Abstract
We study masses, lifetimes and weak decays of the triply heavy tetraquarks {b{bar{c}}}{b{bar{q}}}. The masses of tetraquark are explored under two different models. Further more, our calculations show a possibility of existence for the stable triply heavy tetraquark b{bar{c}} b{bar{q}} with J^P=1^+ which should be verified in experiment. Following the heavy quark expanding(HQE), the lifetimes of tetraquarks {b{bar{c}}}{b{bar{q}}} can be expressed as the summation of different dimension operators. Particularly, we obtain the lifetimes of {b{bar{c}}}{b{bar{q}}} at the next-to-leading order(NLO) given as tau (T^{{bb}}_{{{bar{c}}{bar{q}}}})=0.70times 10^{-12}s. Besides, we construct the weak decays Hamiltonian of {b{bar{c}}}{b{bar{q}}} in hadronic level under the SU(3) flavor symmetry. The discussion of the Hamiltonian can deduce the decay amplitudes and width relations of the tetraquarks. Following the choosing rules, we collect some golden channels for the mesonic decays of tetraquarks, which will be helpful to search for triply heavy tetraquarks {b{bar{c}}}{b{bar{q}}} in future experiments.
Highlights
The four-quark state bcbqwith three heavy quark is apparently different from the discovered quarkoniumlike state, in this respect, it might offer a new platform to study the internal structure of the exotic states
We have studied the masses, lifetimes and weak decays of the heavy tetraquarks bcbq
The mass spectrums of tetraquark bbcqwere calculated in non-relativistic model, we found the triply heavy tetraquark with J P = 1+ could be the stable state which should be verified by further experiments
Summary
The four-quark state bcbqwith three heavy quark is apparently different from the discovered quarkoniumlike state, in this respect, it might offer a new platform to study the internal structure of the exotic states. It can be an ideal source to understand the hadronic dynamic and QCD factorization approach. The lifetimes of the tetraquarks can be expressed into several matrix elements of effective operators in the OPE technique In this case, we investigate the lifetimes at the leading and next-to-leading order in the heavy quark expansion.
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