Exact Solution of the Isovector Proton Neutron Pairing Hamiltonian

Details Exact Solution of the Isovector Proton Neutron Pairing Hamiltonian Exact Solution of the Isovector Proton Neutron Pairing Hamiltonian

2006-01-27

arxiv.org/abs/nucl-th/0601082v1

Phys.Rev.Lett.96:072503,2006

Physics

Nuclear Physics

Nuclear Theory

To be published by Physical Review Letters

Scientific paper

10.1103/PhysRevLett.96.072503

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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