Analysis of the bottom-charm baryon states with QCD sum rules

TL;DR

This paper uses QCD sum rules to analyze the mass spectrum of bottom-charm baryons, distinguishing parity states and examining energy scale effects, providing predictions for future experimental comparison.

Contribution

It offers a comprehensive analysis of bottom-charm baryon states with a focus on parity separation and energy scale dependence within the QCD sum rules framework.

Findings

Identified acceptable energy scales for QCD sum rules between 2.0 and 2.8 GeV.

Predicted ground state masses of bottom-charm baryons.

Clarified the contributions of positive and negative parity states.

Abstract

In this work, we explore the ground state mass spectrum of the bottom-charm baryon states in the framework of the QCD sum rules in a comprehensive way. In calculations, we distinguish the contributions of the positive-parity and negative-parity baryon states unambiguously, and investigate the energy scale dependence of the QCD sum rules in details and observe that the acceptable energy scales are $\mu=2.0\sim 2.8\,\rm{GeV}$, while the best energy scale is $\mu=2.0\,\rm{GeV}$. The predictions can be confronted to the experimental data in the future and shed light on the QCD low energy dynamics.