Some aspects on four quarks recombination

TL;DR

This paper uses 3-D Monte Carlo simulations to analyze the energetic favorability of tetraquark versus meson configurations in a four-quark system, revealing insights into their correlations and potential behaviors.

Contribution

It introduces a detailed simulation approach to study four-quark recombination, highlighting the importance of tetraquark states and their properties.

Findings

Tetraquark formation can be energetically favorable depending on particle separation.

The four-body potential exhibits linear behavior with invariant distance.

Recombination probabilities are influenced by the dynamical flipping among configurations.

Abstract

We have performed a 3-D Monte Carlo simulation of a system composed of two identical light quarks ($qq$) and two identical antiquarks ($\bar Q\bar Q$) and determined whether it is energetically more favorable to form a tetraquark or two mesons, as a function of the interparticle separation distance which, for a fixed number of particles, can be identified as a particle density. In this proceedings, we highlight the main results and elaborate on the implications in properties like the correlation function for two-mesons and characterize the isolated diquark correlation function. We analize the four-body potential evolution and exhibit its linear behavior as a function of the invariant distance. We track the dynamical flipping among configurations to determine the recombination probability, exhibiting the importance of the tetraquark state.