Correlation function in Field - Feynman hadronization model

TL;DR

This paper analyzes the correlation function in the Field-Feynman hadronization model, revealing interesting properties and kinematic regions where correlations are unexpectedly large, which can aid experimental verification and parameter refinement.

Contribution

It demonstrates new properties of the correlation function in the model, highlighting regions with large positive correlations for certain meson pairs.

Findings

Correlation function shows large positive values in specific kinematic regions.

Certain meson pairs exhibit unexpected correlation behaviors.

Analysis can guide experimental tests and parameter estimation.

Abstract

Very successful hadronization model for the production of mesons in the jets of initial quarks was proposed thirty years ago by Field and Feynman. The model is used so far in the design of experiments and for comparison with the experimental data. In this work it is shown that correlation function in that model, as a function of the energies of two final hadrons has interesting properties (energies are taken in fractions of initial quark energy, and equal $z_{1}$ and $z_{2}$, respectively). In particular, for some pairs of mesons there are kinematic regions over variable $z_{2}$ (at fixed values of $z_{1}$), where it is positive and unexpectedly large. The experimental investigation of the correlation functions in these kinematic regions has twofold interest, from one side it can help to investigate some delicate properties of quark jets and from the other side can help to verify the physical suppositions of model, and to obtain more precise values of parameters.