Description of neutron-rich odd-mass krypton isotopes within the interacting boson-fermion model based on the Gogny energy density functional

TL;DR

This paper models the structure of neutron-rich odd-mass krypton isotopes using the interacting boson-fermion model informed by Gogny energy density functional calculations, revealing a gradual structural evolution consistent with experimental data.

Contribution

It introduces a microscopic approach combining Gogny EDF with IBFM to predict the structure of odd-mass Kr isotopes, improving understanding of their evolution.

Findings

Predicted gradual structural evolution of $^{87-95}$Kr isotopes.

Model results agree with experimental trends in collectivity.

Provides microscopic input for IBFM parameters based on HFB calculations.

Abstract

The low-lying structure of neutron-rich odd-mass Kr isotopes is studied within the interacting boson-fermion model (IBFM) based on the Gogny-D1M energy density functional (EDF). The $(\beta,\gamma)$-deformation energy surfaces, spherical single-particle energies and occupation probabilities of the odd-mass systems are obtained using the constrained Hartree-Fock-Bogoliubov (HFB) approximation. Those quantities are used as a microscopic input to determine most of the parameters of the IBFM Hamiltonian. The remaining parameters are specifically tailored to the experimental spectrum for each of the studied odd-mass nuclei. A gradual structural evolution is predicted for the odd-mass isotopes $^{87-95}$Kr as a function of the nucleon number which, agrees well with the gradual growth of collectivity observed experimentally in the neighboring even-even isotopes.