Isospin mixing in the vicinity of the N=Z line

Abstract

We present the isospin- and angular-momentum-projected nuclear density functional theory (DFT) and its applications to the isospin-breaking corrections to the superallowed beta-decay rates in the vicinity of the N=Z line. A preliminary value obtained for the Cabbibo-Kobayashi-Maskawa matrix element, |V_{ud}|=0.97463(24), agrees well with the recent estimate by Towner and Hardy [Phys. Rev. C{\bf 77}, 025501 (2008)]. We also discuss new opportunities to study the symmetry energy by using the isospin-projected DFT.

arXiv commentPresented at the 17th Nuclear Physics Conference "Maria & Pierre Curie" on "Symmetry and symmetry breaking in nuclear physics", Kazimierz Dolny, 22-25 September, 2010, Poland

References in corpus (18)

• An improved calculation of the isospin-symmetry-breaking corrections to superallowed Fermi beta decay
• Gamow-Teller strength and the spin-isospin coupling constants of the Skyrme energy functional
• Isospin-mixing corrections for fp-shell Fermi transitions
• Configuration Mixing within the Energy Density Functional Formalism: Removing Spurious Contributions from Non-Diagonal Energy Kernels
• Determination of |Vud| from nuclear mirror transitions
• Isospin corrections for superallowed Fermi beta decay in self-consistent relativistic random phase approximation approaches
• Precise Measurement of the Pi+ -> Pi0 e+ nu Branching Ratio
• 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
• Comparative tests of isospin-symmetry-breaking corrections to superallowed 0+-to-0+ nuclear beta decay
• Isospin-symmetry-breaking corrections to superallowed Fermi beta decay: Formalism and schematic models
• Isospin mixing in nuclei within the nuclear density functional theory
• Isospin-symmetry-breaking corrections to superallowed Fermi beta decay: Radial excitations
• Dependence of single-particle energies on coupling constants of the nuclear energy density functional
• Angular momentum projection of cranked Hartree-Fock states: Application to terminating bands in A~44 nuclei
• Isospin-symmetry restoration within the nuclear density functional theory: formalism and applications
• Spin-orbit term and spin-fields: extension of Skyrme-force induced local energy density approach
• Global nuclear structure aspects of tensor interaction
• Isospin mixing in nuclei around N=Z and the superallowed beta-decay

Cited by in corpus (9)

• 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
• Isospin-breaking corrections to superallowed Fermi beta-decay in isospin- and angular-momentum-projected nuclear Density Functional Theory
• Symmetry energy in nuclear density functional theory
• First applications of Fayans functional to deformed nuclei
• Lipkin method of particle-number restoration to higher orders
• Isospin effects in N~Z nuclei in extended Density Functional Theory
• Regularization of Multi-Reference Energy Density Functional Calculations
• Microscopic calculations of isospin mixing in N~Z nuclei and isospin-symmetry-breaking corrections to the superallowed beta-decay
• Vud from Nuclear Decays