Study of in-medium nucleon-nucleon cross-selection

Abstract

It is the purpose of this thesis to provide a basis and a realistic starting point for systematic relativistic nuclear structure calculations in future. A family of realistic and quantitative nucleon-nucleon (NN) interaction potentials are constructed which are appropriate for application to relativistic NN scattering in the nuclear maller. The Brucekner G-Matrix theory in non-relativistic case is described and the theory is extended to relativistic Dirac-Brueckner formalism for the scattenng of two nucleons in nllC1car medium. The method of matrix inversion is also described for solving the Dirac- Brueckner G-matrix eq"tation and hence finding the :NN cross-sections in nuclear medium. Finally, the dcpendence of NN cross-sections on thc dcnsity of the nuclear medium is discus<;ed by gcomctrical considerallon oflhe Pauli blocking effect of the mectll.lmon frcc NN cross-sections, Some simple approximations show that for hIgh energies the in-medium effect is less important and the frec and in-medium 1\'N cross-sections hccomc approximately equal.