| In this article,we first study the mass spectrum of the lowest-lying triply heavy hybrid baryon,which consists of three valence heavy quarks in a color octet and one valence gluon,with spin-parity JP=(1/2)+ via QCD sum rules.This is the first study on the triply heavy hybrid baryon.After performing the QCD sum rule analyses,we find that the mass of cccg hybrid baryon lies in Mcccg=5.91-6.13 GeV.As a byproduct,the mass of triply bottom partner hybrid baryon state is extracted to be around Mbbbg=14.62-14.82 GeV.The contributions up to dimension eight at leading order of αs(LO)in the operator product expansion are taken into account in the calculation.The triply charmed hybrid baryon predicted in this work can decay into one doubly charmed baryon and one charmed meson.Especially,we propose to search for cccg hybrid baryon with JP=(1/2)+in the P-wave decay channels Ξcc++D0,Ξcc+D+,andΞccs+Ds+,which may be accessible in Belle Ⅱ,PANDA,Super-B,and LHCb experiments. |