Isospin-symmetry restoration within the nuclear density functional theory: formalism and applications

Abstract

Isospin symmetry of atomic nuclei is explicitly broken by the charge-dependent interactions, primarily the Coulomb force. Within the nuclear density functional theory, isospin is also broken spontaneously. We propose a projection scheme rooted in a mean field theory, that allows the consistent treatment of isospin breaking in both ground and exited nuclear states. We demonstrate that this scheme is essentially free from spurious divergences plaguing particle-number and angular-momentum restoration approaches. Applications of the new technique include excited high-spin states in medium-mass N=Z nuclei, such as superdeformed bands and many-particle-many-hole terminating states.

13 pages, 7 figures, submitted to Phys. Rev. C

References in corpus (22)

• Superallowed 0+ to 0+ nuclear beta decays: A new survey with precision tests of the conserved vector current hypothesis and the standard model
• An improved calculation of the isospin-symmetry-breaking corrections to superallowed Fermi beta decay
• Particle-Number Projection and the Density Functional Theory
• Tensor part of the Skyrme energy density functional. II: Deformation properties of magic and semi-magic nuclei
• Spin-orbit and tensor mean-field effects on spin-orbit splitting including self-consistent core polarizations
• Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (VI) HFODD (v2.38j): a new version of the program
• Intrinsic-Density Functionals
• Variation after Particle-Number Projection for the HFB Method with the Skyrme Energy Density Functional
• Isospin-symmetry-breaking corrections to superallowed Fermi beta decay: Formalism and schematic models
• Isospin mixing in nuclei within the nuclear density functional theory
• Dependence of single-particle energies on coupling constants of the nuclear energy density functional
• Error analysis of nuclear mass fits
• Density functional theory and Kohn-Sham scheme for self-bound systems
• Angular momentum projection of cranked Hartree-Fock states: Application to terminating bands in A~44 nuclei
• Self-consistent symmetries in the proton-neutron Hartree-Fock-Bogoliubov approach
• Existence of a Density Functional for an Intrinsic State
• Angular-momentum projection of cranked symmetry-unrestricted Slater determinants
• Shell Model and Mean-Field Description of Band Termination
• Contradicting effective mass scalings within the Skyrme energy density functional method
• Symmetry breaking in the self-consistent Kohn-Sham equations
• Probing effective nucleon-nucleon interaction at band termination
• Isospin mixing of isospin-projected Slater determinants: formalism and preliminary applications

Cited by in corpus (26)

• Overview of Neutron-Proton Pairing
• Symmetry restoration in mean-field approaches
• Beyond Mean-Field Calculations for Odd-A Nuclei
• Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (VII) HFODD (v2.49t): a new version of the program
• Time-odd mean fields in covariant density functional theory: Rotating systems
• Microscopic calculations of isospin-breaking corrections to superallowed beta-decay
• Isospin-symmetry breaking in masses of $N\simeq Z$ nuclei
• Projection on particle number and angular momentum: Example of triaxial Bogoliubov quasiparticle states
• Isospin-breaking corrections to superallowed Fermi beta-decay in isospin- and angular-momentum-projected nuclear Density Functional Theory
• Skyrme functional from a three-body pseudo-potential of second-order in gradients. Formalism for central terms
• Skyrme pseudo-potential-based EDF parametrisation for spuriousity-free MR-EDF calculations
• No-core configuration-interaction model for the isospin- and angular-momentum-projected states
• Energy-density-functional calculations including the proton-neutron mixing
• Isospin-invariant Skyrme energy-density-functional approach with axial symmetry
• The nuclear energy density functional formalism
• Isospin effects in N~Z nuclei in extended Density Functional Theory
• Radial overlap correction to superallowed $0^{+}\to 0^{+}$ nuclear $\beta$ decays using the shell model with Hartree-Fock radial wave functions
• Isospin mixing and Coulomb mixing in ground states of even-even nuclei
• Isospin mixing in the vicinity of the N=Z line
• Isoscalar and isovector neutron-proton pairing
• Symmetry-projected variational calculations with the numerical suite TAURUS II. Configuration mixing of symmetry-projected reference states
• Symmetry restoration methods
• Precision calculation of isospin-symmetry-breaking corrections to T=1/2 mirror decays using multi-reference charge-dependent density functional theory
• Microscopic calculations of isospin mixing in N~Z nuclei and isospin-symmetry-breaking corrections to the superallowed beta-decay
• Description of isospin mixing by a generator coordinate method
• Controlled Gate Networks: Theory and Application to Eigenvalue Estimation