Unstable Rotational States of Closed String with Massive Points

TL;DR

This paper investigates the stability of rotational states in closed string models with massive points, revealing that certain configurations are stable while others are unstable, impacting the modeling of exotic hadrons.

Contribution

It analyzes the stability of central and linear rotational states in closed string models with massive points, highlighting conditions for stability relevant to hadron modeling.

Findings

Linear rotational states with 2 massive points are stable.

Central rotational states with 3 masses are unstable if the central mass is small.

Unstable states may influence the properties of excited hadrons.

Abstract

For the closed string carrying 2 or 3 point-like masses the stability problem for central and linear rotational states is considered. This problem is important for applications of these model to describing baryons, glueballs or other exotic hadrons. The linear rotational state correspond to an uniform rotation of the system with rectilinear string segments, connecting massive points. The state is named ``central'' one, if there is a massive point at the rotational center. It is shown that the linear rotational states with 2 massive points are stable with respect to small disturbances. But the central rotational states with 3 masses are not stable, if the central mass it less than energy of the string with other massive points. This effect may change properties of excited hadron states, in particular, increase their width.