Analytical Special Solutions of the Bohr Hamiltonian

2005/12/13 by D. Bonatsos, Dennis Bonatsos, Bonatsos, D. +8
Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #nucl-th

paper · pdf · doi:10.48550/arxiv.nucl-th/0512046

6 pages, LaTeX, including 11 .eps figures. To appear in the Proceedings of the Workshop on Symmetries and Low-Energy Phase Transitions in Nuclear-Structure Physics (Camerino, October 9-11, 2005)

arxiv created 2005/12/13 · openalex publication_date 2005/12/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The following special solutions of the Bohr Hamiltonian are briefly described: 1) Z(5) (approximately separable solution in five dimensions with gamma close to 30 degrees), 2) Z(4) (exactly separable gamma-rigid solution in four dimensions with gamma = 30 degrees), 3) X(3) (exactly separable gamma-rigid solution in three dimensions with gamma =0). The analytical solutions obtained using Davidson potentials in the E(5), X(5), Z(5), and Z(4) frameworks are also mentioned.

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