J/ψω decay channel of the X(3872) charm meson molecule
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Braaten_J-decay-channel.pdf
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Author(s)
Braaten, Eric
Kang, Daekyoung
Date Issued
July 2013
Journal
Physical Review D
Publisher
American Physical Society
Citation
Braaten, Eric, and Daekyoung Kang. “J/ψω decay channel of the X(3872) charm meson molecule.” Physical Review D 88, no. 1 (July 2013). © 2013 American Physical Society
Version
Final published version
Abstract
Analyses of the J/ψπ[superscript +]π[superscript -] decay channel of the X(3872) resonance by the CDF, Belle, and LHCb Collaborations have established its J[superscript PC] quantum numbers as 1[superscript ++]. An analysis of the π[superscript +]π[superscript -]π[superscript 0] invariant mass distribution in the J/ψπ[superscript +]π[superscript -]π[superscript 0] decay channel by the BABAR Collaboration indicated a preference for 2[superscript -+] over 1[superscript ++]. We point out that a proper evaluation of the χ[superscript 2] in that analysis increases the probability for 1[superscript ++] from 7.1% to about 18.7%. In the case of quantum numbers 1[superscript ++], where the X has an S-wave coupling to J/ψω, the proximity of the J/ψω threshold to D[superscript *]D̅ thresholds and the narrow width of the ω suggest that the effects of scattering between J/ψω and charm meson pairs could be significant. We derive invariant mass distributions for J/ψπ[superscript +]π[superscript -]π[superscript 0] and π[superscript +]π[superscript -]π[superscript 0] that take into account S-wave scattering between the D[superscript *0]D̅[superscript 0], D[superscript *+]D[superscript -], and J/ψω channels. We also analyze the effects of scattering through the χ[subscript c1](2P) charmonium resonance. We find that scattering effects are unable to produce significant changes in the shape of the π[superscript +]π[superscript -]π[superscript 0] invariant mass distribution.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.88.014028
