SU(3) mass-splittings of heavy-baryons in QCD

TL;DR

This paper uses QCD spectral sum rules to directly calculate SU(3) mass splittings in heavy baryons, providing new estimates for the condensate ratio and baryon masses that align with some experimental data.

Contribution

It introduces a novel method using double ratios of QCD spectral sum rules to determine SU(3) breaking effects in heavy baryons, reducing sensitivity to certain uncertainties.

Findings

Estimated the condensate ratio kappa=0.74(3)

Predicted Omega_b mass as 6078.5(27.4) MeV

Provided spectra and hyperfine splittings for heavy baryons

Abstract

We extract directly (for the first time) the charmed (C=1) and bottom (B=-1) heavy-baryons (spin 1/2 and 3/2) mass-splittings due to SU(3) breaking using double ratios of QCD spectral sum rules (QSSR) in full QCD, which are less sensitive to the exact value and definition of the heavy quark mass, to the perturbative radiative corrections and to the QCD continuum contributions than the simple ratios commonly used for determining the heavy baryon masses. Noticing that most of the mass-splittings are mainly controlled by the ratio kappa= <\bar ss>/<\bar dd> of the condensate, we extract this ratio, by allowing 1 sigma deviation from the observed masses of the Xi_{c,b} and of the Omega_c. We obtain: kappa=0.74(3), which improves the existing estimates: \kappa=0.70(10) from light hadrons. Using this value, we deduce M_{Omega_b}=6078.5(27.4) MeV which agrees with the recent CDF data but disagrees by 2.4 sigma with the one from D0. Predictions of the Xi'_Q and of the spectra of spin 3/2 baryons containing one or two strange quark are given in Table 2. Predictions of the hyperfine splittings Omega*_Q- Omega_Q and Xi*_Q-Xi_Q are also given in Table 3. Starting for a general choice of the interpolating currents for the spin 1/2 baryons, our analysis favours the optimal value of the mixing angle b= (-1/5 -- 0) found from light and non-strange heavy baryons.