Solutions of the Bohr hamiltonian, a compendium
| dc.creator | Fortunato, Lorenzo | |
| dc.date | 2004-11-22 | |
| dc.date.accessioned | 2026-07-07T06:26:46Z | |
| dc.date.available | 2026-07-07T06:26:46Z | |
| dc.description | The Bohr hamiltonian, also called collective hamiltonian, is one of the cornerstone of nuclear physics and a wealth of solutions (analytic or approximated) of the associated eigenvalue equation have been proposed over more than half a century (confining ourselves to the quadrupole degree of freedom). Each particular solution is associated with a peculiar form for the $V(β,γ)$ potential. The large number and the different details of the mathematical derivation of these solutions, as well as their increased and renewed importance for nuclear structure and spectroscopy, demand a thorough discussion. It is the aim of the present monograph to present in detail all the known solutions in $γ-$unstable and $γ-$stable cases, in a taxonomic and didactical way. In pursuing this task we especially stressed the mathematical side leaving the discussion of the physics to already published comprehensive material. The paper contains also a new approximate solution for the linear potential, and a new solution for prolate and oblate soft axial rotors, as well as some new formulae and comments, and an appendix on the analysis of a few interesting numerical sequences appearing in this context. The quasi-dynamical SO(2) symmetry is proposed in connection with the labeling of bands in triaxial nuclei. | |
| dc.description | 48 pages, 28 figures, 6 tables | |
| dc.identifier | https://arxiv.org/abs/nucl-th/0411087 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/0411087 | |
| dc.identifier | Eur.Phys.J. A26S1 (2005) 1-30 | |
| dc.identifier | doi:10.1140/epjad/i2005-07-115-8 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97211 | |
| dc.subject | Nuclear Theory | |
| dc.title | Solutions of the Bohr hamiltonian, a compendium | |
| dc.type | text |