Abstract

Considering X(3940) and X(4160) as and , we study the production of X(3940) and X(4160) in exclusive weak decays of the Bc meson by the improved Bethe–Salpeter (BS) method. Using the relativistic BS equation and the Mandelstam formalism, we calculate the corresponding decay form factors. The predictions of the corresponding branching ratios are: and . This will provide a new way to observe X(3940) and X(4160) in the future, as well as to improve the knowledge of Bc meson decay.

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