Analysis of the doubly heavy baryon states and pentaquark states with QCD sum rules

TL;DR

This paper uses QCD sum rules to analyze the masses and properties of doubly heavy baryon and pentaquark states, providing theoretical predictions that can be tested in future experiments.

Contribution

It introduces a consistent method to separate positive and negative parity states and extends operator product expansion to higher dimensions for these hadrons.

Findings

Predicted masses and pole residues of doubly heavy baryons.

Predicted masses and pole residues of pentaquark states.

Method for separating parity contributions in QCD sum rules.

Abstract

In this article, we study the doubly heavy baryon states and pentaquark states with the QCD sum rules by carrying out the operator product expansion up to the vacuum condensates of dimension $7$ and $13$ respectively in a consistent way. In calculations, we separate the contributions of the negative parity and positive parity hadron states unambiguously, and study the masses and pole residues of the doubly heavy baryon states and pentaquark states in details. The present predictions can be confronted to the experimental data in the future.