Description of proton-rich nuclei in the $A\sim 20$ region with the Gamow shell model

Abstract

The Gamow shell model is utilized to describe nuclear observables of the weakly bound and resonance isotonic states of ${}^{16}$O at proton drip-line. It is hereby shown that the presence of continuum coupling leads to complex Coulomb contributions in the spectrum of these isotones. The necessity to include the effects of three-body forces, either by a direct calculation or by adding an $A$-dependence to the nucleon-nucleon interaction, already noticed in other theoretical models, is pointed out. It is also demonstrated that our approach is predictive for reaction observables.

12 pages, 10 figures

References in corpus (16)

• Chiral effective field theory and nuclear forces
• Shell Model in the Complex Energy Plane
• Coupled-cluster theory for three-body Hamiltonians
• Direct mass measurements of 19B, 22C, 29F, 31Ne, 34Na and other light exotic nuclei
• Density matrix renormalization group approach for many-body open quantum systems
• Three-body forces and proton-rich nuclei
• Quantified Gamow Shell Model interaction for $psd$-shell nuclei
• Ab initio Gamow in-medium similarity renormalization group with resonance and continuum
• Density matrix renormalization group approach to two-fluid open many-fermion systems
• First observation of 20B and 21B
• Precise Coulomb wave functions for a wide range of complex l, eta and z
• Single-particle and collective motion in unbound deformed ${}^{39}\text{Mg}$
• Gamow shell model description of ${}^4$He($d$,$d$) elastic scattering reactions
• Numerical treatment of long-range Coulomb potential with Berggren bases
• Observation of excited states in ${}^{20}$Mg sheds light on nuclear forces and shell evolution
• Search for excited states in ${}^{25}$O

Cited by in corpus (16)

• Trends of Neutron Skins and Radii of Mirror Nuclei from First Principles
• The roles of three-nucleon force and continuum coupling in mirror symmetry breaking of oxygen mass region
• Unbound spectra of neutron-rich oxygen isotopes predicted by the Gamow shell model
• Neutron-rich calcium isotopes within realistic Gamow shell model calculations with continuum coupling
• Proton decays in ${}^{16}$Ne and ${}^{18}$Mg and isospin-symmetry breaking in carbon isotopes and isotones
• Gamow Shell Model description of Li isotopes and their mirror partners
• Continuum and three-nucleon force in Borromean system: The 17Ne case
• Double-magicity of proton drip-line nucleus ${}^{22}$Si with \textit{ab initio} calculation
• Recent progress in configuration-interaction shell model
• Calculation of the Thomas-Ehrman shift in ${}^{16}$F and ${}^{15}$O(p,p) cross section with the Gamow shell model
• Spectroscopic factors of resonance states with the Gamow shell model
• Observation and spectroscopy of proton-unbound nucleus ${}^{21}$Al
• Gamow shell model calculations for the Thomas-Ehrman shift in new isotopes 21Al
• Gamow shell model predictions for six-proton unbound nucleus ${}^{20}$Si
• Exploring the possible two-proton radioactivity of ${}^{38,39}$Ti
• Gamow shell model study of the 17Ne(p, p) reaction and of isospin symmetry breaking in 18Na