# Isospin nonconservation in sd-shell nuclei

1 THEORIE - Physique théorique
CENBG - Centre d'Etudes Nucléaires de Bordeaux Gradignan
Abstract : The question of isospin-symmetry breaking in nuclei of the $sd$ shell is addressed. We propose a new global parameterization of the isospin-nonconserving (INC) shell-model Hamiltonian which accurately describes experimentally known isobaric mass splittings. The isospin-symmetry violating part of the Hamiltonian consists of the Coulomb interaction and effective charge-dependent forces of nuclear origin. Particular attention has been paid to the effect of the short-range correlations. The behavior of $b$ and $c$ coefficients of the isobaric-mass-multiplet equation (IMME) is explored in detail. In particular, a high-precision numerical description of the staggering effect is proposed and contribution of the charge-dependent forces to the nuclear pairing is discussed. The Hamiltonian is applied to the study of the IMME beyond a quadratic form in the A=32 quintet, as well as to calculation of nuclear structure corrections to superallowed $0^+ \to 0^+$ Fermi $\beta$ decay, and to amplitudes of Fermi transitions to non-analogue states in sd-shell nuclei.
Document type :
Journal articles

http://hal.in2p3.fr/in2p3-00835869
Contributor : Nathalie Martin Connect in order to contact the contributor
Submitted on : Thursday, June 20, 2013 - 8:06:26 AM
Last modification on : Tuesday, November 30, 2021 - 8:32:04 AM

### Citation

Y. H. Lam, N.A. Smirnova, E. Caurier. Isospin nonconservation in sd-shell nuclei. Physical Review C, American Physical Society, 2013, 87, pp.054304. ⟨10.1103/PhysRevC.87.054304⟩. ⟨in2p3-00835869⟩

### Metrics

Les métriques sont temporairement indisponibles