Charge and Matter Form Factors of Two-Neutron Halo Nuclei in Halo Effective Field Theory at Next-to-leading-order

Abstract

Using halo effective field theory (EFT), an expansion in $R_{core}/R_{halo}$, where $R_{core}$ is the radius of the core and $R_{halo}$ the radius of the halo nucleus, we calculate the charge and neutron form factors of the two-neutron halo nuclei ${}^{11}$Li, ${}^{14}$Be, and ${}^{22}$C to next-to-leading-order (NLO) by treating them as an effective three-body system. From the form factors we extract the point charge and point matter radii, inter-neutron distance, and neutron opening angle. Agreement is found with existing experimental extractions. Results are given for the point charge and point matter radii for arbitrary neutron core scattering effective range, ${\rho }_{cn}$, that can be used for predictions once ${\rho }_{cn}$ is measured. Estimates for ${\rho }_{cn}$ are also used to make NLO predictions. Finally, our point charge radii are compared to other halo-EFT predictions, and setting the core mass equal to the neutron mass our point charge radius is found to agree with an analytical prediction in the unitary limit.

arXiv comment31 pages, 9 figures

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Cited by in corpus (6)

• Nuclear effective field theory: status and perspectives
• Effective field theory description of halo nuclei
• Charge and Magnetic Properties of Three-Nucleon Systems in Pionless Effective Field Theory
• Final-state interactions and spin structure in $E1$ breakup of ${}^{1}1$Li in Halo EFT
• Effective field theory analysis of boson-trimer bond lengths to next-to-leading order
• Halo EFT calculation of charge form factor for two-neutron ${}^6\text{He}$ halo nucleus: two-body resonant P-wave interaction