2010/10/01 by Shu-Wei Chen, Chen, Shu-Wei, Ching-Chang Lin +3
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Mathematical Physics (math-ph) #Quantum Chromodynamics and Particle Interactions #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.1010.0039
openalex publication_date 2010/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We calculate the S-wave charmonium spectroscopy using the Hamiltonian with the non-relativistic QCD (NRQCD) potential. The logarithmic factor ln μr, appearing in the next-to-leading order QCD loop corrections to the potential, is expanded about r=1/μ, where μ corresponds to the typical charmonium scale. The resulting potential characterized by the Coulombic and linear components is consistent with the form of the Cornell potential. We obtain χ2 fitting results for the masses of the S-wave charmonium states, ηc(11S0), J/ψ(13S1), ηc(21S0), and ψ(23S1) in remarkable accordance with data. Our results successfully account for the hyperfine splitting for the 1S state as well as for the 2S state. We further use the three best fit parameters: the charm quark mass mc, coupling constant αs and the corresponding scale μ to predict the S-wave mass spectrum with n≤ 6. The hints for results are discussed.