Density and temperature dependence of nucleon-nucleon elastic cross section

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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

Scientific paper

10.1103/PhysRevC.69.017601

The in-medium neutron-proton, proton-proton (neutron-neutron) elastic scattering cross sections ($\sigma_{np}^{*}$, $\sigma_{pp(nn)}^{*}$) 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 $\sigma_{np}^*$ is about 3-4 times larger than $\sigma_{pp(nn)}^*$ and at densities higher than the normal density the isospin effect is almost washed out. Because of coupling to $\delta$ meson the $\sigma_{nn}^*$ and $\sigma_{pp}^*$ 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 $\sigma_{np}^*$ and $\sigma_{pp(nn)}^*$ is studied. It is shown that the temperature effect is weaker compared with the density effect but it becomes obvious as density increases.

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