Assessing the accuracy of Hartree-Fock-Bogoliubov calculations by use of mass relations

Hartree-Fock-Bogoliubov Calculations in the UCOM Framework

With the advent of new radioactive beam facilities like FAIR, the structure of exotic nuclei far beyond the valley of stability can be probed experimentally, providing a strong motivation for theoretical studies using ab initio approaches and interactions which provide a stringent link to QCD as the fundamental theory of the strong interaction. To this end, we apply second-generation VUCOM inte...

Contact Pairing Interaction for the Hartree- Fock-bogoliubov Calculations

Properties of density-dependent contact pairing interactions in nuclei are discussed. It is shown that the pairing interaction that is intermediate between surface and volume pairing forces gives the pairing gaps that are compatible with the experimental odd-even mass staggering. Results of the deformed Hartree-Fock-Bogoliubov calculations for this \mixed" pairing interaction, and using the tra...

Symmetry-projected Hartree-Fock-Bogoliubov Equations

Symmetry-projected Hartree-Fock-Bogoliubov (HFB) equations are derived using the variational ansatz for the generalized one-body density-matrix in the Valatin form. It is shown that the projected-energy functional can be completely expressed in terms of the HFB density-matrix and the pairing-tensor. The variation of this projected-energy is shown to result in HFB equations with modified express...

0 Coulomb exchange and pairing contributions in nuclear Hartree – Fock – Bogoliubov calculations with the Gogny force

We present exact Hartree–Fock–Bogoliubov calculations with the finite range density dependent Gogny force using a triaxial basis. For the first time, all contributions to the Pairing and Fock Fields arising from the Gogny and Coulomb interactions as well as the two-body correction of the kinetic energy have been calculated in this basis. We analyze the relevance of these terms in different regi...

Implicit ladder summation in the Hartree-Fock-Bogoliubov approach