Masses of constituent quarks confined in open bottom hadrons

TL;DR

This paper determines constituent quark masses, especially the bottom quark, by fitting hyperfine interaction models to light and open bottom hadron data, revealing environment-dependent mass and interaction strength variations.

Contribution

It introduces an improved fitting method to extract constituent quark masses using color-spin and flavor-spin hyperfine interactions, comparing their effectiveness.

Findings

Color-spin hyperfine interaction provides better fits.

Quark masses and interaction strengths vary with hadron environment.

Method clarifies the role of hyperfine interactions in hadron mass structure.

Abstract

We apply color-spin and flavor-spin quark-quark interactions to the meson and baryon constituent quarks, and calculate constituent quark masses, as well as the coupling constants of these interactions. The main goal of this paper was to determine constituent quark masses from light and open bottom hadron masses, using the fitting method we have developed and clustering of hadron groups. We use color-spin Fermi-Breit (FB) and flavor-spin Glozman-Riska (GR) hyperfine interaction (HFI) to determine constituent quark masses (especially $b$ quark mass). Another aim was to discern between the FB and GR HFI because our previous findings had indicated that both interactions were satisfactory. Our improved fitting procedure of constituent quark masses showed that on average color-spin (Fermi-Breit) hyperfine interaction yields better fits. The method also shows the way how the constituent quark masses and the strength of the interaction constants appear in different hadron environments.