in probing the nuclear symmetry energy using pion observables in heavy-ion collisions
• Effects of an induced electric field on π^{-}/π^{+} ratio in heavy-ion collisions