The Gamow-Teller Resonance in Finite Nuclei in the Relativistic Random Phase Approximation

Abstract

Gamow-Teller(GT) resonances in finite nuclei are studied in a fully consistent relativistic random phase approximation (RPA) framework. A relativistic form of the Landau-Migdal contact interaction in the spin-isospin channel is adopted. This choice ensures that the GT excitation energy in nuclear matter is correctly reproduced in the non-relativistic limit. The GT response functions of doubly magic nuclei ${}^{48}$Ca, ${}^{90}$Zr and ${}^{208}$Pb are calculated using the parameter set NL3 and $g_0^{\prime }$=0.6 . It is found that effects related to Dirac sea states account for a reduction of 6-7 % in the GT sum rule.

9 pages, 1 figure