# Low-lying dipole strengths for probable $p$-wave one-neutron halos in the medium mass region

## TL;DR

This paper investigates low-lying dipole strengths in medium-mass p-wave one-neutron halo candidates 31Ne, 34Na, and 37Mg, using an analytic model corrected by a Woods-Saxon potential and comparing results with Coulomb dissociation theory.

## Contribution

It introduces a simple analytic model for calculating dipole strengths in medium-mass p-wave one-neutron halos, validated against more complex theoretical methods.

## Key findings

- Analytic model estimates dipole strengths effectively.
- Comparison with Coulomb dissociation theory shows good agreement.
- Estimated neutron separation energies for the candidates.

## Abstract

The one-neutron halos lying in the island of inversion around $N=20$ has provided the podium, to study the variation of total low-lying dipole strength with the neutron separation energy. We study three probable p-wave one-neutron halo candidates 31Ne and 34Na and 37Mg lying in the island of inversion. A simple analytic model has been used for the calculation of the total low-lying dipole strength for the medium mass p-wave one-neutron halos. A correction factor to this analytical model has been estimated with a realistic Woods-Saxon potential. A comparison of these analytic calculations has been made with the those performed by a finite-range distorted-wave Born approximation theory of the Coulomb dissociation. We also make an estimate of the one-neutron separation energies of 31Ne, 34Na and 37Mg.