
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 symmetry and its contraction to the at infinity. Phenomenological consequences are discussed after the re-formulation of the Bohr Hamiltonian in six dimensions on a five sphere.
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