Phys. Rev. Lett. 95, 052503 (2005) [4 pages]Dynamic Supersymmetries of Differential Equations with Applications to Nuclear SpectroscopyReceived 25 March 2005; published 28 July 2005 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. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.052503
DOI:
10.1103/PhysRevLett.95.052503
PACS:
21.60.Fw, 21.10.Re, 21.60.Ev
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