Beyond mean-field boson-fermion model for odd-mass nuclei

TL;DR

This paper presents a new method combining nuclear energy density functional theory and particle-core coupling to accurately predict spectroscopic properties of odd-mass nuclei, improving upon traditional mean-field models.

Contribution

The novel approach integrates self-consistent mean-field calculations with particle-core coupling, enabling precise modeling of odd-mass nuclei's spectroscopic features.

Findings

Successfully applied to Eu isotopes, reproducing low-energy spectra.

Accurately predicts transition rates and excitation energies.

Parameter determination is largely self-consistent, with minimal adjustments.

Abstract

A novel method for calculating spectroscopic properties of medium-mass and heavy atomic nuclei with an odd number of nucleons is introduced, based on the framework of nuclear energy density functional theory and the particle-core coupling scheme. The deformation energy surface of the even-even core, as well as the spherical single-particle energies and occupation probabilities of the odd particle(s), are obtained in a self-consistent mean-field calculation determined by the choice of the energy density functional and pairing interaction. This method uniquely determines the parameters of the Hamiltonian of the boson core, and only the strength of the particle-core coupling is specifically adjusted to selected data for a particular nucleus. The approach is illustrated in a systematic study of low-energy excitation spectra and transition rates of axially deformed odd-mass Eu isotopes.