Exact solution of the nuclear pairing problem

Details Exact solution of the nuclear pairing problem Exact solution of the nuclear pairing problem

2000-11-21

arxiv.org/abs/nucl-th/0011079v3

Phys.Lett.B509:37-42,2001

Physics

Nuclear Physics

Nuclear Theory

10 pages, 2 figures

Scientific paper

10.1016/S0370-2693(01)00431-2

In many applications to finite Fermi-systems, the pairing problem has to be treated exactly. We suggest a numerical method of exact solution based on SU(2) quasispin algebras and demonstrate its simplicity and practicality. We show that the treatment of binding energies with the use of the exact pairing and uncorrelated monopole contribution of other residual interactions can serve as an effective alternative to the full shell-model diagonalization in spherical nuclei. A self-consistent combination of the exactly treated pairing and Hartree-Fock method is discussed. Results for Sn isotopes indicate a good agreement with experimental data.

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