2016/08/31 by Weijun Deng, Wei-Jun Deng, Hui Liu +2 · 2 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Electromagnetic spectrum #Multipole expansion #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Spectrum (functional analysis) #hep-ex #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.95.034026
published as Phys. Rev. D 95, 034026 (2017) · 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
arxiv created 2016/12/30 · openalex created_date 2017/01/26 · openalex publication_date 2017/02/22 · arxiv updated 2017/03/01 · openalex updated_date 2026/08/05
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 \ensuremathψ2(1D), its radiative decay properties well agree with the observations. From the radiative decay properties of X(3872), one cannot exclude it as a \ensuremathχc1(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 \ensuremathχc1,2(1P)\ensuremath→J/\ensuremathψ\ensuremathγ processes are in good agreement with the recent CLEO measurements.