Dynamic supersymmetries of differential equations with applications to nuclear spectroscopy

Phys Rev Lett. 2005 Jul 29;95(5):052503. doi: 10.1103/PhysRevLett.95.052503. Epub 2005 Jul 28.

Abstract

Dynamic supersymmetries of differential equations are defined. The case of a liquid drop with quadrupole deformation coupled to a particle with j = 3/2 is shown as an example of a situation where the dynamic supersymmetry OSp(5/4) may occur. A special solution, called E(5/4), of interest in the spectroscopy of odd-even nuclei in the transitional region between spherical and gamma unstable is explicitly worked out.