Density and temperature dependence of nucleon-nucleon elastic cross section

Abstract

The in-medium neutron-proton, proton-proton (neutron-neutron) elastic scattering cross sections (${\sigma }_{np}^{\ast }$, ${\sigma }_{pp(nn)}^{\ast }$) are studied based on the effective Lagrangian of density dependent relativistic hadron theory in which the $\delta$[$a_0(980)$] meson is included. Our study shows that at low densities the ${\sigma }_{np}^{\ast }$ is about 3-4 times larger than ${\sigma }_{pp(nn)}^{\ast }$ and at densities higher than the normal density the isospin effect is almost washed out. Because of coupling to $\delta$ meson the ${\sigma }_{nn}^{\ast }$ and ${\sigma }_{pp}^{\ast }$ are different in isospin asymmetric medium following the splitting of the proton and neutron mass. The isospin effect on the density dependence of the in-medium nucleon elastic cross section is dominantly contributed by the isovector $\delta$ and $\rho$ mesons. The temperature effect on the ${\sigma }_{np}^{\ast }$ and ${\sigma }_{pp(nn)}^{\ast }$ is studied. It is shown that the temperature effect is weaker compared with the density effect but it becomes obvious as density increases.

11 pages,4 figures, 1 table. accepted by PRC

References in corpus (3)

• Asymmetric nuclear matter:the role of the isovector scalar channel
• Enhanced Production of Neutron-Rich Rare Isotopes in Peripheral Collisions at Fermi Energies
• In-medium vector meson properties and low-mass dilepton production from hot hadronic matter

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