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Table 1 Mass spectra of charmonium (in GeV) (mc = 1.209 GeV, a = 0.01 GeV2, b = 14.94, d =  − 15.04 GeV−1, c = 0.02 GeV3, δ = 1.7 GeV)

From: Masses and thermodynamic properties of heavy mesons in the non-relativistic quark model using the Nikiforov–Uvarov method

State Present work [8] [28] [30] [25] [31] N = 4 Exp. [32]
1s 3.095 3.078 3.096 3.096 3.096 3.078 3.360 3.096
1p 3.258 3.415 3.433 3.433 3.255 3.415 3.673
2s 3.685 4.187 3.686 3.686 3.686 3.581 3.698 3.686
1D 3.510 3.752 3.767 3.770 3.504 3.749 3.895
2p 3.779 4.143 3.910 4.023 3.779 3.917 3.827 3.773
3s 4.040 5.297 3.984 4.040 4.040 4.085 3.966 4.040
4s 4.262 6.407 4.150 4.355 4.269 4.589 3.986 4.263
2D 3.928 3.096 3.078 4.170 4.159