A phenomenological analysis on isospin-violating decay of X(3872)

Qi Wu; Dian-Yong Chen; Takayuki Matsuki

doi:10.1140/epjc/s10052-021-08984-2

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2021) 81: 193
https://doi.org/10.1140/epjc/s10052-021-08984-2

Regular Article - Theoretical Physics

A phenomenological analysis on isospin-violating decay of X(3872)

Qi Wu¹, Dian-Yong Chen¹^b and Takayuki Matsuki²

¹ School of Physics, Southeast University, 210094, Nanjing, China
² Tokyo Kasei University, 1-18-1 Kaga, Itabashi, 173-8602, Tokyo, Japan

^b chendy@seu.edu.cn

Received: 24 December 2020
Accepted: 16 February 2021
Published online: 26 February 2021

Abstract

In a molecular scenario, we investigate the isospin-breaking hidden charm decay processes of X(3872), i.e., $X (3872) \to π^{+} π^{-} J / ψ$ $X(3872) \rightarrow \pi ^+ \pi ^- J/\psi$ , $X (3872) \to π^{+} π^{-} π^{0} J / ψ$ $X(3872) \rightarrow \pi ^+ \pi ^- \pi ^0 J/\psi$ , and $X (3872) \to π^{0} χ_{cJ}$ $X(3872)\rightarrow \pi ^0\chi _{cJ}$ . We assume that the source of the strong isospin violation comes from the different coupling strengths of X(3872) to its charged components $D^{* +} D^{-}$ $D^{*+} D^-$ and neutral components $D^{* 0} {\bar{D}}^{0}$ $D^{*0 } {\bar{D}}^0$ as well as the interference between the charged meson loops and neutral meson loops. The former effect could fix our parameters by using the measurement of the ratio $Γ [X (3872) \to π^{+} π^{-} π^{0} J / ψ] / Γ [X (3872) \to π^{+} π^{-} J / ψ]$ $\Gamma [X(3872) \rightarrow \pi ^+ \pi ^- \pi ^0 J/\psi ]/\Gamma [X(3872) \rightarrow \pi ^+ \pi ^- J/\psi ]$ . With the determined parameter range, we find that the estimated ratio $Γ [X (3872) \to π^{0} χ_{c 1} / Γ [X (3872) \to π^{+} π^{-} J / ψ]$ $\Gamma [X(3872) \rightarrow \pi ^0 \chi _{c1}/\Gamma [X(3872) \rightarrow \pi ^+ \pi ^- J/\psi ]$ is well consistent with the experimental measurement from the BESIII collaboration. Moreover, the partial width ratio of $π^{0} χ_{cJ}$ $\pi ^0 \chi _{cJ}$ for $J = 0, 1, 2$ $$J=0,1,2$$ is estimated to be $1.77 - 1.65 : 1 : 1.09 - 1.43$ $$1.77{-}1.65:1:1.09{-}1.43$$ , which could be tested by further precise measurements of BESIII and Belle II.

© The Author(s) 2021

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