Electromagnetic Properties of the N=50 Isotones with the p35-i3 Hamiltonian

Abstract

The nuclei with 50 neutrons that lie between ${}^{78}$Ni and ${}^{100}$Sn have provided benchmark studies of the nuclear shell model for protons in the $\{0f_{5/2},1p_{3/2},1p_{1/2},0g_{9/2}\}$ 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 (TBME) 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 to experiment. Results obtained from various Hamiltonians are compared to assess the theoretical uncertainties.

12 pages, 17 figures, 4 tables, submitted to Phys. Rev. C

References in corpus (6)

• Improved nuclear matter calculations from chiral low-momentum interactions
• Systematics of intermediate-energy single-nucleon removal cross sections
• Factorized Approximation to the IMSRG(3)
• Overview of Seniority Isomers
• Ab initio calculations of anomalous seniority breaking in the $\pi g_{9/2}$ shell for the $N=50$ isotones
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