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 (4)

• 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

Cited by in corpus (15)

• A monopole-optimized effective interaction for tin isotopes
• Quasi-free Neutron Knockout Reaction Reveals a Small $s$-orbital Component in the Borromean Nucleus ${}^{17}$B
• Neutron skin and signature of the $N$ = 14 shell gap found from measured proton radii of ${}^{17-22}$N
• Mirror energy difference and the structure of loosely bound proton-rich nuclei around A = 20
• Proton distribution radii of ${}^{16-24}$O: signatures of new shell closures and neutron skin
• Isomerism in the "south-east" of ${}^{132}$Sn and a predicted neutron-decaying isomer in ${}^{129}$Pd
• First observation of 20B and 21B
• Unbound spectra of neutron-rich oxygen isotopes predicted by the Gamow shell model
• Observation of the near-threshold intruder $0^{-}$ resonance in ${}^{12}$Be
• Invariant-mass spectroscopy of ${}^{14}$O excited states
• Simultaneous measurement of beta-delayed proton and gamma emission of ${}^{26}$P for ${}^{25}$Al($p,\gamma$)${}^{26}$Si reaction rate
• Low-lying single-particle structure of 17C and the N = 14 sub-shell closure
• Extended R-matrix description of two-proton radioactivity
• Ab initio no-core shell model study of neutron-rich ${}^{18,19,20}$C isotopes
• Tensor force role in $\beta$ decays analyzed within the Gogny-interaction shell model