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Exact Solution of the Isovector Proton Neutron Pairing Hamiltonian

J. Dukelsky·V. G. Gueorguiev·P. Van Isacker·S. Dimitrova·B. Errea·S. Lerma H
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Abstract

The complete exact solution of the T=1 neutron-proton pairing Hamiltonian is presented in the context of the SO(5) Richardson-Gaudin model with non-degenerate single-particle levels and including isospin-symmetry breaking terms. The power of the method is illustrated with a numerical calculation for $^{64}$Ge for a $pf+g_{9/2}$ model space which is out of reach of modern shell-model codes.

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J. Dukelsky, V. G. Gueorguiev, P. Van Isacker, S. Dimitrova, B. Errea, S. Lerma H. 2006-01-27. Exact Solution of the Isovector Proton Neutron Pairing Hamiltonian. https://doi.org/10.1103/physrevlett.96.072503

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