The in-medium nn cross section and the transport properties of neutron matter using the LOCV effective two-body interaction

Abstract

Abstract In order to calculate the in-medium neutron–neutron (nn) differential cross section and the transport properties of the pure neutron matter, the lowest order constrained variational (LOCV) method is applied to obtain the effective nucleon–nucleon (NN) interactions from the various bare realistic phenomenological NN interaction. The wide range of potentials, such as the Reid 68 , the Δ - Reid 68 , the V 8 ′ and the Av 18 are used as the input phenomenological interactions. The approach, based on the effective NN interaction, allows for a consistent description of the neutron matter and the nucleon–nucleon scattering in the nuclear medium. In this work, by using the above LOCV effective NN interactions, beside the nn differential cross section, the related quantities such as the shear viscosity and the thermal conductivity of the pure neutron matter, which are the important gradient for the stellar structure, are calculated within the Landau–Abrikosov–Khalatnikov (LAK) formalism. It is shown that, while the density dependence of effective mass are not important, the choice of in-medium effective interaction has crucial rule on the resulting nn differential cross section as well as the shear viscosity and the thermal conductivity of pure neutron matter. Finally, our above LOCV calculations are compared with those predicted by the other theoretical methods.