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Exact solution of the spin-isospin proton-neutron pairing Hamiltonian.
Phys Rev Lett
July 2007
Instituto de Estructura de la Materia, CSIC, Serrano 123, 28006 Madrid, Spain.
The exact solution of the proton-neutron isoscalar-isovector (T=0,1) pairing Hamiltonian with nondegenerate single-particle orbits and equal pairing strengths is presented for the first time. The Hamiltonian is a particular case of a family of integrable SO(8) Richardson-Gaudin models. The exact solution of the T=0,1 pairing Hamiltonian is reduced to a problem of 4 sets of coupled nonlinear equations that determine the spectral parameters of the complete set of eigenstates.
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