# 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.
Document type :
Journal articles

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

### Citation

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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