Study of B_(c)^(ast) {to} {psi}(1S,2S)P, {η}_(c)(1S,2S)P weak decays

Motivated by the potential prospects of the $B_{c}^{\ast}$ meson samples at hadron colliders, the bottom-changing $B_{c}^{\ast}$ ${\to}$ ${\psi}(1S,2S)P$, ${\eta}_{c}(1S,2S)P$ weak decays are first studied with the perturbative QCD approach, where $P$ $=$ ${\pi}$ and $K$. It is found that branching ratio of the CKM-favored $B_{c}^{\ast}$ ${\to}$ $J/{\psi}{\pi}$ decay is about ${\sim}$ ${\cal O}(10^{-8})$, which might be measurable at the future LHC experiments.