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

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Abstract

Considering Z(3930) and X(4160) as χc2(2 P) and χc2(3 P) states, the semileptonic and nonleptonic of 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 Bc weak decays to Z(3930) and X(4160) are predicted. Some of the branching ratios are: Br(Bc+→Z(3930)e+νe)=(3.03-0.16+0.09)×10-4 and 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 Bc physics.

Original languageEnglish
Article number791
JournalEuropean Physical Journal C
Volume80
Issue number8
DOIs
StatePublished - 1 Aug 2020
Externally publishedYes

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