Initial-Boundary Value Problem and Stability of Solutions for String Baryon Model "Triangle"

TL;DR

This paper formulates and solves the initial-boundary value problem for the 'triangle' string baryon model, demonstrating a numerical approach to analyze the stability of its rotational motions.

Contribution

It introduces a general solution method reducing the problem to ordinary differential equations and assesses the stability of the model's rotational states.

Findings

The initial-boundary value problem can be reduced to ODEs for numerical integration.

The stability of flat uniform rotations in the 'triangle' model is confirmed.

A numerical approach is established for analyzing string baryon models.

Abstract

For the string baryon model "triangle" the initial-boundary value problem is stated and solved in general. This problem implies defining a classical motion of the system on the base of given initial position and initial velocities of string points. The presented solution reduces the initial-boundary value problem for the considered model to the system of ordinary differential equations that can be integrated numerically in general. Using this approach we ascertain the stability of the rotational motions (flat uniform rotations) for the "triangle" string configuration.