Nucleon-nucleon cross sections in neutron-rich matter and isospin transport in heavy-ion reactions at intermediate energies

Aug, 2005
32 pages
Published in:
  • Phys.Rev.C 72 (2005) 064611
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Abstract:
Nucleon-nucleon (NN) cross sections are evaluated in neutron-rich matter using a scaling model according to nucleon effective masses. It is found that the in-medium NN cross sections are not only reduced but also have a different isospin dependence compared with the free-space ones. Because of the neutron-proton effective mass splitting the difference between nn and pp scattering cross sections increases with the increasing isospin asymmetry of the medium. Within the transport model IBUU04, the in-medium NN cross sections are found to influence significantly the isospin transport in heavy-ion reactions. With the in-medium NN cross sections, a symmetry energy of Esym(ρ)31.6(ρ/ρ0)0.69E_{sym}(\rho)\approx 31.6(\rho /\rho_{0})^{0.69} was found most acceptable compared with both the MSU isospin diffusion data and the presently acceptable neutron-skin thickness in 208^{208}Pb. The isospin dependent part Kasy(ρ0)K_{asy}(\rho _{0}) of isobaric nuclear incompressibility was further narrowed down to 500±50-500\pm 50 MeV. The possibility of determining simultaneously the in-medium NN cross sections and the symmetry energy was also studied. The proton transverse flow, or even better the combined transverse flow of neutrons and protons, can be used as a probe of the in-medium NN cross sections without much hindrance from the uncertainties of the symmetry energy.
  • 25.70.-z