Charmonium spectrum and electromagnetic transitions with higher multipole contributions

Wei-Jun Deng, Hui Liu, Long-Cheng Gui, and Xian-Hui Zhong
Phys. Rev. D 95, 034026 – Published 22 February 2017

Abstract

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.

  • Figure
  • Received 18 August 2016

DOI:https://doi.org/10.1103/PhysRevD.95.034026

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Nuclear PhysicsParticles & Fields

Authors & Affiliations

Wei-Jun Deng, Hui Liu, Long-Cheng Gui*, and Xian-Hui Zhong

  • Department of Physics, Hunan Normal University, and Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Changsha 410081, China and Synergetic Innovation Center for Quantum Effects and Applications (SICQEA), Changsha 410081, China

  • *guilongcheng@ihep.ac.cn
  • zhongxh@hunnu.edu.cn

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Issue

Vol. 95, Iss. 3 — 1 February 2017

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