Geometrical Models and Hadronic Radii

TL;DR

This paper uses the Generalized Chou Yang model to calculate the sizes of various hadrons, finding that radii tend to decrease with more strange quarks, and compares these results with experimental data and other models.

Contribution

It introduces a method to compute hadronic radii using electromagnetic form factors from GCYM and compares these with existing models and experimental data.

Findings

Computed hadronic radii are consistent with experimental data for pion and proton.

Radii decrease as strangeness content increases in hadrons.

Results suggest potential for further validation with upcoming experimental data.

Abstract

By using electromagnetic form factors predicted by Generalized Chou Yang model (GCYM), we compute root mean square (rms) radii of several hadrons with varying strangeness content (number of strange quarks/anti-quarks) such as (pion, proton, phi0, Lambda0, Sigma+, Sigma- and Omega-) The computed radii are found quite consistent with the experimental results and those from other models (for pion and proton). For hadrons other than pion and proton, the experimental results are not available and also the GCYM and other models results are not consistent with each other. The computed rms radii (from GCYM and other models) indicate that rms radii decrease with increase in strangeness content, separately for mesons and baryons. The experimental results of hadrons other than pion and proton will throw more light on the suitability of GCYM and other models.