Closed String with Masses in Models of Baryons and Glueballs

TL;DR

This paper models baryons and glueballs as closed strings with point masses, deriving their rotational states, analyzing their stability, and revealing different Regge trajectories based on the string configurations.

Contribution

It introduces a novel model of baryons and glueballs using closed strings with masses, providing exact rotational solutions and stability analysis.

Findings

Rotational states correspond to exact solutions of the string-mass system.

Central rotational states are unstable below a critical mass.

Different Regge trajectories are obtained for various configurations.

Abstract

The closed string carrying $n$ point-like masses is considered as the model of a baryon ($n=3$), a glueball ($n=2$ or 3) or another exotic hadron. For this system the rotational states are obtained and classified. They correspond to exact solutions of dynamical equations, describing an uniform rotation of the string with massive points. These rotational states result in a set of quasilinear Regge trajectories with different behavior. The stability problem for the so called central rotational states (with a mass at the rotational center) is solved with using the analysis of small disturbances. These states turned out to be unstable, if the central mass is less than some critical value.