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

We study the semileptonic decay of \(B^{-}_c\) meson into \(\bar{\nu } l^-\) and the isospin zero \(X(3930)~(2^{++})\), \(X(3940)~(0^{++})\), \(X(4160)~(2^{++})\) 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 \(D^{*}\bar{D^{*}}\) and \(D^{*}_{s}\bar{D_{s}^{*}}\). We also look into the \(B^{-}_c \rightarrow \bar{\nu }_{l} l^- D^{*}\bar{D^{*}}\) and \(B^{-}_c \rightarrow \bar{\nu }_{l} l^- D^{*}_{s}\bar{D_{s}^{*}}\) reactions close to threshold and relate the \(D^{*}\bar{D^{*}}\) and \(D^{*}_{s}\bar{D_{s}^{*}}\) mass distribution to the rate of production of the X resonances.