Renormalization of the Hartree-Fock-Bogoliubov Equations in the Case of a Zero Range Pairing Interaction
arXiv:nucl-th/0106062 · doi:10.1103/PhysRevLett.88.042504
Abstract
We introduce a natural and simple to implement renormalization scheme of the Hartree-Fock-Bogoliubov (HFB) equations for the case of zero range pairing interaction. This renormalization scheme proves to be equivalent to a simple energy cut-off with a position dependent running coupling constant.
4 pages, 1 figure. The text has changed somewhat, replaced the figure with a different one, however initial assumptions and conclusions remained unchanged
References in corpus (1)
Cited by in corpus (137)
- Pairing in nuclear systems: from neutron stars to finite nuclei
- The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
- Induced Fission of Pu within a Real-Time Microscopic Framework
- Coordinate-space solution of the Skyrme-Hartree-Fock-Bogolyubov equations within spherical symmetry. The program HFBRAD (v1.0)
- Isovector splitting of nucleon effective masses, ab-initio benchmarks and extended stability criteria for Skyrme energy functionals
- Heavy-ions collisions and fission dynamics with the time-dependent Hartree-Fock theory and its extensions
- Superfluidity in nuclear systems and neutron stars
- Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. IX: Constraint of pairing force to neutron-matter gap
- Spatial structure of neutron Cooper pair in low density uniform matter
- One-quasiparticle States in the Nuclear Energy Density Functional Theory
- Direct Imaging of Spatially Modulated Superfluid Phases in Atomic Fermion Systems
- Local Density Functional Theory for Superfluid Fermionic Systems: The Unitary Gas
- Time-Dependent Density-Functional Theory for Trapped Strongly-Interacting Fermionic Atoms
- Toward ab initio density functional theory for nuclei
- Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. III: Role of particle-number projection
- Beyond Mean-Field Calculations for Odd-A Nuclei
- Isovector Giant Dipole Resonance from the 3D Time-Dependent Density Functional Theory for Superfluid Nuclei
- The fission barriers in Actinides and superheavy nuclei in covariant density functional theory
- Theory of Nuclear Fission
- Pairing Vibrations Study with the Time-Dependent Hartree-Fock-Bogoliubov theory
- Fission Dynamics of 240Pu from Saddle-to-Scission and Beyond
- Time-Dependent Density Functional Theory and the Real-Time Dynamics of Fermi Superfluids
- The Vortex State in a Strongly Coupled Dilute Atomic Fermionic Superfluid
- Vortex pinning and dynamics in the neutron star crust
- Novel Role of Superfluidity in Low-Energy Nuclear Reactions
- Microscopic calculation and LDA of the spatial dependence of the pairing field with bare and induced interactions
- Local Density Approximation for Systems with Pairing Correlations
- A Minimal Nuclear Energy Density Functional
- Solution of the Skyrme HF+BCS equation on a 3D mesh. II. A new version of the Ev8 code
- Energy Density Functional Approach to Superfluid Nuclei
- Computational Nuclear Quantum Many-Body Problem: The UNEDF Project
- Density-functional theory for fermions in the unitary regime
- Critical velocity of superfluid flow through single barrier and periodic potentials
- Mean field thermodynamics of a spin-polarized spherically trapped Fermi gas at unitarity
- Skyrme functional from a three-body pseudo-potential of second-order in gradients. Formalism for central terms
- Effects of density dependence of the effective pairing interaction on the first excitations and quadrupole moments of odd nuclei
- Microscopic Structure of a Vortex Line in a Superfluid Fermi Gas
- Quasi-particle continuum and resonances in the Hartree-Fock-Bogoliubov theory
- Hartree-Fock-Bogoliubov theory versus local-density approximation for superfluid trapped fermionic atoms
- Pairing renormalization and regularization within the local density approximation
- Spatial structure of a vortex in low density neutron matter
- Measures of complexity and entanglement in fermionic many-body systems
- Beyond-mean-field theories with zero-range effective interactions. A way to handle the ultraviolet divergence
- Halo phenomenon in finite many-fermion systems. Atom-positron complexes and large-scale study of atomic nuclei
- Effective density functionals beyond mean field
- Time-Dependent Density Functional Theory for Fermionic Superfluids: from Cold Atomic Gases, to Nuclei and Neutron Stars Crust
- Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using N2LO Skyrme pseudo-potential in spherical symmetry
- Testing Skyrme energy-density functionals with the QRPA in low-lying vibrational states of rare-earth nuclei
- Imbalanced Superfluid Phase of a Trapped Fermi Gas in the BCS-BEC Crossover Regime
- Large-Scale Self-Consistent Nuclear Mass Calculations
- Coordinate-Space Solver for Superfluid Many-Fermion Systems with Shifted Conjugate Orthogonal Conjugate Gradient Method
- Nuclear Pairing: Surface or Bulk ?
- Canonical-basis solution of the Hartree-Fock-Bogoliubov equation on three-dimensional Cartesian mesh
- Semiclassical Theory of Bardeen-Cooper-Schrieffer Pairing-Gap Fluctuations
- Dependence of two-proton radioactivity on nuclear pairing models
- Density Functional Theory: Methods and Problems
- Temperature dependence of a vortex in a superfluid Fermi gas
- Vortex Core Structure in Neutral Fermion Superfluids with Population Imbalance
- Effective Field Theory for Dilute Fermions with Pairing
- Validating Simple Dynamical Simulations of the Unitary Fermi Gas
- Disorder-Induced Phase Control in Superfluid Fermi-Bose Mixtures
- Gravitationally bound BCS state as dark matter
- Non-BCS superfluidity in trapped ultracold Fermi gases
- Second-order equation of state with the full Skyrme interaction: toward new effective interactions for beyond mean-field models
- Towards Quantum Turbulence in Cold Atomic Fermionic Superfluids
- Condensed dark matter with a Yukawa interaction
- Projection of Good Quantum Numbers for Reaction Fragments
- Equation of state and effective mass of the unitary Fermi gas in a 1D periodic potential
- Eft for DFT
- Josephson oscillations and self-trapping of superfluid fermions in a double-well potential
- Properties of exotic nuclei and their linkage to the nucleonic interaction
- Coordinate-space solver for finite-temperature Hartree-Fock-Bogoliubov calculation using the shifted Krylov method
- Structure of Xe through multi-reference energy density functional calculations
- A new statistical method for the structure of the inner crust of neutron stars
- The vortex state in the BEC to BCS crossover: a path-integral description
- Vortex line in a neutral finite-temperature superfluid Fermi gas
- Dissipation Mechanisms in Fermionic Josephson Junction
- Temperature and finite-size effects in collective modes of superfluid Fermi gases
- Comparison between the Thomas-Fermi and Hartree-Fock-Bogoliubov Methods in the Inner Crust of a Neutron Star: The Role of Pairing Correlations
- Systematic analysis of inner crust composition using the extended Thomas-Fermi approximation with pairing correlations
- Vortex arrays in a rotating superfluid Fermi gas
- Self-localization of a small number of Bose particles in a superfluid Fermi system
- Superfluid properties of the inner crust of neutron stars. II. Wigner-Seitz cells at finite temperature
- Normal-Superfluid Interface for Polarized Fermion Gases
- On the renormalization of contact interactions for the configuration-interaction method in two dimensions
- Superfluid LDA (SLDA): Local Density Approximation for Systems with Superfluid Correlations
- Universal Aspects of Vortex Reconnections across the BCS-BEC Crossover
- Pairing dynamics and solitonic excitations in collisions of medium-mass, identical nuclei
- Vortex formation in a rotating two-component Fermi gas
- Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
- Linear Response Theory with finite-range interactions
- Superfluid extension of the self-consistent time-dependent band theory for neutron star matter: Anti-entrainment versus superfluid effects in the slab phase
- Dimensional Crossover in a Spin-imbalanced Fermi gas
- Nuclear Energy Density Functionals: What do we really know?
- Separable approximation to two-body matrix elements
- Density-functional theory for the pairing Hamiltonian
- Effects of periodic potentials on the critical velocity of superfluid Fermi gases in the BCS-BEC crossover
- Dimensional regularization applied to nuclear matter with a zero--range interaction
- Generation and decay of Higgs mode in a strongly interacting Fermi gas
- Analytical limits for cold atom Bose gases with tunable interactions
- Properties of spherical and deformed nuclei using regularized pseudopotentials in nuclear DFT
- Variational Principle Directly on the Coherent Pair Condensate. I. the BCS Case
- Finite-range effects in dilute Fermi gases at unitarity
- Gapless superfluidity in neutron stars: Thermal properties
- Gapless superfluidity in neutron stars: Normal-fluid fraction
- Pairing in Nuclei
- Coupled pair approach for strongly-interacting trapped fermionic atoms
- Swelling of nuclei embedded in neutron-gas and consequences for fusion
- Coordinate-Space Hartree-Fock-Bogoliubov Description of Superfluid Fermi Systems
- Non-Markovian character and irreversibility of real-time quantum many-body dynamics
- Multiple period states of the superfluid Fermi gas in an optical lattice
- Aspects of Superfluid Cold Atomic Gases in Optical Lattices
- Superfluid Fraction and Leggett Bound in a Density Modulated Strongly Interacting Fermi Gas at Zero Temperature
- Stability of persistent currents in superfluid fermionic rings
- Renormalized relativistic Hartree-Bogoliubov equations with a zero-range pairing interaction
- Gapless neutron superfluidity in the crust of the accreting neutron stars KS 1731-260 and MXB 1659-29
- Pairing correlations of cold fermionic gases at overflow from a narrow to a wide harmonic trap
- How accurately can the Extended Thomas-Fermi method describe the inner crust of a neutron star?
- Natural orbits of atomic Cooper pairs in a nonuniform Fermi gas
- Open problems in nuclear density functional theory
- Multipole responses in fissioning nuclei and their uncertainties
- Signatures of Superfluidity in Dilute Fermi Gases near a Feshbach Resonance
- Nuclear Fission: from more phenomenology and adjusted parameters to more fundamental theory and increased predictive power
- Examining the justification for the introduction of a fermion localization function
- Quasi-particle properties of trapped Fermi gases
- Microscopic description of the twist mode in normal and superfluid trapped Fermi gases
- Time-Dependent Superfluid Local Density Approximation
- Unified theory of quantum crystals and optical lattices with Bose-Einstein condensate
- Microscopic Theory of Nuclear Fission
- Numerical Convergence of Electromagnetic Responses with the Finite-Amplitude Method
- Clustering of Fermi particles with arbitrary spin
- Finite-range separable pairing interaction in Cartesian coordinates
- Phase transitions in the inner crust of neutron stars within the superfluid band theory: Competition between pairing and spin polarization under finite temperature and magnetic field
- Finite-range pairing in nuclear density functional theory
- Impurity-controlled vortex mobility and pair-breaking in fermionic superfluid rings
- Local energy density functional for superfluid Fermi gases from effective field theory
- The LISE package: solvers for static and time-dependent superfluid local density approximation equations in three dimensions