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arXiv · 1007.1180

Symmetry and Supersymmetry in Nuclear Pairing: Exact Solutions

A. B. Balantekin·Y. Pehlivan
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Abstract

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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A. B. Balantekin, Y. Pehlivan. 2010-07-07. Symmetry and Supersymmetry in Nuclear Pairing: Exact Solutions. https://doi.org/10.1088/1742-6596%2F267%2F1%2F012032

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