Symmetry and Supersymmetry in Nuclear Pairing: Exact Solutions

Details Symmetry and Supersymmetry in Nuclear Pairing: Exact Solutions Symmetry and Supersymmetry in Nuclear Pairing: Exact Solutions

2010-07-07

arxiv.org/abs/1007.1180v1

J.Phys.Conf.Ser.267:012032,2011

Physics

Nuclear Physics

Nuclear Theory

6 pages of LATEX, to be published in the Proceedings of the "10th Int. Spring Seminar on Nuclear Physics: New Quests in Nuclea

Scientific paper

10.1088/1742-6596/267/1/012032

Pairing plays a crucial role in nuclear spectra and attempts to describe it has a long history in nuclear physics. The limiting case in which all single particle states are degenerate, but with different s-wave pairing strengths was only recently solved. In this strong coupling limit the nuclear pairing Hamiltonian also exhibits a supersymmetry. Another solution away from those limits, namely two non-degenerate single particle states with different pairing strengths, was also given. In this contribution these developments are summarized and difficulties with possible generalizations to more single particle states and d-wave pairing are discussed.

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