Electric Properties of One-Neutron Halo Nuclei in Halo EFT

TL;DR

This paper develops a Halo EFT framework to compute electromagnetic properties of one-neutron halo nuclei, emphasizing the separation of core and halo scales and including various partial wave interactions.

Contribution

It introduces a systematic Halo EFT approach incorporating s- and d-wave interactions, regulated by power divergence subtraction, for calculating electromagnetic observables in halo nuclei.

Findings

Computed E2 transitions and form factors in Halo EFT.

Demonstrated the order-by-order contribution of local operators.

Validated the EFT expansion in the ratio of core to halo size.

Abstract

We exploit the separation of scales in weakly-bound nuclei to compute E2 transitions and electric form factors in a Halo EFT framework. The relevant degrees of freedom are the core and the halo neutron. The EFT expansion is carried out in powers of $R_{core}/R_{halo}$, where $R_{core}$ and $R_{halo}$ denote the length scales of the core and halo, respectively. We include the strong $s$-wave and $d$-wave interactions by introducing dimer fields. The dimer propagators are regulated by employing the power divergence subtraction scheme and matched to the effective range expansion in the respective channel.Electromagnetic interactions are included via minimal substitution in the Lagrangian. We demonstrate that, depending on the observable and respective partial wave, additional local gauge-invariant operators contribute in LO, NLO and higher orders.