Charmonium states in a coupled-channel model

• Published in: The European physical journal. C, Particles and fields Particles and fields, 2024-08, Vol.84 (8), p.810-23, Article 810
• Main Authors: Man, Zi-Long, Shu, Cheng-Rui, Liu, Yan-Rui, Chen, Hong
• Format: Article
• Language: English
• Subjects: Astronomy; Astrophysics and Cosmology; Charm (particle physics); Decay; Elementary Particles; Hadrons; Heavy Ions; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quarks; Regular Article - Theoretical Physics; String Theory; Vector mesons
• ISSN: 1434-6052; 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-024-13132-7

We systematically investigate the mass spectrum and two-body open-charm strong decays of charmonium states in a coupled-channel model where the 3 P 0 quark-antiquark pair creation mechanism is employed. The results of masses, mass shifts, proportions of the c c ¯ component, and open-charm decay widths are provided. The S - D wave mixing angles and di-electric decay widths for vector mesons are also presented. Based on our results, we find that the ψ ( 3770 ) , ψ ( 4040 ) , ψ ( 4160 ) , ψ ( 4360 ) , and ψ ( 4415 ) can be assigned as the 1 3 D 1 -, 3 3 S 1 -, 2 3 D 1 -, 4 3 S 1 -, and 3 3 D 1 -dominated charmonium states, respectively. The ψ 3 ( 3842 ) is a good candidate of the ψ 3 ( 1 D ) charmonium state. The calculated mass and strong decay width of χ c 1 ( 2 P ) with significant continuum contribution ( ∼ 57%) favor the charmonium interpretation for the mysterious χ c 1 ( 3872 ) . When considering the large uncertainty in the observed decay width, the possibility to assign the χ c 0 ( 3860 ) as the χ c 0 ( 2 P ) charmonium state cannot be ruled out. One may describe well the properties of χ c 2 ( 3930 ) with the χ c 2 ( 2 P ) charmonium. The predictions on properties of other c c ¯ states can be tested by future experiments.