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

2021/02/17 by Qi Wu, Dian-Yong Chen, Takayuki Matsuki · 2 citations
Physics and Astronomy · #hep-ph #hep-ex

paper · pdf · doi:10.1140/epjc/s10052-021-08984-2

11 pages, 7 figures, accepted for publication in the Eur.Phys.J.C

arxiv created 2021/02/17 · arxiv updated 2021/03/17

Abstract

In a molecular scenario, we investigate the isospin-breaking hidden charm decay processes of X(3872), i.e., X(3872) → π⁺ π^- J/ψ, X(3872) → π⁺ π^- π⁰ J/ψ, and X(3872)→ π⁰χ_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^- and neutral components D^{∗ 0} D⁰ 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) → π⁺ π^- π⁰ J/ψ]/Γ[X(3872) → π⁺ π^- J/ψ]. With the determined parameter range, we find that the estimated ratio Γ[X(3872) → π⁰ χ_c1/Γ[X(3872) → π⁺ π^- J/ψ] is well consistent with the experimental measurement from the BESIII collaboration. Moreover, the partial width ratio of π⁰ χ_cJ for J=0,1,2 is estimated to be 1.77∼1.65:1:1.09∼1.43, which could be tested by further precise measurements of BESIII and Belle II.

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