Halo EFT for $^{31}$Ne in a spherical formalism

TL;DR

This paper applies Halo Effective Field Theory in a spherical formalism to calculate electromagnetic properties of the neutron-rich nucleus $^{31}$Ne, focusing on its halo structure and continuum breakup, with uncertainty estimates.

Contribution

It introduces a spherical Halo EFT approach for $^{31}$Ne, including core deformation effects at next-to-leading order, and calculates form factors and breakup distributions.

Findings

Calculated electromagnetic form factors and E1-breakup strength distribution.

Estimated uncertainties based on power counting.

Included core deformation effects via excited state fields.

Abstract

We calculate the electromagnetic properties of the deformed one-neutron halo candidate $^{31}$Ne using Halo Effective Field Theory (Halo EFT). In this framework, $^{31}$Ne is bound via a resonant $P$-wave interaction between the $^{30}$Ne core and the valence neutron. We set up a spherical formalism for $^{31}$Ne in order to calculate the electromagnetic form factors and the E1-breakup strength distribution into the $^{30}$Ne-neutron continuum at leading order in Halo EFT. The associated uncertainties are estimated according to our power counting. In particular, we assume that the deformation of the $^{30}$Ne core enters at next-to-leading order. It can be accounted for by including the $J^P=2^+$ excited state of $^{30}$Ne as an explicit field in the effective Lagrangian.