Exact Solution of the Isovector Proton Neutron Pairing Hamiltonian

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

arxiv: nucl-th/0601082 · v1 · submitted 2006-01-27 · ⚛️ nucl-th

Exact Solution of the Isovector Proton Neutron Pairing Hamiltonian

J. Dukelsky , V. G. Gueorguiev , P. Van Isacker , S. Dimitrova , B. Errea , S. Lerma H This is my paper

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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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