Resonance signals in pion-nucleon scattering from speed plots and time delay

TL;DR

This paper compares various resonance detection methods in pion-nucleon scattering, finding that the time delay method of Eisenbud and Wigner provides the most consistent results, confirming recent theoretical conclusions.

Contribution

The study systematically evaluates multiple resonance identification techniques, highlighting the superior consistency of the Eisenbud-Wigner time delay method.

Findings

The time delay method yields the most consistent resonance signals.

Numerical results show agreement across different methods, validating their reliability.

Supports recent theoretical predictions about resonance detection.

Abstract

We compare a number of methods used to locate resonances. These include the speed plot, the time-delay method of Eisenbud and Wigner, the time-delay matrix of Smith, and a modification by Ohmura. Numerical results show a consistency not previously reported. One time delay method gives the most consistent results, supporting the conclusions of a recent theoretical study.