Hemispheroidal quantum harmonic oscillator
Copyright policy )Hemispheroidal quantum harmonic oscillator
A new single-particle shell model is derived by solving the Schr��dinger equation for a semi-spheroidal potential well. Only the negative parity states of the $Z(z)$ component of the wave function are allowed, so that new magic numbers are obtained for oblate semi-spheroids, semi-sphere and prolate semi-spheroids. The semi-spherical magic numbers are identical with those obtained at the oblate spheroidal superdeformed shape: 2, 6, 14, 26, 44, 68, 100, 140, ... The superdeformed prolate magic numbers of the semi-spheroidal shape are identical with those obtained at the spherical shape of the spheroidal harmonic oscillator: 2, 8, 20, 40, 70, 112, 168 ...
4 pages, 3 figures, 1 table
FOS: Physical sciences, Physics - Atomic and Molecular Clusters, Atomic and Molecular Clusters (physics.atm-clus)
FOS: Physical sciences, Physics - Atomic and Molecular Clusters, Atomic and Molecular Clusters (physics.atm-clus)
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