Eur. Phys. J. C (2014) 74: 3208
https://doi.org/10.1140/epjc/s10052-014-3208-5

Regular Article - Theoretical Physics

Prediction of a missing higher charmonium around 4.26 GeV in $$J/\psi $$ family

¹ Research Center for Hadron and CSR Physics, Institute of Modern Physics of CAS, Lanzhou University, Lanzhou, 730000, China
² School of Physical Science and Technology, Lanzhou University, Lanzhou, 730000, China
³ Nuclear Theory Group, Institute of Modern Physics of CAS, Lanzhou, 730000, China
⁴ Tokyo Kasei University, 1-18-1 Kaga, Itabashi, Tokyo, 173-8602, Japan
⁵ Theoretical Research Division, Nishina Center, RIKEN, Saitama, 351-0198, Japan

^* e-mail: xiangliu@lzu.edu.cn

Received: 15 October 2014
Accepted: 27 November 2014
Published online: 11 December 2014

Abstract

Inspired by the similarity between the mass gaps of the $$J/\psi $$ and $$\Upsilon $$ families, the prediction of a missing higher charmonium with mass 4,263 MeV and very narrow width is made. In addition, the properties of two charmonium-like states, $$X(3940)$$ and $$X(4160)$$, and charmonium $$\psi (4415)$$ are discussed, where our calculation shows that $$X(3940)$$ as $$\eta _c(3S)$$ is established, while the explanation of $$X(4160)$$ to be $$\eta _c(4S)$$ is fully excluded and that $$\eta _c(4S)$$ is typically a very narrow state. These predictions might be accessible at BESIII, Belle, and BelleII in near future.