Mass-splittings of doubly heavy baryons in QCD

Abstract

We consider (for the first time) the ratios of doubly heavy baryon masses (spin 3/2 over spin 1/2 and SU(3) mass-splittings) using double ratios of sum rules (DRSR), which are more accurate than the usual simple ratios often used in the literature for getting the hadron masses. In general, our results agree and compete in precision with potential model predictions. In our approach, the alpha_s corrections induced by the anomalous dimensions of the correlators are the main sources of the Xi^*_{QQ}- Xi_{QQ} mass-splittings, which seem to indicate a 1/M_Q behaviour and can only allow the electromagnetic decay Xi^*_{QQ} to Xi_{QQ}+ gamma but not to Xi_{QQ}+ pi. Our results also show that the SU(3) mass-splittings are (almost) independent of the spin of the baryons and behave approximately like 1/M_Q, which could be understood from the QCD expressions of the corresponding two-point correlator. Our results can improved by including radiative corrections to the SU(3) breaking terms and can be tested, in the near future, at Tevatron and LHCb.

arXiv comment8 pages, 12 figures, 2 tables, improved version including radiative corrections, some additional references and a new summary table

References in corpus (33)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• First Observation of the Doubly Charmed Baryon Xi_cc^+
• Baryon spectroscopy
• Confirmation of the Double Charm Baryon Xi_cc+ via its Decay to p D+ K-
• Short-distance tachyonic gluon mass and 1/Q^2 corrections
• Heavy quarkonia mass-splittings in QCD: test of the $1/m$-expansion and estimates of $<{\alpha }_s{G}^2>$ and ${\alpha }_s$
• QCD tests from $e^+e^- \rar I=1~$ hadrons data and implication on the value of ${\alpha }_s$ from $\tau$-decays
• Hadrons with Charm and Beauty
• Light Quark Masses from QCD
• Analysis of the ${\frac{1}{2}}^{+}$ doubly heavy baryon states with QCD sum rules
• Power corrections to alpha_s(M_τ),|V_{us}| and m_s
• Open Charm and Beauty Chiral Multiplets in QCD
• Direct extraction of the chiral quark condensate and bounds on the light quark masses
• A fresh look into the heavy quark-mass values
• Doubly heavy baryons in QCD sum rules
• Gluon condensates and c, b quark masses from quarkonia ratios of moments
• Spectroscopy of doubly charmed baryons
• Duality between QCD Perturbative Series and Power Corrections
• Analysis of the ${\frac{3}{2}}^{+}$ heavy and doubly heavy baryon states with QCD sum rules
• Strange-quark mass from combined e+e- and tau-decay data:test of the isospin symmetry and implications on epsilon'/εand m_{u,d}
• c,b quark masses and f_D_(s), f_B_(s) decay constants from pseudoscalar sum rules in full QCD to order alpha_s^2
• Model-independent determination of ${\overline{m}}_s$ from $\tau$-like inclusive decays in $e^{+}{e}^{-}$ and implications for the $\chi SB$-parameters
• Strange quark mass from e+e- revisited and present status of light quark masses
• Precise Determination of {$f_{P_s}/f_P$}} {\bf and Measurement of the ``Perturbative'' Pole Mass from {$f_P$}}
• Systematic uncertainties of hadron parameters obtained with QCD sum rules
• SU(3) mass-splittings of heavy-baryons in QCD
• Gluon Condensate from Superconvergent QCD Sum Rule
• |V_{cd}|, |V_{cs}| and f_{D_s} from (semi) leptonic $D_{(s)}$-decays : signals of New Physics ?
• {$SU(3)$} breaking in {$\bar{B}/D\rar Kl\bar ν$} decays and value of {$V_{cd}/V_{cs}$}}
• Strange quark condensate from QCD sum rules to five loops
• QCD '98: status of the power corrections
• Heavy baryon properties with NLO accuracy in perturbative QCD
• Predictions for masses of Xi_b baryons

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• Analysis of the scalar, axialvector, vector, tensor doubly charmed tetraquark states with QCD sum rules
• XYZ-like Spectra from Laplace Sum Rule at N2LO in the Chiral Limit
• $X_{0,1}$(2900) and $(D^{-}{K}^{+})$ invariant mass from QCD Laplace sum rules at NLO
• Relation between $T_{cc,bb}$ and $X_{c,b}$ from QCD
• Establishing low-lying doubly charmed baryons
• Z_c -like spectra from QCD Laplace sum rules at NLO
• On the nature of the X(3872) from QCD
• Strong coupling constants of light pseudoscalar mesons with heavy baryons in QCD
• Improved light quark masses from pseudoscalar sum rules
• Nature of the X(5568) : a critical Laplace sum rule analysis at N2LO
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• Search for the doubly heavy ${\Xi }_{bc}^0$ baryon via decays to $D^{0}p{K}^{-}$
• Symmetries and Systematics of Doubly Heavy Hadrons
• Determining $1^{--}$ Heavy Hybrid Masses via QCD Sum Rules
• Study of Doubly Heavy Baryon Spectrum via QCD Sum Rules
• XYZ-SU3 Breakings from Laplace Sum Rules at Higher Orders
• A suggested search for doubly charmed baryons of $J^P=3/2^{+}$ via their electromagnetic transitions
• Systematic analysis of doubly charmed baryons ${\Xi }_{cc}$ and ${\Omega }_{cc}$
• 1-- and 0++ heavy four-quark and molecule states in QCD
• NLO Effects for Doubly Heavy Baryon in QCD Sum Rules
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• Exclusive $c\to s,d$ semileptonic decays of ground-state spin-1/2 doubly charmed baryons
• Chiral Condensate and Spectral Density at full five-loop and partial six-loop orders of Renormalization Group Optimized Perturbation
• QCD Sum Rule Study for a Possible Charmed Pentaquark Θc(3250)
• Effects of a dense medium on parameters of doubly heavy baryons
• Fate of the doubly heavy spin$-3/2$ baryons in a dense medium
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