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

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

2006-07-28

arxiv.org/abs/nucl-th/0607064v2

Phys.Lett.B648:171-175,2007

Physics

Nuclear Physics

Nuclear Theory

four two column pages, 1 figure

Scientific paper

10.1016/j.physletb.2007.03.011

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.

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