Abstract
We perform a SU(3) analysis for both semi-leptonic and non-leptonic heavy meson weak decays into a pseudoscalar meson and a fully-light tetraquark in 10 or 27 representation. A reduction of the SU(3) representation tensor for the fully-light tetraquarks is produced and all the flavor components for each representation tensor are listed. The decay channels we analysis include B/D rightarrow U/T~P~lnu , B/D rightarrow U/T~P and B_c rightarrow U/T~P/D, with U/T represents a fully-light tetraquark in 10 or 27 representation and P is a pseudoscalar meson. Finally, among these results we list all the golden decay channels which are expected to have more possibilities to be observed in experiments.
Highlights
IntroductionOur understanding on these exotic states is still far from accomplished
On the theoretical side, our understanding on these exotic states is still far from accomplished
The identification of the internal structure of the exotic states is always a critical problem, which requires a careful analysis of experimental observations and theoretical predictions, see e.g. [26,27] for a review
Summary
Our understanding on these exotic states is still far from accomplished. One advantage of SU(3) analysis is that it is irrelevant with the details of the hadron structure, whether the four-quark state is a bounded by diquark and anti-diquark or is a meson-molecule, as well as its explicit quantum number J PC. We will focus on the fully-light tetraquark in 27 or 10 representation, and study their production in the decays B/D → U/T P lν, B/D → U/T P and Bc → U/T P/D, with U/T represents the 10 or 27 states and P is a pseudoscalar meson. According to the SU(3) symmetry the relations among these decay channels can be obtained, which can be examined by the future experiments This analysis is helpful to identify the decay modes that will be mostly useful to discover the fully-light tetraquark states. For the 27 representation, the notation of all the independent components are listed in Table 1, where the (T27)ik components are absent because they are related with other
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