An Extended Approximation for the Lowest-lying States in Odd-mass Nuclei

TL;DR

This paper introduces an improved model for the lowest-lying states in odd-mass nuclei, incorporating ground state correlations and explicit quasiparticle-phonon interactions, leading to more accurate predictions of nuclear properties.

Contribution

It extends the Quasiparticle Phonon Model using the Extended Boson Approximation to better account for Pauli principle effects in odd-mass nuclei.

Findings

Calculated transition probabilities for Te, Xe, and Ba isotopes with A≈130.

Demonstrated improved agreement with experimental data.

Provided a more accurate description of ground state correlations.

Abstract

An enhanced model, based on the Extended Boson Approximation, for the lowest-lying states in odd-mass nuclei is presented. Our approach is built on the Quasiparticle Phonon Model, extending it to take into account the ground state correlations due to the action of the Pauli principle more accurately than in the conventional theory. The derived interaction strengths between the quasiparticles and the phonons in this model depend on the quasiparticle occupation numbers explicitly coupling the odd-mass nucleus equations with those of the even-even core. Within this model we calculated the transition probabilities in several Te, Xe and Ba isotopes with A$\approx$130.