A new renormalization procedure of the quasiparticle random phase approximation

TL;DR

This paper introduces a novel renormalization method for the quasiparticle random phase approximation that redefines the ground state by including quadrupole pairing, leading to unique solution features and improved understanding of residual interactions.

Contribution

It presents a new renormalization procedure for QRPA that accounts for quadrupole pairing in the ground state, differing from existing methods.

Findings

First root does not vanish at any interaction strength

Comparison shows differences with other renormalization methods

Provides insights into residual interactions in QRPA

Abstract

The ground state of a many body Hamiltonian considered in the quasiparticle representation is redefined by accounting for the quasiparticle quadrupole pairing interaction. The residual interaction of the newly defined quasiparticles is treated by the QRPA. Solutions of the resulting equations exhibit specific features. In particular, there is no interaction strength where the first root is vanishing. A comparison with other renormalization methods is presented.