Shell-model study of boron, carbon, nitrogen and oxygen isotopes based on monopole-based-universal interaction

Abstract

We study boron, carbon, nitrogen and oxygen isotopes with a newly constructed shell-model Hamiltonian developed from monopole-based-universal interaction ($V_{MU}$). The present Hamiltonian can reproduce well the ground-state energies, energy levels, electric quadrupole properties and spin properties of these nuclei in full psd model space including $(0-3)\hslash \omega$ excitations. Especially, it correctly describes the drip lines of carbon and oxygen isotopes and the spins of the ground states of ${}^{10}$B and ${}^{18}$N while some former interactions such as WBP and WBT fail. We point out that the inclusion of $2\hslash \omega$ excitations is important in reproducing some of these properties. In the present $(0+2)\hslash \omega$ calculations small but constant E2 effective charges appear to work quite well. As the inclusion of the $2\hslash \omega$ model space makes rather minor change, this seems to be related to the smallness of ${}^4$He core. Similarly, the spin g factors are very close to free values. The applicability of tensor and spin-orbit forces in free space, which are taken in the present Hamiltonian, is examined in shell model calculations.

References in corpus (10)

• The Shell Model as Unified View of Nuclear Structure
• Novel features of nuclear forces and shell evolution in exotic nuclei
• Model-independent low momentum nucleon interaction from phase shift equivalence
• Three-body forces and the limit of oxygen isotopes
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Coupled-cluster theory for three-body Hamiltonians
• Low-momentum interactions with smooth cutoffs
• Lifetime measurements of first excited states in 16,18C
• Effective interactions and the nuclear shell-model
• Renormalization persistency of tensor force in nuclei

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