Exact Solution of the Isovector Proton Neutron Pairing Hamiltonian

preprint2006arXivOpen access

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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Exact Solution of the Isovector Proton Neutron Pairing Hamiltonian

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