Work

Formulae for Enhanced Cross Sections Induced by Unusual Resonant Poles

Year: 2024

Type: article

Abstract: We extend the traditional effective range theory, which can explain the low-energy scattering phenomena by a real potential in neutron plus target systems, to describe the scattering by a complex potential. The extension is achieved based on an analytic Jost function, and we construct analytic formulae to describe enhanced cross sections in neutron scattering originating from unusual resonant states, such as an antiresonant state and an unstable bound state, appearing around zero momentum. The formulae are checked by comparing them with numerical calculations, and we find that the analytic formulae are quite valid in reproducing the cross sections for shape elastic scattering and compound nucleus formation in low-energy neutron scattering.

Source: Progress of Theoretical and Experimental Physics

DOI: 10.1093/ptep/ptae195

Authors: Maito Okada, Yukito Yamaguchi, Makoto Ito

Institutions: Osaka Metropolitan University, The University of Osaka, Kansai University

Language: English

Topic: Nuclear physics research studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $979

Funders: Kansai University, Hokkaido University