Role of the newly measured $B\to KD\bar{D}$ process to establish $\chi_{c0}(2P)$ state

Abstract

In this work, the branching ratio $\mathcal{B}[B\to K\chi_{c0}(2P)]$ is extracted for the first time through the fit fractions in the newly measured $B\to KD\bar{D}$ process by LHCb. With the rescattering mechanism, this extracted branching ratio is reproduced well. Our study further enforces the role of the newly measured $B\to KD\bar{D}$ process to establish the $\chi_{c0}(2P)$ charmonium state, which is a crucial step when constructing charmonium family.