Four Various String Baryon Models and Regge Trajectories

TL;DR

This paper compares four string baryon models with Regge trajectories, analyzing rotational motions and effective quark masses, and finds consistent asymptotic relations and similar quark mass estimates across models.

Contribution

It introduces and analyzes four different string baryon models, deriving their rotational states and Regge trajectories, and estimates effective quark masses within these models.

Findings

All models exhibit similar asymptotic J~E^2 relation.

Effective quark masses are consistent across models: m_ud~130 MeV, m_s~270 MeV.

String tensions vary but produce comparable Regge trajectories.

Abstract

Rotational motions for the quark-diquark (q-qq), linear (q-q-q) "three-string" (Y) and "triangle" string baryon models are considered and applied to description of baryonic orbitally exited states on the Regge trajectories. For the model "triangle" (three pointlike masses bounded pairwise by relativistic strings) the rotating closed string has a form of a curvilinear triangle composed of segments of a hypocycloid. The ultrarelativistic asymptotic relation between the energy $E=M$ and the total angular momentum $J$ has the same form $J\simeq\alpha'E^2+\alpha_1E^{1/2}$ for rotational states in all string baryon models. Taking into account some type of quark spin-orbit interaction one can describe the baryonic Regge trajectories by means of all mentioned string baryon configurations under assumption of different effective string tensions for them. Model depending estimations of effective quark masses in this procedure $m_{ud}\simeq 130$ MeV, $m_{s}\simeq 270$ MeV are close for all string configurations.