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

Abstract

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 regions of the periodic table at zero and high angular momentum. The validity of commonly used approximations that neglect different terms in the variational equations is also checked. We find a decrease of the proton pairing energies mainly due to a Coulomb antipairing effect.

32 pages, 12 figures. In press in Nucl. Physics A

References in corpus (1)

• Approximate particle number projection with density dependent forces: Superdeformed bands in the A=150 and A=190 regions

Cited by in corpus (62)

• Nuclear energy density optimization: Large deformations
• Microscopic Theory of Nuclear Fission: A Review
• Triaxial Angular Momentum Projection and Configuration Mixing calculations with the Gogny force
• Particle number projection with effective forces
• ${}^{78}$Ni revealed as a doubly magic stronghold against nuclear deformation
• Odd-even mass differences from self-consistent mean-field theory
• Fission half-lives of super-heavy nuclei in a microscopic approach
• Selfconsistent calculations of fission barriers in the Fm region
• Particle-Number Restoration within the Energy Density Functional Formalism
• Accurate nuclear masses from a three parameter Kohn-Sham DFT approach (BCPM)
• Microscopic calculation of 240Pu scission with a finite-range effective force
• Effective pairing interactions with isospin density dependence
• Pairing and rotational properties of actinides and superheavy nuclei in covariant density functional theory
• State-of-the-art of beyond mean field theories with nuclear density functionals
• Solution of the Skyrme HF+BCS equation on a 3D mesh. II. A new version of the Ev8 code
• Non-empirical pairing energy density functional. First order in the nuclear plus Coulomb two-body interaction
• Mean-field Based Approaches to Pairing Correlations in Atomic Nuclei
• Gamow-Teller strength in deformed nuclei within the self-consistent charge-exchange quasi-particle random-phase approximation with the Gogny force
• Bare vs effective pairing forces. A microscopic finite-range interaction for HFB calculations in coordinate space
• The time-dependent generator coordinate method in nuclear physics
• Optimal pair density functional for description of nuclei with large neutron excess
• Isovector spin-singlet (T=1, S=0) and isoscalar spin-triplet (T=0, S=1) pairing interactions and spin-isospin response
• Non-empirical pairing functional
• Semi-realistic nucleon-nucleon interactions with improved neutron-matter properties
• A method of implementing Hartree-Fock calculations with zero- and finite-range interactions
• Isospin-symmetry restoration within the nuclear density functional theory: formalism and applications
• Predicting magic numbers of nuclei with semi-realistic nucleon-nucleon interactions
• Microscopic description of fission in neutron-rich plutonium isotopes with the Gogny-D1M energy density functional
• The Slater approximation for Coulomb exchange effects in nuclear covariant density functional theory
• Pairing Nambu-Goldstone Modes within Nuclear Density Functional Theory
• Large amplitude pairing fluctuations in atomic nuclei
• Collective inertia of Nambu-Goldstone mode from linear response theory
• Ground-state properties of even and odd Magnesium isotopes in a symmetry-conserving approach
• Tetrahedral symmetry in Zr nuclei: Calculations of low-energy excitations with Gogny interaction
• Uncertainty Quantification and Propagation in Nuclear Density Functional Theory
• Pairing in the Framework of the Unitary Correlation Operator Method (UCOM): Hartree-Fock-Bogoliubov Calculations
• Parity restoration in the Highly Truncated Diagonalization Approach: application to the outer fission barrier of ${}^{240}$Pu
• Role of dynamic pairing correlations in fission dynamics
• The nuclear energy density functional formalism
• Global investigation of odd-even mass differences and radii with isospin dependent pairing interactions
• Ground-state properties of even-even N=Z nuclei within the Hartree-Fock-BCS and Higher Tamm-Dancoff approaches
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• Microscopic description of rotation: From ground states to the extremes of ultra-high spin
• Coulombic effect and renormalization in nuclear pairing
• Coulomb exchange functional with generalized gradient approximation for self-consistent Skyrme Hartree-Fock calculations
• Nuclear effective charge factor originating from covariant density functional theory
• Symmetry Conserving Configuration Mixing description of odd mass nuclei
• Consistency of two different approaches to determine the strength of a pairing residual interaction in the rare-earth region
• Angular momentum projected multi-cranked configuration mixing for reliable calculation of high-spin rotational bands
• A study of self-consistent Hartree-Fock plus Bardeen-Cooper-Schrieffer calculations with finite-range interactions
• Matter distribution and spin-orbit force in spherical nuclei
• The optimized point-coupling interaction for the relativistic energy density functional of Hartree-Bogoliubov approach quantifying the nuclear bulk properties
• Pairing in spherical nuclei: quasi-particle random phase approximation calculations with the Gogny interaction
• Coulomb and spin-orbit interactions in random phase approximation calculations
• Tensor force and deformation in even-even nuclei
• Further microscopic studies of the fission barriers of heavy nuclei
• Configuration mixing within the energy density functional formalism: pathologies and cures
• Impact of choices for center-of-mass correction energy on the surface energy of Skyrme energy density functionals
• High-spin structures as the probes of proton-neutron pairing
• Coupling between collective modes in the deformed ${}^{98}$Zr nucleus: Insights from consistent HFB+QRPA calculations with the Gogny interaction
• Quadrupole Strength in Isobaric Triplets
• Mirror-skin thickness: a possible observable sensitive to the charge symmetry breaking energy density functional