Microscopic Formulation of Interacting Boson Model for Rotational Nuclei

TL;DR

This paper develops a microscopic formulation of the Interacting Boson Model for rotational nuclei, addressing the discrepancy in moments of inertia by incorporating an $oldsymbol{L} oldsymbol{ imes} oldsymbol{L}$ term derived from mean-field models, and successfully reproduces experimental spectra.

Contribution

It introduces a new method to correct the bosonic moment of inertia in IBM for strongly deformed nuclei using a cranking-derived $oldsymbol{L} oldsymbol{ imes} oldsymbol{L}$ term, improving spectral predictions.

Findings

The $oldsymbol{L} oldsymbol{ imes} oldsymbol{L}$ term improves the agreement with experimental rotational spectra.

The method is validated on rare-earth and actinoid nuclei, reproducing yrast bands accurately.

The approach links microscopic mean-field calculations with the IBM framework.

Abstract

We propose a novel formulation of the Interacting Boson Model (IBM) for rotational nuclei with axially-symmetric strong deformation. The intrinsic structure represented by the potential energy surface (PES) of a given multi-nucleon system has a certain similarity to that of the corresponding multi-boson system. Based on this feature, one can derive an appropriate boson Hamiltonian as already reported. This prescription, however, has a major difficulty in rotational spectra of strongly deformed nuclei: the bosonic moment of inertia is significantly smaller than the corresponding nucleonic one. We present that this difficulty originates in the difference between the rotational response of a nucleon system and that of the corresponding boson system, and could arise even if the PESs of the two systems were identical. We further suggest that the problem can be cured by implementing $\hat{L} \cdot \hat{L}$ term into the IBM Hamiltonian, with coupling constant derived from the cranking approach of Skyrme mean-field models. The validity of the method is confirmed for rare-earth and actinoid nuclei, as their experimental rotational yrast bands are reproduced nicely.