Implications of a matter-radius measurement for the structure of Carbon-22

Abstract

We study Borromean 2n-halo nuclei using effective field theory. We compute the universal scaling function that relates the mean-square matter radius of the 2n halo to dimensionless ratios of two- and three-body energies. We use the experimental value of the rms matter radius of 22C measured by Tanaka et al. to put constraints on its 2n separation energy and the 20C-n virtual energy. We also explore the consequences of these constraints for the existence of excited Efimov states in this nucleus. We find that, for 22C to have an rms matter radius within 1-sigma of the experimental value, the two-neutron separation energy of 22C needs to be below 100 keV. Consequently, this three-body halo system can have an excited Efimov state only if the 20C-n system has a resonance within 1 keV of the scattering threshold.

6 pages, 4 figures

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• Study of ground state properties of carbon isotopes with deformed relativistic Hartree-Bogoliubov theory in continuum
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• Three-Body Hypernuclei in Pionless Effective Field Theory
• Ab initio Gamow in-medium similarity renormalization group with resonance and continuum
• Examination of the ${}^{22}$C radius determination with interaction cross sections
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• Marrying {\it ab initio} calculations and Halo-EFT: the case of ${}^7\mathrm{Li}+n\to {}^8\mathrm{Li}+\gamma$
• Scale Invariance in Heavy Hadron Molecules
• Constraining Low-Energy Proton Capture on Beryllium-7 through Charge Radius Measurements
• Modeling ${}^{19}$B as a ${}^{17}$B-n-n three-body system in the unitary limit
• Range corrections in Proton Halo Nuclei
• Three-body forces and Efimov physics in nuclei and atoms
• Core momentum distribution in two-neutron halo nuclei
• Scaling of the ${}^{19}$B two-neutron halo properties close to unitarity
• Weakly bound Li He${}_2$ molecules
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• Three-body systems in physics of cold atoms and halo nuclei
• Charge and Matter Form Factors of Two-Neutron Halo Nuclei in Halo Effective Field Theory at Next-to-leading-order
• Universal geometry of two-neutron halos and Borromean Efimov states close to dissociation
• Investigation of ${}^{23}$N in a three-body model
• Properties of Lithium-11 and Carbon-22 at leading order in halo effective field theory
• Triple-X and beyond: hadronic systems of three and more X(3872)
• Effective field theory analysis of boson-trimer bond lengths to next-to-leading order
• 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
• Universal Properties of Weakly Bound Two-Neutron Halo Nuclei
• Three-body halo states in effective field theory
• Effective field theory for weakly bound two-neutron halo nuclei: corrections from neutron-neutron effective range