Exactly separable version of the Bohr Hamiltonian with the Davidson potential       
Yazarlar (8)
Dennis Bonatsos
Institute Of Nuclear And Particle Physics, Yunanistan
E. A. Mccutchan
Yale University, Amerika Birleşik Devletleri
N. Minkov
Institute For Nuclear Research And Nuclear Energy Bulgarian Academy Of Sciences, Bulgaristan
R. F. Casten
Yale University, Amerika Birleşik Devletleri
P. Yotov
Institute For Nuclear Research And Nuclear Energy Bulgarian Academy Of Sciences, Bulgaristan
D. Lenis
Institute Of Nuclear And Particle Physics, Yunanistan
D. Petrellis
Institute Of Nuclear And Particle Physics, Yunanistan
Prof. Dr. İbrahim YİĞİTOĞLU Istanbul Üniversitesi, Türkiye
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale
Dergi Adı Physical Review C Nuclear Physics
Dergi ISSN 0556-2813
Dergi Tarandığı Indeksler SCI
Dergi Grubu Q4
Makale Dili İngilizce
Basım Tarihi 12-2007
Cilt No 76
Sayı 6
DOI Numarası 10.1103/PhysRevC.76.064312
Özet
An exactly separable version of the Bohr Hamiltonian is developed using a potential of the form u(β)+u(γ)/β2, with the Davidson potential u(β)=β2+β04/β2 (where β0 is the position of the minimum) and a stiff harmonic oscillator for u(γ) centered at γ=0°. In the resulting solution, called the exactly separable Davidson (ES-D) solution, the ground-state, γ, and 02+ bands 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 (β0,γ stiffness). Insights are also obtained regarding the recently found correlation between γ stiffness and the γ-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. © 2007 The American Physical Society.
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