Relativistic RPA for Isobaric Analogue and Gamow-Teller Resonances in Closed Shell Nuclei

Abstract

We perform a self-consistent relativistic RPA calculation for the isobaric analogue and Gamow-Teller resonances based on relativistic mean field theory results for the ground states of ${}^{48}$Ca, ${}^{90}$Zr and ${}^{208}$Pb. We use the parameter set NL1 for the $\sigma$, $\omega$ and $\rho$ mesons, and experimental values for the pion and nucleon. An extra parameter, related to the intensity of the contact term in the pion-exchange interaction, is crucial to reproduce the latter resonances.

Comments: Minor changes to match version to be published in Phys. Lett B, 13 pages, LaTeX, 1 postSript figure