THE AXIAL CHARGE RENORMALIZATION IN A RELATIVISTIC DESCRIPTION OF FINITE NUCLEI

Starting from a realistic one-boson-exchange model of the nucleon-nucl eon interaction the relativistic mean field for nucleons is determined within the Dirac-Brueckner-Hartree-Fock approach for finite nuclei, T he matrix elements of the axial charge operator evaluated for the solu tions of the Dirac equation with this self-energy are investigated. Th ese matrix elements are enhanced with respect to the equivalent nonrel ativistic ones obtained from the solutions of the Schrodinger equation with the nonrelativistic equivalent potential. The present results co nfirm at a qualitative level the results for the axial charge renormal ization obtained with perturbative approaches. However, the results ob tained differ in size from those of the perturbative approach and are nucleus and state dependent.