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arXiv · 1502.07590

A microscopic derivation of nuclear collective rotation-vibration model, axially symmetric case

Parviz Gulshani
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Abstract

We derive a microscopic version of the successful phenomenological hydrodynamic model of Bohr-Davydov-Faessler-Greiner for collective rotation-vibration motion of an axially symmetric deformed nucleus. The derivation is not limited to small oscillation amplitude. The nuclear Schrodinger equation is canonically transformed the to collective co-ordinates, which is then linearized using a constrained variational method. The associated constraints are imposed on the wavefunction rather than on the particle co-ordinates. The approach yields three self-consistent, time-reversal invariant, cranking-type Schrodinger equations for the rotation-vibration and intrinsic motions, and a self-consistency equation. For harmonic oscillator mean-field potentials, these equations are solved in closed forms and applied to the ground-state rotational bands in some axially-symmetric nuclei. The results are compared with the measured data.

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Parviz Gulshani. 2015-05-12. A microscopic derivation of nuclear collective rotation-vibration model, axially symmetric case. https://doi.org/10.1139/cjp-2015-0371

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