All Dressed Up And Ready To Go: A Tale Of Two Quarks.

Abstract

The existence of unexpected states (states not predicted by the conventional quark model) in heavy Quarkonia, specifically Charmonium and Bottomonium like states, is of great interest to modern particle physics. States like X(3872), Yb(10890), Zb(10610), and Zb(10650) have proven difficult to reconcile with the conventional quark model. However, analysis of diquark constituent masses has pointed towards tetraquark configurations being responsible for many of these exotic states.

Thus far, the diquark correlations required for a tetraquark configuration of X(3872) have been primarily examined through the use of diquark correlation functions where the Schwinger string is introduced to extract gauge invariant information from said diquark correlator. Here, research is presented on the use of the dressed field formalism in the context of diquark correlation functions. Results for doubly light, light-heavy, and doubly heavy diquark systems have been obtained, and all results have shown this dressed field method to be an effective means of extracting gauge invariant results from diquark correlation functions.