Deducing the string-breaking distance in strong production processes

TL;DR

This paper demonstrates how to determine the string-breaking distance from meson-production data using a specific production amplitude expression, revealing consistent radii across different quark environments without extra parameters.

Contribution

It introduces a method to extract string-breaking distances directly from experimental data, confirming theoretical radii predictions across various quark flavors.

Findings

Radii for non-strange, c-cbar, and b-bbar pairs are 0.67, 0.34, and 0.20 fm respectively.

The extracted radii agree with S-wave di-pion production data.

No additional free parameters are needed in the model.

Abstract

We show that the string-breaking distance can be read from meson-production data, by employing a previously derived expression for the production amplitude. Accordingly, we find that the radii of 0.67, 0.34 and 0.20 fm for the creation of non-strange q-qbar pairs obtained in the Resonance-Spectrum-Expansion model, for light-quark, c-cbar, and b-bbar environments, respectively, are in perfect agreement with S-wave di-pion production data, upon employing an ansatz with no additional free parameters.