The weak decay $$B_c$$ Bc to Z(3930) and X(4160) by Bethe–Salpeter method

Autor: Zhi-Hui Wang, Yi Zhang, Tianhong Wang, Yue Jiang, Guo-Li Wang
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: European Physical Journal C: Particles and Fields, Vol 80, Iss 8, Pp 1-9 (2020)
Druh dokumentu: article
ISSN: 1434-6044
1434-6052
DOI: 10.1140/epjc/s10052-020-8372-1
Popis: Abstract Considering Z(3930) and X(4160) as $$\chi _{c2}(2P)$$ χc2(2P) and $$\chi _{c2}(3P)$$ χc2(3P) states, the semileptonic and nonleptonic of $$B_c$$ Bc decays to Z(3930) and X(4160) are studied by the improved Bethe–Salpeter (B–S) Method. The form factors of decay are calculated through the overlap integrals of the meson wave functions in the whole accessible kinematical range. The influence of relativistic corrections are considered in the exclusive decays. Branching ratios of $$B_c$$ Bc weak decays to Z(3930) and X(4160) are predicted. Some of the branching ratios are: $$Br(B_c^+\rightarrow Z(3930)e^+\nu _e)=(3.03^{+0.09}_{-0.16})\times 10^{-4}$$ Br(Bc+→Z(3930)e+νe)=(3.03-0.16+0.09)×10-4 and $$Br(B_c^+\rightarrow X(4160)e^+\nu _e)=(3.55^{+0.83}_{-0.35})\times 10^{-6}$$ Br(Bc+→X(4160)e+νe)=(3.55-0.35+0.83)×10-6 . These results may provide useful information to discover Z(3930) and X(4160) and the necessary information for the phenomenological study of $$B_c$$ Bc physics.
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