Supersymmetry and Nuclear Pairing
A.B. Balantekin (Wisconsin U., Madison), Y. Pehlivan (Wisconsin U.,, Madison)

TL;DR
This paper demonstrates that the nuclear pairing Hamiltonian exhibits supersymmetry in the strong-coupling limit, explaining degeneracies between certain energy states through supersymmetric quantum mechanics.
Contribution
It reveals the supersymmetric structure of the nuclear pairing Hamiltonian and details the transformations connecting degenerate states.
Findings
Degeneracies between N and Nmax-N+1 pair eigenstates explained by supersymmetry.
Supersymmetric quantum mechanical structure identified in the strong-coupling limit.
Explicit supersymmetry transformations connecting these states provided.
Abstract
We show that nuclear pairing Hamiltonian exhibits supersymmetry in the strong-coupling limit. The underlying supersymmetric quantum mechanical structure explains the degeneracies between the energies of the N and Nmax-N+1 pair eigenstates. The supersymmetry transformations connecting these states are given.
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