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Fixing the moment of inertia in the Bohr Hamiltonian through supersymmetric quantum mechanics

par Bonatsos, Dennis;Georgoudis, P.E.;Lenis, D.;Minkov, Nikolay;Quesne, Christiane
Référence Journal of physics. Conference series, 366, 1, 012017
Publication Publié, 2012

Article révisé par les pairs

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Résumé :

A well known problem of the Bohr-Mottelson model is the behavior of nuclear moments of inertia. The coefficient of the angular part (γ, θ i) of the kinetic energy is proportional to β 2. It is shown how a SUSYQM treatment of the β vibrations, emerges moments of inertia compatible with the experimental picture. This emergence is the result of the SUSYQM solution of the radial equation. Fitting results for the 162Dy and 238U in ground state, β 1 and γ 1 bands are also presented.