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Exact Solution of the Isovector Proton Neutron Pairing Hamiltonian

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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http://hal.in2p3.fr/in2p3-00025556
Contributor : Michel Lion <>
Submitted on : Friday, February 3, 2006 - 2:30:26 PM
Last modification on : Thursday, February 1, 2018 - 1:26:48 AM

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J. Dukelsky, V. G. Gueorguiev, P. van Isacker, S. Dimitrova, B. Errea, et al.. Exact Solution of the Isovector Proton Neutron Pairing Hamiltonian. Physical Review Letters, American Physical Society, 2006, 96, pp.1072503-1-4. ⟨10.1103/PhysRevLett.96.072503⟩. ⟨in2p3-00025556⟩

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