Production of $Z_c(3900$) and $Z_c(4020)$ in $B_c$ decay

Abstract

In the present work, we propose to search the charmonium-like states $Z_c(3900$) and $Z_c(4020)$ in the $B_c$ decay. In an effective Lagrangian approach, the branching ratios of $B_c^{+}\to Z_c(3900{)}^{+}{\pi }^0$ and $B_c^{+}\to Z_c(4020{)}^{+}{\pi }^0$ are estimated to be of order of $10^{-4}$ and $10^{-7}$, respectively. The large production rate of $Z_c(3900)$ could provide an important source of the production of $Z_c(3900)$ from the semi-exclusive decay of $b$-flavored hadrons reported by D0 Collaboration, which can be tested by the exclusive measurements in LHCb.

Comments: 6 pages, 2 figures and 2 tables, EPJC published version