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    Electromagnetic properties of the N=50 isotones with the p35-i3 Hamiltonian

    J. A. Purcell and B. A. Brown

    Phys. Rev. C 114, 024312 – Published 6 August, 2026

    DOI: https://doi.org/10.1103/wsvx-3nln

    Abstract

    The nuclei with 50 neutrons that lie between Ni78 and Sn100 have provided benchmark studies of the nuclear shell model for protons in the {0f5/2,1p3/2,1p1/2,0g9/2} model space. New Hamiltonians for this model space have recently been obtained based on valence-space in-medium renormalization-group (VS-IMSRG) methods with two- and three-nucleon interactions. The two-body matrix elements obtained from these ab initio methods served as the starting point for singular value decomposition (SVD) method fits of the TBME to experimental binding energies and excitation energies, resulting in Hamiltonians called p35-i2, p35-i3, and p30-i3. In this paper, magnetic moments, quadrupole moments, B(M1) and B(E2) values obtained with these Hamiltonians are presented and compared with experiment. Results obtained from various Hamiltonians are compared to assess the theoretical uncertainties.

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