English

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

Nuclear Theory 2015-03-17 v2 Nuclear Experiment

Abstract

The recently extracted matter radius of carbon isotope 22^{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^{21}C virtual state. Our analysis, in a renormalized zero-ranged three-body model, also indicates that the two-neutron separation energy in 22^{22}C is expected to be found below \sim0.4~MeV, where the 22^{22}C is approximated by a Borromean configuration with a pointlike 20^{20}C and two ss-wave halo neutrons. A virtual-state energy of 21^{21}C close to zero, would make the 22^{22}C, within Borromean nuclei configurations, the most promising candidate to present an excited bound Efimov state or a continuum three-body resonance.

Keywords

Cite

@article{arxiv.1101.0988,
  title  = {Constraints on two-neutron separation energy in the Borromean $^{22}$C nucleus},
  author = {M. T. Yamashita and R. S. Marques de Carvalho and T. Frederico and L. Tomio},
  journal= {arXiv preprint arXiv:1101.0988},
  year   = {2015}
}