Exactly separable version of the Bohr Hamiltonian with the Davidson potential


Bonatsos D., McCutchan E. A., Minkov N., Casten R. F., Yotov P., Lenis D., ...Daha Fazla

PHYSICAL REVIEW C, cilt.76, sa.6, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 76 Sayı: 6
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1103/physrevc.76.064312
  • Dergi Adı: PHYSICAL REVIEW C
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • İstanbul Üniversitesi Adresli: Hayır

Özet

An 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(4)(0)/beta(2) (where beta(0) is the position of the minimum) and a stiff harmonic oscillator for u(gamma) centered at gamma = 0(degrees). In the resulting solution, called the exactly separable Davidson (ES-D) solution, the ground-state, gamma, and 0(2)(+) 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 (beta(0), gamma stiffness). Insights are also obtained 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.