Analytically solvable potentials for $γ$-unstable nuclei

Details Analytically solvable potentials for $γ$-unstable nuclei Analytically solvable potentials for $γ$-unstable nuclei

2003-05-14

arxiv.org/abs/nucl-th/0305042v1

J.Phys.G29:1341-1350,2003

Physics

Nuclear Physics

Nuclear Theory

9 pages, 4 figures in one .ps file

Scientific paper

10.1088/0954-3899/29/7/302

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.

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