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arXiv · 1506.07444

Analytical solutions for the Bohr Hamiltonian with the Woods-Saxon potential

M. Capak·D. Petrellis·B. Gonul·Dennis Bonatsos
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Abstract

Approximate analytical solutions in closed form are obtained for the 5-dimensional Bohr Hamiltonian with the Woods-Saxon potential, taking advantage of the Pekeris approximation and the exactly soluble one-dimensional extended Woods-Saxon potential with a dip near its surface. Comparison to the data for several gamma-unstable and prolate deformed nuclei indicates that the potential can describe well the ground state and gamma-1 bands of many prolate deformed nuclei corresponding to large enough "well size" and diffuseness, while it fails in describing the beta-1 bands, due to its lack of a hard core, as well as in describing gamma-unstable nuclei, because of the small "well size" and diffuseness they exhibit.

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M. Capak, D. Petrellis, B. Gonul, Dennis Bonatsos. 2015-06-24. Analytical solutions for the Bohr Hamiltonian with the Woods-Saxon potential. https://arxiv.org/abs/1506.07444

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