Analytically solvable potentials for $\gamma$-unstable nuclei

Lorenzo Fortunato; Andrea Vitturi

doi:10.1088/0954-3899/29/7/302

Analytically solvable potentials for $\gamma$-unstable nuclei

核理论 2008-11-26 v1

作者: Lorenzo Fortunato , Andrea Vitturi

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摘要

An analytical solution of the collective Bohr equation with a Coulomb-like and a Kratzer-like $\gamma-$ unstable potential in quadrupole deformation space is presented. Eigenvalues and eigenfunctions are given in closed form and transition rates are calculated for the two cases. The corresponding SO(2,1) $\times$ SO(5) algebraic structure is discussed.

关键词

painlevé equations and orthogonal polynomials quantum mechanics potentials schrödinger equation

引用

@article{arxiv.nucl-th/0305042,
  title  = {Analytically solvable potentials for $\gamma$-unstable nuclei},
  author = {Lorenzo Fortunato and Andrea Vitturi},
  journal= {arXiv preprint arXiv:nucl-th/0305042},
  year   = {2008}
}

备注

9 pages, 4 figures in one .ps file

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