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

TL;DR

This paper uses the newly measured $B o KDar{D}$ process to determine the branching ratio of $B o K ext{ extchi}_{c0}(2P)$, supporting the identification of the $ ext{ extchi}_{c0}(2P)$ charmonium state.

Contribution

It provides the first extraction of the branching ratio for $B o K extchi_{c0}(2P)$ from experimental data, reinforcing the role of this process in charmonium spectroscopy.

Findings

Branching ratio $ extmathcal{B}[B o K extchi_{c0}(2P)]$ extracted for the first time.

Rescattering mechanism reproduces the measured branching ratio well.

Supports the identification of $ extchi_{c0}(2P)$ as a genuine charmonium 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.