Scaling with deformation in probable $p$-wave halo $^{34}$Na

TL;DR

This paper studies how deformation affects the electric dipole response of the probable $p$-wave halo nucleus $^{34}$Na, revealing a two-dimensional scaling of $B(E1)$ strength with separation energy and deformation.

Contribution

It introduces a semi-analytic method to analyze the dipole response of deformed halo nuclei and demonstrates the impact of deformation on dipole strength distribution.

Findings

Deformation shifts the peak positions of the dipole strength.

Total $B(E1)$ strength scales with separation energy and deformation.

Constraints on the one-neutron separation energy are derived.

Abstract

We investigate the electric dipole response of $^{34}$Na, a probable $p$-wave one-neutron halo nucleus, lying in the "island of inversion" and having a deformed structure. We use a semi-analytic approach to probe the dipole response and further compare the results obtained from a post form finite-range distorted wave Born approximation theory of Coulomb breakup. The effects of deformation are figured out on the peak positions of the electric dipole strength distribution which further constraint the one-neutron separation energy of the deformed projectile and it leads to a two-dimensional scaling of total $B(E1)$ strength with parameters: separation energy and deformation.