Integrability and exact spectrum of a pairing model for nucleons

Details Integrability and exact spectrum of a pairing model for nucleons Integrability and exact spectrum of a pairing model for nucleons

2001-10-31

arxiv.org/abs/nlin/0110049v1

J.Phys.A35:6459-6470,2002

Nonlinear Sciences

Exactly Solvable and Integrable Systems

14 pages, latex, no figures

Scientific paper

10.1088/0305-4470/35/30/317

A pairing model for nucleons, introduced by Richardson in 1966, which describes proton-neutron pairing as well as proton-proton and neutron-neutron pairing, is re-examined in the context of the Quantum Inverse Scattering Method. Specifically, this shows that the model is integrable by enabling the explicit construction of the conserved operators. We determine the eigenvalues of these operators in terms of the Bethe ansatz, which in turn leads to an expression for the energy eigenvalues of the Hamiltonian.

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