# Coexistence and evolution of shapes: mean-field-based interacting boson model

## TL;DR

This paper introduces a microscopic method to derive the interacting boson model Hamiltonian from energy density functional calculations, enabling accurate predictions of nuclear spectra and transitions.

## Contribution

It presents a novel approach to determine IBM parameters directly from microscopic energy density functional calculations, linking mean-field theory with bosonic models.

## Key findings

- Successfully describes intruder states in Cadmium isotopes
- Captures octupole correlations in neutron-rich Barium isotopes
- Provides a unified framework for nuclear shape coexistence and evolution

## Abstract

A method of deriving the Hamiltonian of the interacting boson model, that is based on the microscopic framework of the nuclear energy density functional, is presented. The constrained self-consistent mean-field calculation with a given energy density functional provides potential energy surface within the relevant collective coordinates, which is subsequently mapped onto the expectation value of the interacting-boson Hamiltonian in the boson condensate state. This procedure completely determines the strength parameters of the IBM, and the diagonalization of the mapped Hamiltonian yields excitation spectra and transition rates for a given nucleus. Two recent applications of the method are discussed, that is, the descriptions of the intruder states in Cadmium isotopes and the octupole correlations in neutron-rich odd-mass Barium isotopes.