An Interesting Charmonium State Formation and Decay : $p \bar p \to ^1D_2 \to ^1P_1 γ$

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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9 pages (no figures), Plain TeX, CBPF-NF-014/94, INFNCA-TH-94-5

Scientific paper

10.1103/PhysRevD.51.2478

Massless perturbative QCD forbids, at leading order, the exclusive annihilation of proton-antiproton into some charmonium states, which, however, have been observed in the $p\bar p$ channel, indicating the significance of higher order and non perturbative effects in the few GeV energy region. The most well known cases are those of the $^1S_0$ ($\eta_c$) and the $^1P_1$. The case of the $^1D_2$ is considered here and a way of detecting such a state through its typical angular distribution in the radiative decay $^1D_2 \to$ $^1P_1 \gamma$ is suggested. Estimates of the branching ratio $BR(^1D_2 \to p\bar p)$, as given by a quark-diquark model of the nucleon, mass corrections and an instanton induced process are presented.

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