Semileptonic decay of ${B}_{c}^{-}$ into X(3930), X(3940), X(4160)

We study the semileptonic decay of ${B}_{c}^{-}$ meson into $\overline{\nu }{l}^{-}$ and the isospin zero $X\left(3930\right)\phantom{\rule{3.33333pt}{0ex}}\left({2}^{++}\right)$ , $X\left(3940\right)\phantom{\rule{3.33333pt}{0ex}}\left({0}^{++}\right)$ , $X\left(4160\right)\phantom{\rule{3.33333pt}{0ex}}\left({2}^{++}\right)$ resonances. We look at the reaction from the perspective that these resonaces appear as dynamically generated from the vector–vector interaction in the charm sector, and couple strongly to ${D}^{\ast }\overline{{D}^{\ast }}$ and ${D}_{s}^{\ast }\overline{{D}_{s}^{\ast }}$ . We also look into the ${B}_{c}^{-}\to {\overline{\nu }}_{l}{l}^{-}{D}^{\ast }\overline{{D}^{\ast }}$ and ${B}_{c}^{-}\to {\overline{\nu }}_{l}{l}^{-}{D}_{s}^{\ast }\overline{{D}_{s}^{\ast }}$ reactions close to threshold and relate the ${D}^{\ast }\overline{{D}^{\ast }}$ and ${D}_{s}^{\ast }\overline{{D}_{s}^{\ast }}$ mass distribution to the rate of production of the X resonances.