Ground State Mass Predictions of Heavy-Light Hybrids from QCD Sum-Rule Analysis ($J^P=\left\{0^{\pm},\,1^{\pm}\right\}$)

TL;DR

This paper uses QCD sum-rule techniques to predict the ground state masses of heavy-light hybrid mesons with various quantum numbers, including effects of mixing with conventional mesons, providing insights into their mass hierarchy.

Contribution

It introduces a comprehensive QCD sum-rule analysis for heavy-light hybrid mesons, including up to dimension six gluon condensates and mixing effects, expanding previous theoretical predictions.

Findings

Mass hierarchy observed in charm and bottom systems

Predicted masses for all $J^P$ states considered

Possible mixing effects with conventional mesons identified

Abstract

We present QCD Laplace sum-rule predictions of ground state masses of heavy-light open-flavour hybrid mesons. Having computed leading-order diagonal correlation functions, including up to dimension six gluon condensate contributions, we extract hybrid mass predictions for all $J^P \in \{0^\pm, 1^\pm\}$, and explore possible mixing effects with conventional meson states. Similarities are found in the mass hierarchy in both charm and bottom systems with some exceptions that are discussed.