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
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.
© SIF and Springer-Verlag Berlin Heidelberg, 2014
