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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