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

J. A. Purcell, B. A. Brown

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.

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

Abstract

The nuclei with 50 neutrons that lie between Ni and Sn have provided benchmark studies of the nuclear shell model for protons in the 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, and values obtained with these Hamiltonians are presented and compared to experiment. Results obtained from various Hamiltonians are compared to assess the theoretical uncertainties.
Paper Structure (10 sections, 7 equations, 17 figures, 4 tables)

This paper contains 10 sections, 7 equations, 17 figures, 4 tables.

Table of Contents

  1. Introduction
  2. Electromagnetic observables
  3. Uncertainties related to the choice of Hamiltonian
  4. Comparison between theory and experiment
  5. Magnetic Moments
  6. Quadrupole Moments
  7. Electromagnetic Transitions
  8. Configuration with $j^n$
  9. Conclusion
  10. Acknowledgments

Figures (17)

  • Figure 1: Comparison of moments obtained with the p30-i3 and p35-i3 Hamiltonians.
  • Figure 2: Comparison of $B(M1)$ and $B(E2)$ values obtained with the p30-i3 and p35-i3 Hamiltonians.
  • Figure 3: Comparison of moments obtained with the p35-i2 and p35-i3 Hamiltonians.
  • Figure 4: Comparison of $B(M1)$ and $B(E2)$ values obtained with the p35-i2 and p35-i3 Hamiltonians.
  • Figure 5: Comparison of moments obtained with the jj44a and p35-i3 Hamiltonians.
  • ...and 12 more figures