Bohr Hamiltonian with deformation-dependent mass term
Dennis Bonatsos, P. Georgoudis, D. Lenis, N. Minkov, and C. Quesne
TL;DR
This paper introduces a deformation-dependent mass term into the Bohr Hamiltonian, deriving exact solutions for spectra and wave functions with a Davidson potential, and discusses numerical results for Xe-Ba nuclei.
Contribution
It presents a novel modification of the Bohr Hamiltonian with a deformation-dependent mass and provides exact analytical solutions using supersymmetric quantum mechanics.
Findings
Exact spectra and wave functions derived for gamma-unstable Davidson potential.
Numerical analysis of Xe-Ba nuclei region.
Enhanced modeling of nuclear collective motion.
Abstract
The Bohr Hamiltonian describing the collective motion of atomic nuclei is modified by allowing the mass to depend on the nuclear deformation. Exact analytical expressions are derived for spectra and wave functions in the case of a gamma-unstable Davidson potential, using techniques of supersymmetric quantum mechanics. Numerical results in the Xe-Ba region are discussed.
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