Higher-order multipole amplitudes in charmonium radiative transitions

M. Artuso*, S. Blusk, S. Khalil, R. Mountain, K. Randrianarivony, T. Skwarnicki, S. Stone, J. C. Wang, L. M. Zhang, G. Bonvicini, D. Cinabro, A. Lincoln, M. J. Smith, P. Zhou, J. Zhu, P. Naik, J. Rademacker, D. M. Asner, K. W. Edwards, J. ReedA. N. Robichaud, G. Tatishvili, E. J. White, R. A. Briere, H. Vogel, P. U.E. Onyisi, J. L. Rosner, J. P. Alexander, D. G. Cassel, R. Ehrlich, L. Fields, R. S. Galik, L. Gibbons, S. W. Gray, D. L. Hartill, B. K. Heltsley, J. M. Hunt, D. L. Kreinick, V. E. Kuznetsov, J. Ledoux, H. Mahlke-Krüger, J. R. Patterson, D. Peterson, D. Riley, A. Ryd, A. J. Sadoff, X. Shi, S. Stroiney, W. M. Sun, J. Yelton, P. Rubin, N. Lowrey, S. Mehrabyan, M. Selen, J. Wiss, M. Kornicer, R. E. Mitchell, M. R. Shepherd, C. M. Tarbert, D. Besson, T. K. Pedlar, J. Xavier, D. Cronin-Hennessy, K. Y. Gao, J. Hietala, R. Poling, P. Zweber, S. Dobbs, Z. Metreveli, K. K. Seth, B. J.Y. Tan, A. Tomaradze, S. Brisbane, J. Libby, L. Martin, A. Powell, P. Spradlin, C. Thomas, G. Wilkinson, H. Mendez, J. Y. Ge, D. H. Miller, I. P.J. Shipsey, B. Xin, G. S. Adams, D. Hu, B. Moziak, J. Napolitano, K. M. Ecklund, J. Insler, H. Muramatsu, C. S. Park, E. H. Thorndike, F. Yang

*Corresponding author for this work

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24 Scopus citations


Using 24×106 ψ′≡ψ(2S) decays in CLEO-c, we have searched for higher multipole admixtures in electric-dipole-dominated radiative transitions in charmonia. We find good agreement between our data and theoretical predictions for magnetic quadrupole (M2) amplitudes in the transitions ψ′→γχc1,c2 and χc1,c2→γJ/ ψ, in striking contrast to some previous measurements. Let b2J and a2J denote the normalized M2 amplitudes in the respective aforementioned decays, where the superscript J refers to the angular momentum of the χcJ. By performing unbinned maximum likelihood fits to full five-parameter angular distributions, we found the following values of M2 admixtures for Jχ=1: a2J=1=(-6.26±0.63±0.24)×10-2 and b2J=1=(2.76±0. 73±0.23)×10-2, which agree well with theoretical expectations for a vanishing anomalous magnetic moment of the charm quark. For Jχ=2, if we fix the electric octupole (E3) amplitudes to zero as theory predicts for transitions between charmonium S states and P states, we find a2J=2=(-9.3±1.6±0.3)×10-2 and b2J=2=(1.0±1. 3±0.3)×10-2. If we allow for E3 amplitudes we find, with a four-parameter fit, a2J=2=(-7.9±1.9±0.3)×10-2, b2J=2=(0.2±1.4±0.4)×10-2, a3J=2=(1.7±1.4±0.3) ×10-2, and b3J=2=(-0.8±1.2±0.2)×10-2. We determine the ratios a2J=1/a2J=2=0.67-0.13+0.19 and a2J=1/b2J=1=-2.27-0.99+0.57, where the theoretical predictions are independent of the charmed quark magnetic moment and are a2J=1/a2J=2=0.676±0.071 and a2J=1/b2J=1=-2.27±0.16.

Original languageEnglish (US)
Article number112003
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number11
StatePublished - Dec 28 2009

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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    Artuso, M., Blusk, S., Khalil, S., Mountain, R., Randrianarivony, K., Skwarnicki, T., Stone, S., Wang, J. C., Zhang, L. M., Bonvicini, G., Cinabro, D., Lincoln, A., Smith, M. J., Zhou, P., Zhu, J., Naik, P., Rademacker, J., Asner, D. M., Edwards, K. W., ... Yang, F. (2009). Higher-order multipole amplitudes in charmonium radiative transitions. Physical Review D - Particles, Fields, Gravitation and Cosmology, 80(11), [112003]. https://doi.org/10.1103/PhysRevD.80.112003