Exactly separable version of the Bohr Hamiltonian with the Davidson potential

Simple item page
dc.creatorBonatsos, Dennis
dc.creatorMcCutchan, E. A.
dc.creatorMinkov, N.
dc.creatorCasten, R. F.
dc.creatorYotov, P.
dc.creatorLenis, D.
dc.creatorPetrellis, D.
dc.creatorYigitoglu, I.
dc.date2008-07-28
dc.date.accessioned2026-07-07T12:53:24Z
dc.date.available2026-07-07T12:53:24Z
dc.descriptionAn exactly separable version of the Bohr Hamiltonian is developed using a potential of the form u(beta)+u(gamma)/beta^2, with the Davidson potential u(beta)= beta^2 + beta_0^4/beta^2 (where beta_0 is the position of the minimum) and a stiff harmonic oscillator for u(gamma) centered at gamma=0. In the resulting solution, called exactly separable Davidson (ES-D), the ground state band, gamma band and 0_2^+ band are all treated on an equal footing. The bandheads, energy spacings within bands, and a number of interband and intraband B(E2) transition rates are well reproduced for almost all well-deformed rare earth and actinide nuclei using two parameters (beta_0, gamma stiffness). Insights regarding the recently found correlation between gamma stiffness and the gamma-bandhead energy, as well as the long standing problem of producing a level scheme with Interacting Boson Approximation SU(3) degeneracies from the Bohr Hamiltonian, are also obtained.
dc.description35 pages, 11 postscript figures, LaTeX
dc.identifierhttps://arxiv.org/abs/0807.4447
dc.identifierhttp://arxiv.org/abs/0807.4447
dc.identifierPhys.Rev.C76:064312,2007
dc.identifierdoi:10.1103/PhysRevC.76.064312
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223608
dc.subjectNuclear Theory
dc.titleExactly separable version of the Bohr Hamiltonian with the Davidson potential
dc.typetext

Files

Collections

arXiv