Isospin mixing and the continuum coupling in weakly bound nuclei

Abstract

The isospin breaking effects due to the Coulomb interaction in weakly-bound nuclei are studied using the Gamow Shell Model, a complex-energy configuration interaction approach which simultaneously takes into account many-body correlations between valence nucleons and continuum effects. We investigate the near-threshold behavior of one-nucleon spectroscopic factors and the structure of wave functions along an isomultiplet. Illustrative calculations are carried out for the T=1 isobaric triplet. By using a shell-model Hamiltonian consisting of an isoscalar nuclear interaction and the Coulomb term, we demonstrate that for weakly bound or unbound systems the structure of isobaric analog states varies within the isotriplet and impacts the energy dependence of spectroscopic factors. We discuss the partial dynamical isospin symmetry present in isospin-stretched systems, in spite of the Coulomb interaction that gives rise to large mirror symmetry breaking effects.

10 pages, 5 figures ; published version

References in corpus (11)

• Shell Model in the Complex Energy Plane
• Charge Symmetry Breaking and QCD
• Threshold Effects in Multi-channel Coupling and Spectroscopic Factors in Exotic Nuclei
• Partial Dynamical Symmetries
• Isospin-symmetry-breaking corrections to superallowed Fermi beta decay: Formalism and schematic models
• Isospin mixing in nuclei within the nuclear density functional theory
• Density matrix renormalization group approach to two-fluid open many-fermion systems
• Continuum Coupling and Single-Nucleon Overlap Integrals
• Neutron-proton mass difference in finite nuclei and the Nolen-Schiffer anomaly
• Probabilistic Interpretation of Resonant States
• Complex energy approaches for calculating isobaric analogue states

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