Large-scale shell-model calculations on the spectroscopy of $N<126$ Pb isotopes

Abstract

Large-scale shell-model calculations are carried out in the model space including neutron-hole orbitals $2p_{1/2}$, $1f_{5/2}$, $2p_{3/2}$, $0i_{13/2}$, $1f_{7/2}$ and $0h_{9/2}$ to study the structure and electromagnetic properties of neutron deficient Pb isotopes. An optimized effective interaction is used. Good agreement between full shell-model calculations and experimental data is obtained for the spherical states in isotopes ${}^{194-206}$Pb. The lighter isotopes are calculated with an importance-truncation approach constructed based on the monopole Hamiltonian. The full shell-model results also agree well with our generalized seniority and nucleon-pair-approximation truncation calculations. The deviations between theory and experiment concerning the excitation energies and electromagnetic properties of low-lying $0^{+}$ and $2^{+}$ excited states and isomeric states may provide a constraint on our understanding of nuclear deformation and intruder configuration in this region.

arXiv comment11 pages, to appear in PRC, supplementary materials available upon request

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Cited by in corpus (10)

• Recent progress in configuration-interaction shell model
• Generalized-Seniority Pattern and Thermal Properties in Even Sn Isotopes
• Generalized Seniority on Deformed Single-Particle Basis
• Nucleon-pair coupling scheme in Elliott's SU(3) model
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• Application of the variational principle to a coherent-pair condensate: The HFB case
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• Nuclear structure properties of ${}^{193-200}$Hg isotopes within large-scale shell model calculations
• Partial conservation of seniority in semi-magic nuclei
• Matrix-product state approach to the generalized nuclear pairing Hamiltonian