2013/05/23 by Eric Braaten, Braaten, Eric, Daekyoung Kang +1
Pharmacology, Toxicology and Pharmaceutics · Physics and Astronomy · #Chemical Reactions and Isotopes #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph
paper · pdf · doi:10.48550/arxiv.1305.5564
21 pages, 4 figures
arxiv created 2013/05/23 · openalex publication_date 2013/05/23 · arxiv updated 2013/05/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Analyses of the J/ψ π+ π- decay channel of the X(3872) resonance by the CDF, Belle, and LHCb collaborations have established its JPC quantum numbers as 1++. An analysis of the π+ π- π0 invariant mass distribution in the J/ψ π+ π- π0 decay channel by the Babar collaboration indicated a preference for 2-+ over 1++. We point out that a proper evaluation of the chi2 in that analysis increases the probability for 1++ from 7.1% to about 18.7%. In the case of quantum numbers 1++, where the X has an S-wave coupling to J/ψ ω, the proximity of the J/ψ ω threshold to D^* Dbar thresholds and the narrow width of the ω suggest that the effects of scattering between J/ψ ω and charm meson pairs could be significant. We derive invariant mass distributions for J/ψ π+ π- and π+ π- π0 that take into account S-wave scattering between the D*0 Dbar0, D*+ D-, and J/ψ ω channels. We also analyze the effects of scattering through the chic1(2P) charmonium resonance. We find that scattering effects are unable to produce significant changes in the shape of the π+ π- π 0 invariant mass distribution.