Unified study of B_s⁰ → X(3872) π⁺π^- (K⁺ K^-) and B_s⁰ → ψ(2S) π⁺π^- (K⁺ K^-) processes

2025/12/19 by Yun-Hua Chen, Chen, Yun-Hua
Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #Particle physics theoretical and experimental studies #Cold Atom Physics and Bose-Einstein Condensates

paper · doi:10.48550/arxiv.2512.17754

Abstract

We perform a unified description of the experimental data of the π⁺π^- invariant mass spectra of B_s⁰ → ψ(2S) π⁺π^-, the π⁺π^- and K⁺ K^- invariant mass spectra of B_s⁰ → X(3872) π⁺π^- (K⁺ K^-), and the ratio of branch fractions B[B_s⁰ → X(3872)(K⁺K^-)_\rm non-ϕ]/ B[B_s⁰ → X(3872)π⁺ π^-). The strong final state interactions between the two pseudoscalars are taken into account using a parametrization fulfilling unitarity and analyticity. We find that there is universality in the coupling constants for B_s⁰ → ψ(2S) π⁺π^- and B_s⁰ → J/ψπ⁺π^- processes. While the couplings of B_s⁰ → X(3872) π⁺π^- are about half of magnitude smaller than the couplings of B_s⁰ → ψ(2S) π⁺π^-, which indicates that the X(3872) is different from a pure charmonium state. Furthermore, we find that the f₀(1500) plays an important role in the B_s⁰ → ψ(2S) π⁺π^- and the B_s⁰ → X(3872) π⁺π^- (K⁺ K^-) processes, though the phase space of B_s⁰ → X(3872) f₀(1500) is small. Also we predict the ratio of branch fractions B[B_s⁰ → ψ(2S)(K⁺K^-)_\rm non-ϕ]/ B[B_s⁰ → ψ(2S)π⁺ π^-] and the K⁺ K^- invariant mass distribution of B_s⁰ → ψ(2S)K⁺K^-.

Citations

• Three ways to decipher the nature of exotic hadrons: Multiplets, three-body hadronic molecules, and correlation functions
• The X Y Z states: Experimental and theoretical status and perspectives
• Exotics: Heavy pentaquarks and tetraquarks
• Heavy-quark QCD exotica
• The hidden-charm pentaquark and tetraquark states

Related

• Analysis of B_s⁰ → X(3872) [ψ(2S)] π⁺π^- (K⁺ K^-) decays
• Study of B → X(3872) K π at Belle
• Contributions of ψ₂(3823) and ψ(4040) charmonium in B⁺→ J/ψηK⁺ decay
• Analysis of localized CP asymmetry in B_s⁰ → π⁺π^-π⁰(K⁰)
• Analysis of B⁰_s→ χ_c1(3872)π⁺π^- decay