Relativistic Hartree-Fock-Bogoliubov theory with Density Dependent Meson-Nucleon Couplings

Details Relativistic Hartree-Fock-Bogoliubov theory with Density Dependent Meson-Nucleon Couplings Relativistic Hartree-Fock-Bogoliubov theory with Density Dependent Meson-Nucleon Couplings

2008-12-05

arxiv.org/abs/0812.1103v3

Phys.Rev.C81:024308,2010

Physics

Nuclear Physics

Nuclear Theory

11 pages, 2 tables and 4 figures

Scientific paper

10.1103/PhysRevC.81.024308

Relativistic Hartree-Fock-Bogoliubov (RHFB) theory with density-dependent meson-nucleon couplings is presented. The integro-differential RHFB equations are solved by expanding the different components of the quasi-particle spinors in the complete set of eigen-solutions of the Dirac equations with Woods-Saxon potentials. Using the finite-range Gogny force D1S as an effective interaction in the pairing channel, systematic RHFB calculations are performed for Sn isotopes and N=82 isotones. It is demonstrated that an appropriate description of both mean field and pairing effects can be obtained within RHFB theory with finite range Gogny pairing forces. Better systematics are also found in the regions from the stable to the neutron-rich side with the inclusion of Fock terms, especially in the presence of $\rho$-tensor couplings.

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