On the experimental description of neutron resonances

TL;DR

This paper provides simple derivations of neutron resonance cross-sections to aid experimental analysis of neutron-rich and unbound nuclei, emphasizing the dependencies on basic observables for better experimental approach assessment.

Contribution

It offers accessible derivations of resonance cross-sections to improve understanding and experimental analysis of neutron-induced resonances in exotic nuclei.

Findings

Derivations clarify the dependence of resonance properties on observables.

Highlights the importance of experimental approach selection.

Facilitates better interpretation of resonance data.

Abstract

We present a collection of simple derivations for the neutron-induced resonance cross-sections. These formulae are commonly used to experimentally describe the fundamental properties of resonances for neutron-rich nuclei far from stability and to describe unbound nuclei. The main goal of this article is to illustrate their dependencies with basic observables in order to discuss the pertinence of experimental approaches in the derivation of their properties, especially for "N-body" resonances.