No-core configuration-interaction model for the isospin-and angular-momentumprojected states Satuła, W.; Bączyk, P.; Dobaczewski, Jacek; Konieczka, M. Satuła, W., Bączyk, P., Dobaczewski, J., & Konieczka, M. (2016). No-core configuration -interaction model for the isospin-and angular-momentum-projected states. Physical Review C, 94 (2) We propose a new variant of the no-core-configuration-interaction (NCCI) model treating properly isospin and rotational symmetries. The model is applicable to any nucleus irrespective of its mass and neutronand proton-number parity. It properly includes polarization effects caused by an interplay between the long-and short-range forces acting in the atomic nucleus.
Methods:The method is based on solving the Hill-Wheeler-Griffin equation within a model space built of linearly dependent states having good angular momentum and properly treated isobaric spin. The states are generated by means of the isospin and angular-momentum projection applied to a set of low-lying (multi)particle-(multi)hole deformed Slater determinants calculated using the self-consistent Skyrme-Hartree-Fock approach.
Results:The theory is applied to calculate energy spectra in N ≈ Z nuclei that are relevant from the point of view of a study of superallowed Fermi β decays. In particular, a new set of the isospin-symmetry-breaking corrections to these decays is given. Conclusions: It is demonstrated that the NCCI model is capable of capturing main features of low-lying energy spectra in light and medium-mass nuclei using relatively small model space and without any local readjustment of its low-energy coupling constants. Its flexibility and a range of applicability makes it an interesting alternative to the conventional nuclear shell model.