Spin-isospin resonances: A self-consistent covariant description

TL;DR

This paper develops a fully self-consistent relativistic RPA framework based on RHF for charge-exchange excitations, accurately reproducing properties of GTR and SDR in doubly magic nuclei without parameter readjustment.

Contribution

It introduces the first self-consistent charge-exchange relativistic RPA based on RHF, verifying self-consistency and accurately describing key nuclear excitations.

Findings

Accurate reproduction of GTR and SDR properties in selected nuclei.

Verification of self-consistency via isobaric analog state check.

Demonstration of the importance of exchange diagrams.

Abstract

For the first time a fully self-consistent charge-exchange relativistic RPA based on the relativistic Hartree-Fock (RHF) approach is established. The self-consistency is verified by the so-called isobaric analog state (IAS) check. The excitation properties and the non-energy weighted sum rules of two important charge-exchange excitation modes, the Gamow-Teller resonance (GTR) and the spin-dipole resonance (SDR), are well reproduced in the doubly magic nuclei $^{48}$Ca, $^{90}$Zr and $^{208}$Pb without readjustment of the particle-hole residual interaction. The dominant contribution of the exchange diagrams is demonstrated.