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.
