Solvable models for the gamma deformation having X(5) as limiting symmetry. Removing some drawbacks of the existent descriptions

Abstract

Two solvable Hamiltonians for describing the dynamic gamma deformation, are proposed. The limiting case of each of them is the X(5) Hamiltonian. Analytical solutions for both energies and wave functions, which are periodic in $\gamma$, are presented in terms of spheroidal and Mathieu functions, respectively. Moreover, the gamma depending factors of the transition operator can be treated.

arXiv commentfour two column pages, 1 figure

References in corpus (5)

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Cited by in corpus (7)

• Exactly separable version of the Bohr Hamiltonian with the Davidson potential
• Bohr Hamiltonian with Hulth?en plus Ring shaped potential for triaxial nuclei
• Specific features and symmetries for magnetic and chiral bands in nuclei
• Application of the sextic oscillator with centrifugal barrier and the spheroidal equation for some X(5) candidate nuclei
• Description of the isotope chain ${}^{180-196}$Pt within some solvable approaches
• A solvable model which has X(5) as a limiting symmetry and removes some inherent drawbacks
• Semiclassical unified description of wobbling motion in even-even and even-odd nuclei