Analytical solutions of the Bohr Hamiltonian with the Morse potential

Boztosun I., Bonatsos D., Inci I.

PHYSICAL REVIEW C, cilt.77, sa.4, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 77 Sayı: 4
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1103/physrevc.77.044302
  • Dergi Adı: PHYSICAL REVIEW C
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Akdeniz Üniversitesi Adresli: Hayır

Özet

Analytical solutions of the Bohr Hamiltonian are obtained in the gamma-unstable case, as well as in an exactly separable rotational case with gamma approximate to 0, called the exactly separable Morse (ES-M) solution. Closed expressions for the energy eigenvalues are obtained through the asymptotic iteration method (AIM), the effectiveness of which is demonstrated by solving the relevant Bohr equations for the Davidson and Kratzer potentials. All medium mass and heavy nuclei with known beta(1) and gamma(1) bandheads have been fitted by using the two-parameter gamma-unstable solution for transitional nuclei and the three-parameter ES-M for rotational ones. It is shown that bandheads and energy spacings within the bands are well reproduced for more than 50 nuclei in each case.