The isospin dependent nucleon-nucleon inelastic cross section in the nuclear medium

Abstract

The calculation of the energy-, density-, and isospin-dependent $\Delta$ production cross sections in nucleon-nucleon (NN) scattering ${\sigma }_{NN\to N\Delta }^{\ast }$ has been performed within the framework of the relativistic BUU approach. The N$\Delta$ cross sections are calculated in Born approximation taking into account the effective mass splitting of the nucleons and $\Delta$s in asymmetric matter. Due to the different mass splitting for neutron, proton and differently charged $\Delta$s, it is shown that, similar to the NN elastic ones, the reductions of N$\Delta$ inelastic cross sections in isospin-asymmetric nuclear medium are different from each other for all the individual channels and the effect is largest and of opposite sign for the ${\Delta }^{++}$ and ${\Delta }^{-}$ states. This approach is also compared to calculations without effective mass splitting and with splitting derived from Dirac-Brueckerner (DB) calculations. The isospin dependence of the N$\Delta$ cross sections is expected to influence the production of ${\pi }^{+}$ and ${\pi }^{-}$ mesons as well as their yield ratio, and thus affect the use of the latter quantity as a probe of the stiffness of the symmetry energy at supranormal densities.

17 pages including 4 figures. Accepted by Phys. Lett. B

References in corpus (5)

• The Nuclear Symmetry Energy
• Symmetry energy from elliptic flow in 197Au + 197Au
• Nuclear symmetry energy and its density slope at normal density extracted from global nucleon optical potentials
• Constraining the high-density nuclear symmetry energy with the transverse-momentum dependent elliptic flow
• In-medium effects on particle production in heavy ion collisions

Cited by in corpus (16)

• Progress of Quantum Molecular Dynamics model and its applications in Heavy Ion Collisions
• Effects of in-medium nucleon-nucleon cross section on collective flow and nuclear stopping in heavy-ion collisions in the Fermi-energy domain
• Shear viscosity from nuclear stopping
• Collective flows of pions in Au+Au collisions at energies 1.0 and 1.5 GeV/nucleon
• Effect of energy conservation on in-medium $\mbox{NN}\to \mbox{N}Δ$ cross section in isospin-asymmetric nuclear matter
• The density- and isospin- dependent $\Delta$-formation cross section and its decay width
• Charged pion production from Au + Au collisions at $\sqrt{s_{NN}}=2.4$ GeV in the Relativistic Vlasov-Uehling-Uhlenbeck model
• Determination of the density region of the symmetry energy probed by the ${\pi }^{-}/{\pi }^{+}$ ratio
• In-medium $\mbox{NN}\to \mbox{N}Δ$ cross section and its dependence on effective Lagrange parameters in isospin-asymmetric nuclear matter
• High Density with Elliptic Flows
• Neutron Star Radii from Laboratory Experiments
• The influence of $\delta$ meson on the isospin splitting of in-medium $NN\to N\Delta$ cross sections
• Probing in-medium nucleon-nucleon inelastic scattering cross section by using energetic n/p ratio
• In-medium nucleon-nucleon cross sections from relativistic ab initio calculations
• Nucleon-$\Delta$ elastic cross section in isospin-asymmetric nuclear medium with inclusion of scalar-isovector $\delta$ meson field
• Constraining the Phase-Transition EoS using the Energy Dependence of Directed Flow