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Quark-antiquark states and their radiative transitions in terms of the spectral integral equation: Charmonia

  • Elementary Particles and Fields
  • Theory
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Abstract

Earlier by the authors (Yad. Fiz. 70, 68 (2007)), the bƃ states were treated in the framework of the spectral integral equation, together with simultaneous calculations of radiative decays of the considered bottomonia. In the present paper, such a study is carried out for the charmonium \((c\bar c)\) states. We reconstruct the interaction in the c-c sector on the basis of the data for the charmonium levels with J PC = 0−+, 1−−, 0++, 1++, 2++, 1+− and radiative transitions ψ(2S) → γχ c0(1P), γχ c1(1P), γχ c2(1P), γχ c(1S) and χ c0(1P), χ c1(1P), χ c2(1P) → γJ/ψ. The c-c levels and their wave functions are calculated for the radial excitations with n ≤ 6. Also, we determine the c-c component of the photon wave function using the e + e −-annihilation data: e + e − → J/ψ(3097), ψ(3686), ψ(3770), ψ(4040), ψ(4160), ψ(4415) and perform the calculations of the partial widths of the two-photon decays for the n = 1 states η c0(1S), χ c0(1P), χ c2(1P) → γγ and n = 2 states η c0(2S) → γγ, χ c0(2P) → γγ. We discuss the status of the recently observed c-c states X(3872) and Y(3941): according to our results, the X(3872) can be either χ c1(2P) or η c2(1D), while Y(3941) is χ c2(2P).

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Authors and Affiliations

  1. Petersburg Nuclear Physics Institute, Russian Academy of Sciences, Gatchina, 188350, Russia

    V. V. Anisovich, L. G. Dakhno, M. A. Matveev, V. A. Nikonov & A. V. Sarantsev

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  1. V. V. Anisovich
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  2. L. G. Dakhno
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  3. M. A. Matveev
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  4. V. A. Nikonov
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  5. A. V. Sarantsev
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Anisovich, V.V., Dakhno, L.G., Matveev, M.A. et al. Quark-antiquark states and their radiative transitions in terms of the spectral integral equation: Charmonia. Phys. Atom. Nuclei 70, 364–381 (2007). https://doi.org/10.1134/S1063778807020184

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  • DOI: https://doi.org/10.1134/S1063778807020184

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