Doubly heavy spin-$\frac {3}{2} $ baryons spectrum in the ground and excited states

TL;DR

This paper uses QCD sum rules to predict the masses and residues of doubly heavy spin-3/2 baryons in ground, orbital, and radial excited states, aiding experimental searches and theoretical understanding.

Contribution

It provides the first comprehensive mass and residue predictions for both ground and excited states of doubly heavy baryons using an advanced QCD sum rule approach.

Findings

Predicted masses for ground and excited states of doubly heavy baryons.

Calculated residues essential for decay property estimations.

Incorporated nonperturbative effects up to dimension ten.

Abstract

This study employs QCD sum rules to predict the masses and residues of spin-$\frac {3}{2} $ doubly heavy baryons including two heavy quarks (c and/or b) and one light quark, specifically focusing on $ \Xi_{cc}^*$, $ \Xi_{bc}^*$, $ \Xi_{bb}^*$, $ \Omega_{cc}^*$, $ \Omega_{bc}^*$ and $ \Omega_{bb}^*$. Our study provides results for the ground state ($1S$), first orbital excitation ($1P$), and the first radial excitation ($2S$), within a consistent theoretical framework. In addition to mass spectra, we provide residue calculations as well. The calculated residues are essential for estimating the decay widths and branching ratios of these baryons at different decay channels. Our analysis incorporates nonperturbative QCD effects through operators up to dimension ten, leading to improved precision in the mass and residue calculations. These predictions offer crucial guidance for ongoing and future experimental searches, particularly in light of the current lack of empirical data for the ground and excited states, and provide a basis for comparison with future experimental data.