Heavy-Light Quark Systems in the Instanton Vacuum

TL;DR

This paper investigates heavy-light quark systems within the instanton vacuum framework, deriving correlators and analyzing their implications for the interactions in heavy quark systems like oniums and baryons.

Contribution

It introduces a method to compute heavy and light quark correlators considering instanton effects, providing new insights into heavy quark interactions.

Findings

Calculated heavy quark propagators and correlators in the instanton vacuum.

Quantified light quark contributions to heavy quark interactions.

Potential implications for properties of heavy quark bound states.

Abstract

Assuming the gluon field is well approximated by instanton configurations we derive a partition function and calculate the specific correlators. Namely, the heavy quark propagator and heavy quark-aniquark correlator with the account of the light quark determinant and QCD instanton vacuum properties. With these knowledge we calculate the light quark contribution to the interaction between heavy quarks, which might be essential for the properties of a few heavy quarks systems like oniums and double-heavy baryons.