On the Physical Contents of the Light-Cone QCD Effective Hamiltonian on Meson Sector

To explore the physical contents of the light-cone QCD effective Hamiltonian on meson sector, the mass spectra of flavour off-diagonal mesons consisting of (u,d,s,c,b) quarks and mesons consisting of heavy quarks cc^- and bb^- are calculated relativistically and nonperturbatively. Numerical results show that the present light-cone QCD effective Hamiltonian without confining potentials and flavour mixing interactions can well describe the ground states but can not apply for the excited states of the mesons. This result may imply that (i) the confining potential is indispensable for the excited states of mesons, (ii) the valence quark qq¹ subspace is only valid for ground states but not for excited states. The above information may be significant for improving the light-cone QCD effective Hamiltonian approach, especially showing the urgent need to implement a confining potential and to enlarge the subspace of the meson sector for a more appropriate description of the excited states of the mesons.