The extraction of parameters from final state interactions

TL;DR

This paper argues that final state enhancements in high-momentum transfer reactions are mainly influenced by the virtual bound state pole position in the Lambda p system, rather than scattering length or effective range, supported by dispersion relation analysis.

Contribution

It introduces a novel focus on the virtual bound state pole position as the key parameter in final state interactions, supported by dispersion relation studies.

Findings

Final state enhancements are sensitive to the virtual bound state pole position.

The pole position is independent of the cut-off energy in the dispersion relation.

The study clarifies the dominant factors influencing final state interactions.

Abstract

It is argued that final state enhancements in production reactions at large momentum transfers, such as pp -> K^+ Lambda p, are primarily sensitive to the position of a virtual bound state pole in the Lambda p system rather than the Lambda p scattering length and effective range. These arguments are supported by a study of the dispersion relation derived to describe such processes as a function of the cut-off energy. This shows that the position of the virtual bound state is independent of the cut-off energy.