Proton-neutron symmetry in 92Zr, 94Mo with Skyrme interactions in a separable approximation

TL;DR

This paper investigates the low-energy quadrupole excitations in zirconium-92 and molybdenum-94 using Skyrme interactions within a separable QRPA framework, successfully describing experimental M1 transitions.

Contribution

It introduces a method combining Skyrme interactions with a finite-rank separable approximation to accurately model low-energy nuclear excitations.

Findings

Reasonable agreement with experimental data

Successful description of M1 transitions

Effective use of large two-quasiparticle spaces

Abstract

Starting from a Skyrme interaction we study the properties of the low-energy spectrum of quadrupole excitations in 90,92Zr, 92,94Mo. The coupling between one- and two-phonon terms in the wave functions of excited states are taken into account. We use the finite-rank separable approximation which enables one to perform the QRPA calculations in very large two-quasiparticle spaces. Our results from the SGII Skyrme interaction in connection with the volume pairing interaction are in reasonable agreement with experimental data. In particular, we present the successful description of the M1 transition between low-energy quadrupole excitations.