Modification of tensor force in \textit{p}-shell effective interaction

Abstract

In many shell model interactions, the tensor force monopole matrix elements often retain systematic trends originating in the bare tensor force. However, in the present work, we find that Isospin T = 0 tensor force monopole matrix elements of \textit{p}-shell effective interaction CK(8-16) do not share these systematic. We correct these discrepancies by modifying T = 0 tensor force two-body matrix elements (TBMEs) of CK(8-16) by the analytically calculated tensor force TBMEs. With some additional modification of single-particle energies and TBMEs, the revised effective interaction is named as CKN. The effective interaction CKN has been tested for the calculations of \textit{p}-shell nuclei of normal parity states from various physics viewpoints such as excitation spectra, electromagnetic moments, and electromagnetic and \textit{G}amow-\textit{T}eller (\textit{GT}) transitions. The obtained results are found to be satisfactory.

arXiv comment21 pages, 10 figures, 6 tables

References in corpus (17)

• The Shell Model as Unified View of Nuclear Structure
• Nuclear magic numbers: new features far from stability
• Magic numbers in exotic nuclei and spin-isospin properties of {\it NN} interaction
• Novel features of nuclear forces and shell evolution in exotic nuclei
• Evolution of shell structure in exotic nuclei
• The realistic collective nuclear Hamiltonian
• Ab initio shell model with a genuine three-nucleon force for the p-shell nuclei
• Shell-model study of boron, carbon, nitrogen and oxygen isotopes based on monopole-based-universal interaction
• P-shell nuclei using Similarity Renormalization Group evolved three-nucleon interactions
• Ab-initio shell model with a core
• Shell-model description of monopole shift in neutron-rich Cu
• Effective interactions and the nuclear shell-model
• Coulomb displacement energy and the low-energy astrophysical S factor for the Be7(p,gamma)B8 reaction
• The impact of the off-diagonal cross-shell interaction on ${}^{14}$C
• Two-Frequency Shell-Model Calculations for p-Shell Nuclei
• Shell model results for nuclear ${\beta }^{-}$-decay properties of $sd$ shell nuclei
• A way forward towards improvement of tensor force in \textit{pf}-shell