So we did!

We found eight new
charmonium vector states in data

states
masses (GeV)
  
ψ(3,4,5,6D)
≅ 4.55, 4.87, 5.30, 5.66
  
ψ(5,6,7,8S)
≅ 4.42, 4.78, 5.09, 5.44, 5.91

Average level spacings: 380 MeV.

  Eur. Phys. Lett. 85, 61002 (2009)
  arXiv:0904.4351
  arXiv:0906.2278
  Phys. Rev. D 80, 074001 (2009)
  arXiv:1004.4368