Charmonium spectrum and their electromagnetic transitions with higher multipole contributions

The charmonium spectrum is calculated with two nonrelativistic quark models, the linear potential model, and the screened potential model. Using the obtained wave functions, we evaluate the electromagnetic transitions of charmonium states up to 4S multiplet. The higher multipole contributions are included by a multipole expansion of the electromagnetic interactions. Our results are in reasonable agreement with the measurements. As conventional charmonium states, the radiative decay properties of the newly observed charmoniumlike states, such as X(3823), X(3872), and X(4140/4274), are discussed. The X(3823) as ψ2(1D), its radiative decay properties well agree with the observations. From the radiative decay properties of X(3872), one cannot exclude it as a χc1(2P) dominant state. We also give discussions of possibly observing the missing charmonium states in radiative transitions, which might provide some useful references to look for them in forthcoming experiments. The higher multipole contributions to the electromagnetic transitions are analyzed as well. It is found that the higher contribution from the magnetic part could give notable corrections to some E1 dominant processes by interfering with the E1 amplitudes. Our predictions for the normalized magnetic quadrupole amplitudes M2 of the χc1,2(1P)→J/ψγ processes are in good agreement with the recent CLEO measurements.

Note:

20 pages, 1 figure. Large improvement was done according to the referee's suggestions. To be published in PRD. arXiv admin note: text overlap with arXiv:1510.08269

12.39.Jh
12.39.Pn
13.20.Gd
14.40.Pq
transition: electromagnetic
operator: transition
quark model: nonrelativistic
meson: photoproduction
width
charmonium

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Figures(3)

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