Propagation and Dynamics of Oscillating Tetraquark Systems

TL;DR

This paper presents a theoretical model of tetraquark systems as non-relativistic four-body quantum systems with harmonic interactions, deriving an analytical propagator to study their dynamics and oscillation patterns.

Contribution

It introduces an analytical quantum propagator for tetraquark systems modeled as harmonic oscillators, enabling detailed analysis of their time evolution and oscillation behavior.

Findings

Derived an explicit quantum propagator for tetraquark systems.

Analyzed the wave function dynamics and oscillation patterns.

Provided insights into quark interactions and potential entanglement in tetraquarks.

Abstract

We have presented a theoretical investigation into the behavior of tetraquark states. These states are modeled as a non-relativistic four-body quantum system governed by harmonic interactions. Our goal is to capture the fundamental dynamics of quark-antiquark interactions in the tetraquark configuration. Within this framework, we have derived an analytical expression for the quantum propagator. This expression was then used to compute the time evolution of the wave function and the associated probability density. We examined the time evolution and oscillation patterns to gain a better understanding of the wave function and its probability of presence in space. This approach offers valuable insights into the dynamics of the tetraquark system. This model can serve as a basis for predicting complex structures such as entanglement and multipartite dependence of quarks.