Double strange hybrid baryon

Abstract

We investigate the spectroscopic properties of the double strange hybrid baryon with quark content $ssqg$ within the framework of QCD sum rule. Using an interpolating current with explicit gluonic degrees of freedom, the two-point correlation function is analyzed in terms of two independent Lorentz structures, $\slashed{q}$ and $I$. The operator product expansion is carried out by including vacuum condensates up to dimension ten, and the corresponding sum rules are derived for both structures. By taking the average of the results obtained from the two Lorentz structures, we extract the masses and pole residues of the ground and first excited states. For the ground state, we obtain a mass of $\tilde{M}=(1593.44\pm 130.29)\mathrm{MeV}$ and a residue of $\widetilde{\hat{I}»}=(2.57\pm 0.40)\times 10^{-3}{\mathrm{GeV}}^5$. For the first excited state, the corresponding values are $M=(1897.47\pm 124.44)\mathrm{MeV}$ and $\hat{I}»=(2.88\pm 0.62)\times 10^{-3}{\mathrm{GeV}}^5$. The obtained results provide theoretical predictions for the double strange hybrid baryon spectrum and may be useful for future experimental searches as well as further nonperturbative studies of hybrid hadrons.

9 pages, 4 Figures and 2 Tables