Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2007-03-20
Phys. Rev. Lett. 99, 032501 (2007)
Physics
Nuclear Physics
Nuclear Theory
4 pages, 2 figures
Scientific paper
The exact solution of proton-neutron isoscalar-isovector (T=0,1) pairing Hamiltonian with non-degenerate single-particle orbits and equal pairing strengths (g_{T=1}= g_{T=0}) is presented for the first time. The Hamiltonian is a particular case of a family of integrable SO(8) Richardson-Gaudin (RG) models. The exact solution of the T=0,1 pairing Hamiltonian is reduced to a problem of 4 sets of coupled non linear equations that determine the spectral parameters of the complete set of eigenstates. The microscopic structure of individual eigenstates is analyzed in terms of evolution of the spectral parameters in the complex plane for system of A=80 nucleons. The spectroscopic trends of the exact solutions are discussed in terms of generalized rotations in isospace.
Lerma S. H.
Dukelsky Jorge
Errea Beatriz
Satula Wojciech
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