Microscopic Calculation of IBM Parameters by Potential Energy Surface Mapping

TL;DR

This paper introduces a new method using a coherent state technique to predict IBM Hamiltonian parameters directly from potential energy surfaces, enabling accurate predictions of nuclear spectra without prior parameter knowledge.

Contribution

The method allows for fully predictive IBM modeling by deriving parameters from mean field energy surfaces, improving upon previous approaches.

Findings

Accurately predicts low-lying energy spectra.

Reproduces electromagnetic transition rates.

Validated with experimental data for multiple nuclei.

Abstract

A coherent state technique is used to generate an Interacting Boson Model (IBM) Hamiltonian energy surface that simulates a mean field energy surface. The method presented here has some significant advantages over previous work. Specifically, that this can be a completely predictive requiring no a priori knowledge of the IBM parameters. The technique allows for the prediction of the low lying energy spectra and electromagnetic transition rates which are of astrophysical interest. Results and comparison with experiment are included for krypton, molybdenum, palladium, cadmium, gadolinium, dysprosium and erbium nuclei.