Abstract
The exotic state X(5568) which was observed by D0 Collaboration is very likely to be a tetraquark state with four different valence quark flavors, though the existence was not confirmed by other collaborations. The possibility of such state still generates lots of interests in theory. In the paper, we will study the properties of the state under the SU(3) flavor symmetry. The four quark states with a heavy bottom quark and three light quarks(anti-quark) can form {bar{3}}, 6 and {overline{15}} representations. The weak decays can be dominant and should be discussed carefully while these states are stable against the strong and electromagnetic interactions. Therefor we will study the multi-body semileptonic and nonleptonic weak decays systematically. With the help of SU(3) flavor symmetry, we can give the Hamiltonian in the hadronic level, then obtain the parameterized irreducible amplitudes and the relations of different channels. At the end of the article, we collect some Cabibbo allowed two-body and three-body weak decay channels which can be used to reconstruct X_{b6} states at the branching fraction up to be 10^{-5}.
Highlights
J/ψ K − p at LHCb in 2015 could be treated as the candidates of the hidden charm pentaquarks [10]
We studied the weak decay properties of open-bottom tetraquark Xb6 states under the SU(3) flavor symmetry
We focused on semi-leptonic and non-leptonic weak decays of the ground states of sextet representations whose masses are below the thresholds of strong and electromagnetic decays
Summary
J/ψ K − p at LHCb in 2015 could be treated as the candidates of the hidden charm pentaquarks [10]. The theoretical papers have appeared to study the properties of the open-flavor tetraquark state [17,18,19,20,21,22,23,24,25,26,27,28,29]. We will adopt the light quark SU(3) flavor symmetry to deal with the weak decays of the open-bottom tetraquarks. The open-bottom four quark multiplets Qqi qj qk can form a 3 ̄, 6 or 15 representation in the SU(3) flavor symmetry It will be seen that the fifteen-fold states are the excited tetraquark states which can hadronic decay into the the sextet states, and the anti-triplet can usually electromagnetic decay into B meson.
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