Universal properties and structure of halo nuclei

Abstract

The universal properties and structure of halo nuclei composed of two neutrons (2n) and a core are investigated within an effective quantum mechanics framework. We construct an effective interaction potential that exploits the separation of scales in halo nuclei and treat the nucleus as an effective three-body system. The uncertainty from higher orders in the expansion is quantified through theoretical error bands. First, we investigate the possibility to observe excited Efimov states in 2n halo nuclei. Based on the experimental data, 20C is the only halo nucleus candidate to possibly have an Efimov excited state, with an energy less than 7 keV below the scattering threshold. Second, we study the structure of 20C and other 2n halo nuclei. In particular, we calculate their matter form factors, radii, and two-neutron opening angles.

23 pages, 9 eps figures, revtex4

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• Low-Energy Universality in Atomic and Nuclear Physics
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• Causality constraints for charged particles
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• Marrying {\it ab initio} calculations and Halo-EFT: the case of ${}^7\mathrm{Li}+n\to {}^8\mathrm{Li}+\gamma$
• Radiative Neutron Capture on Carbon-14 in Effective Field Theory
• Resonance Contribution to Radiative Neutron Capture on Lithium-7
• $S$-factor and scattering-parameter extractions from ${}^3\mathrm{He}+{}^4\mathrm{He}\to {}^7\mathrm{Be}+\gamma$
• Constraining Low-Energy Proton Capture on Beryllium-7 through Charge Radius Measurements
• Dissecting reaction calculations using Halo EFT and ab initio input
• Efimov physics from a renormalization group perspective
• Three-nucleon bound states and the Wigner-SU(4) limit
• Range corrections in Proton Halo Nuclei
• Models, measurements, and effective field theory: proton capture on Beryllium-7 at next-to-leading order
• Three-body forces and Efimov physics in nuclei and atoms
• Neutron${-}^{19}$C scattering: emergence of universal properties in a finite range potential
• Scaling of the ${}^{19}$B two-neutron halo properties close to unitarity
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• Tetramer Bound States in Heteronuclear Systems
• Charge and Matter Form Factors of Two-Neutron Halo Nuclei in Halo Effective Field Theory at Next-to-leading-order
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• Universal physics of the few-body system of two neutrons and one flavored meson
• Universal geometry of two-neutron halos and Borromean Efimov states close to dissociation
• Perspectives on few-body cluster structures in exotic nuclei
• A Vision for the Science of Rare Isotopes
• Finite-Size Effects in Heavy Halo Nuclei from Effective Field Theory
• Triple-X and beyond: hadronic systems of three and more X(3872)
• Final-state interactions and spin structure in $E1$ breakup of ${}^{1}1$Li in Halo EFT
• Matching effective few-nucleon theories to QCD
• Universality and Leading Corrections in Few-Body Systems
• Effective field theory analysis of boson-trimer bond lengths to next-to-leading order
• Electric Properties of One-Neutron Halo Nuclei in Halo EFT
• Effective field theory for weakly bound two-neutron halo nuclei: corrections from neutron-neutron effective range
• One- and two-neutron halos in effective field theory
• Universal Properties of Weakly Bound Two-Neutron Halo Nuclei
• Halo EFT calculation of charge form factor for two-neutron ${}^6\text{He}$ halo nucleus: two-body resonant P-wave interaction
• Scaling functions of two-neutron separation energies of ${}^{20}C$ with finite range potentials