Candidates for three-quasiparticle $K$-isomers in even-odd Fm-Cn nuclei

TL;DR

This paper investigates potential three-quasiparticle high-$K$ isomers in even-odd Fm-Cn nuclei using microscopic-macroscopic models, identifying promising candidates and comparing with experimental data.

Contribution

It extends previous work on $K$-isomers to three-quasiparticle configurations in Fm-Cn nuclei using advanced modeling techniques.

Findings

Identified promising high-$K$ isomer candidates in Fm-Cn nuclei.

Compared theoretical predictions with existing experimental data.

Used dual pairing approaches for energy calculations.

Abstract

Following our study of possible $K$-isomers in odd-even Md-Rg nuclei, here we continue with searching for three-quasiparticle 1$\nu$2$\pi$ and 3$\nu$ isomer candidates in even-odd Fm - Cn nuclei. We use the same approach to calculate energies of different nuclear configurations using a microscopic-macroscopic model with the Woods-Saxon potential. We used two versions of pairing: quasi-particle BCS method and particle number projection formalism. The optimal deformations for both ground states and high-$K$ configurations are determined through a four-dimensional energy minimization process. We point out the most promising candidates for high-$K$ isomers and compare them, where possible, with existing experimental data.