Bohr space in six dimensions

TL;DR

This paper introduces a six-dimensional conformal embedding of the Bohr model, highlighting the $O(6)$ symmetry and its contraction to $E(5)$, with implications for the Bohr Hamiltonian reformulated on a five-sphere.

Contribution

It presents a novel six-dimensional conformal embedding of the Bohr model, elucidating symmetry structures and reformulating the Hamiltonian on a five-sphere.

Findings

Identification of $O(6)$ symmetry in six-dimensional Bohr space

Contraction of $O(6)$ symmetry to $E(5)$ at infinity

Reformulation of the Bohr Hamiltonian on a five-sphere

Abstract

A conformal factor in the Bohr model embeds Bohr space in six dimensions, revealing the $O(6)$ symmetry and its contraction to the $E(5)$ at infinity. Phenomenological consequences are discussed after the re-formulation of the Bohr Hamiltonian in six dimensions on a five sphere.