000018592 001__ 18592 000018592 005__ 20240610120724.0 000018592 0247_ $$2DOI$$a10.1016/j.physletb.2011.03.014 000018592 0247_ $$2WOS$$aWOS:000289543700010 000018592 0247_ $$2arXiv$$aarXiv:1101.1983$$chep-ph 000018592 0247_ $$2Handle$$a2128/10293 000018592 035__ $$9arXiv$$aarXiv:1101.1983$$chep-ph 000018592 035__ $$aSLAC-PUB-14347 000018592 035__ $$aFZJ-IKP-TH-2011-01 000018592 037__ $$aPreJuSER-18592 000018592 041__ $$aeng 000018592 082__ $$a530 000018592 084__ $$2WoS$$aPhysics, Multidisciplinary 000018592 1001_ $$0P:(DE-HGF)0$$aBrodsky, S. J.$$b0 000018592 245__ $$aIsospin splittings of doubly heavy baryons 000018592 260__ $$aAmsterdam$$bNorth-Holland Publ.$$c2011 000018592 300__ $$a251 - 255 000018592 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article 000018592 3367_ $$2DataCite$$aOutput Types/Journal article 000018592 3367_ $$00$$2EndNote$$aJournal Article 000018592 3367_ $$2BibTeX$$aARTICLE 000018592 3367_ $$2ORCID$$aJOURNAL_ARTICLE 000018592 3367_ $$2DRIVER$$aarticle 000018592 440_0 $$04934$$aPhysics Letters B$$v698$$x0370-2693$$y3 000018592 500__ $$aWe want to thank J. Gasser for helpful discussions and U.-G.M. acknowledges a useful communication from H. Leutwyler. S.J.B. is indebted to M. Karliner and H. Lipkin for very helpful discussions on effective diquark models. We also thank J. Engelfried, J.-P. Lansberg, A. Goldhaber and J. Russ for comments. F.-K.G., C.H. and U.-G.M. would like to thank the DFG (SFB/TR 16, "Subnuclear Structure of Matter"), the HGF (Virtual Institute "Spin and Strong QCD", VH-VI-231), and the European Community-Research Infrastructure Integrating Activity "Study of Strongly Interacting Matter" (acronym HadronPhysics2, Grant Agreement No. 227431) under the Seventh Framework Programme of EU for support. U.-G.M. also thanks the BMBF for support (grant 06BN9006). This research was also supported by the Department of Energy, contract DE-AC02-76SF00515. 000018592 520__ $$aThe SELEX Collaboration has reported a very large isospin splitting of doubly charmed baryons. We show that this effect would imply that the doubly charmed baryons are very compact. One intriguing possibility is that such baryons have a linear geometry Q-q-Q where the light quark q oscillates between the two heavy quarks Q, analogous to a linear molecule such as carbon dioxide. However, using conventional arguments, the size of a heavy-light hadron is expected to be around 0.5 fm, much larger than the size needed to explain the observed large isospin splitting. Assuming the distance between two heavy quarks is much smaller than that between the light quark and a heavy one, the doubly heavy baryons are related to the heavy mesons via heavy quark-diquark symmetry. Based on this symmetry, we predict the isospin splittings for doubly heavy baryons including Xi(cc), Xi(bb) and Xi(bc). The prediction for the Xi(cc) is much smaller than the SELEX value. On the other hand, the Xi(bb) baryons are predicted to have an isospin splitting as large as (6.3 +/- 1.7) MeV. An experimental study of doubly bottomed baryons is therefore very important to better understand the structure of baryons with heavy quarks. (C) 2011 Elsevier B.V. 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