Quadrupole collective states within the Bohr collective Hamiltonian

TL;DR

This paper reviews the Bohr collective model for quadrupole states, detailing its kinematics, Hamiltonian formulations, and microscopic derivations, and applies it to interpret properties of heavy nuclei.

Contribution

It provides a comprehensive review of the Bohr Hamiltonian, including derivations and solutions, and applies the model to analyze collective properties of specific heavy nuclei.

Findings

Microscopic derivation of the Bohr Hamiltonian

Application to heavy nuclei in the Hf-Hg region

Discussion of solution methods for the eigenvalue problem

Abstract

The article reviews the general version of the Bohr collective model for the description of quadrupole collective states, including a detailed study the model's kinematics. The general form of the classical and quantum Bohr Hamiltonian is presented together with a discussion of the tensor structure of the collective wave functions and with a short review of various methods of solving the Bohr Hamiltonian eigenvalue equation.The methods of derivation of the classical and quantum Bohr Hamiltonian from the microscopic many-body theory are recalled and the microscopic approach to the Bohr Hamiltonian is applied to interpret collective properties of 12 heavy even-even nuclei in the Hf-Hg region.