Resonant states of deformed nuclei in complex scaling method

TL;DR

This paper introduces an extended complex scaling method to accurately describe bound and resonant states in deformed nuclei, demonstrated through calculations on $^{31}$Ne that reveal deformation effects and support the deformed halo hypothesis.

Contribution

The paper develops a unified formalism for bound and resonant states in deformed nuclei using complex scaling, validated with $^{31}$Ne data.

Findings

Bound and resonant levels agree with multichannel scattering results.

Resonance widths exhibit novel deformation-dependent evolution.

Supports the deformed halo structure in $^{31}$Ne.

Abstract

We develop a complex scaling method for describing the resonances of deformed nuclei and present a theoretical formalism for the bound and resonant states on the same footing. With $^{31}$Ne as an illustrated example, we have demonstrated the utility and applicability of the extended method and have calculated the energies and widths of low-lying neutron resonances in $^{31}$Ne. The bound and resonant levels in the deformed potential are in full agreement with those from the multichannel scattering approach. The width of the two lowest-lying resonant states shows a novel evolution with deformation and supports an explanation of the deformed halo for $^{31}$Ne.