Constraints on two-neutron separation energy in the Borromean ${}^{22}$C nucleus

Abstract

The recently extracted matter radius of carbon isotope ${}^{22}$C allows us to estimate the mean-square distance of a halo neutron with respect to the center-of-mass of this nucleus. By considering this information, we suggest an energy region for an experimental investigation of the unbound ${}^{21}$C virtual state. Our analysis, in a renormalized zero-ranged three-body model, also indicates that the two-neutron separation energy in ${}^{22}$C is expected to be found below $\sim$0.4~MeV, where the ${}^{22}$C is approximated by a Borromean configuration with a pointlike ${}^{20}$C and two $s$-wave halo neutrons. A virtual-state energy of ${}^{21}$C close to zero, would make the ${}^{22}$C, within Borromean nuclei configurations, the most promising candidate to present an excited bound Efimov state or a continuum three-body resonance.

References in corpus (4)

• ${}^{22}$C: $S$-Wave Two-Neutron Halo
• Efimov states and their Fano resonances in a neutron-rich nucleus
• Range corrections for two-neutron halo nuclei in effective theory
• Comment on "Efimov States and their Fano Resonances in a Neutron-Rich Nucleus"

Cited by in corpus (20)

• Efimov Physics: a review
• Evolution of shell structure in exotic nuclei
• Effective field theory description of halo nuclei
• Implications of a matter-radius measurement for the structure of Carbon-22
• Study of ground state properties of carbon isotopes with deformed relativistic Hartree-Bogoliubov theory in continuum
• Search for ${}^{21}$C and constraints on ${}^{22}$C
• Carbon-19 in Halo EFT: Effective-range parameters from Coulomb-dissociation experiments
• Examination of the ${}^{22}$C radius determination with interaction cross sections
• Modeling ${}^{19}$B as a ${}^{17}$B-n-n three-body system in the unitary limit
• Intermediate energy four-body breakup calculations for 22C
• Mean-field analysis of ground state and low-lying electric dipole strength in ${}^{22}$C
• Coulomb breakup of 22C in a four-body model
• Core momentum distribution in two-neutron halo nuclei
• Scaling of the ${}^{19}$B two-neutron halo properties close to unitarity
• Two-neutron correlations in a Borromean ${}^{20}\mathrm{C}+n+n$ system: Sensitivity of unbound subsystems
• Universal geometry of two-neutron halos and Borromean Efimov states close to dissociation
• Properties of Lithium-11 and Carbon-22 at leading order in halo effective field theory
• Deformation, halo, and bubble structure: A paradigm shift of exotic phenomena in light to medium mass nuclei
• One- and two-neutron halos in effective field theory
• Scaling limit analysis of Borromean halos