Isospin mixing of isospin-projected Slater determinants: formalism and preliminary applications

Abstract

We report on the development of a new theoretical tool that allows for isospin projection of Slater determinants and we present its first applications. In particular, we determine the isospin mixing in ground states of N=Z nuclei and discuss its dependence on the size of the harmonic-oscillator basis used in the calculations. We also discuss the unphysical contribution to the isospin mixing caused by the spurious isospin-symmetry breaking inherent to the mean-field approach. We show that these contributions may be as large as 30% of the value of the isospin-mixing parameter.

arXiv commentcontributed talk presented by M. Rafalski at the XV Nuclear Physics Workshop, Sept. 24-28, 2008, Kazimierz Dolny, Poland; Notation slightly changed and references added

References in corpus (8)

• Mean-field description of ground-state properties of drip-line nuclei: Pairing and continuum effects
• Nuclear time-reversal violation and the Schiff moment of 225Ra
• An improved calculation of the isospin-symmetry-breaking corrections to superallowed Fermi beta decay
• Local Density Approximation for proton-neutron pairing correlations. I. Formalism
• Solution of the Skyrme-Hartree-Fock equations in the Cartesian deformed harmonic oscillator basis. (I) The method
• Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (IV) HFODD (v2.07f): a new version of the program
• Angular momentum projection of cranked Hartree-Fock states: Application to terminating bands in A~44 nuclei
• Angular-momentum projection of cranked symmetry-unrestricted Slater determinants

Cited by in corpus (5)

• 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 mixing in nuclei within the nuclear density functional theory
• Isospin-symmetry restoration within the nuclear density functional theory: formalism and applications
• Radial overlap correction to superallowed $0^{+}\to 0^{+}$ nuclear $\beta$ decays using the shell model with Hartree-Fock radial wave functions
• Microscopic calculations of isospin mixing in N~Z nuclei and isospin-symmetry-breaking corrections to the superallowed beta-decay