Coherent quadrupole-octupole states from a SUSY-QM Hamiltonian hierarchy and shape invariance
Abstract
We show that the potential in the radial equation in the model of coherent quadrupole-octupole motion (CQOM) in nuclei generates a sequence of superpotentials and subsequent series of effective potentials which satisfy the shape-invariance condition and correspond to a SUSY-QM hierarchy of Hamiltonians. On this basis we suggest that the original CQOM level scheme possesses a generic supersymmetric structure of the spectrum inherent for the coherent quadrupole-octupole mode. We outline the mechanism in which the real quadrupole-octupole spectra in even-even and odd-even nuclei deviate from the genuine symmetry. By using it we illustrate the possibilities to identify the signs of supersymmetry in the alternating-parity spectra of even-even nuclei and the quasi-parity-doublet levels of odd-mass nuclei described within the CQOM model approach.
Keywords
Cite
@article{arxiv.1705.02014,
title = {Coherent quadrupole-octupole states from a SUSY-QM Hamiltonian hierarchy and shape invariance},
author = {N. Minkov and S. Drenska and P. Yotov},
journal= {arXiv preprint arXiv:1705.02014},
year = {2017}
}
Comments
13 pages, 2 figures, Proceedings of the 33-rd International Workshop on Nuclear Theory (Rila Mountains, Bulgaria 2014)