  A QCD inspired relativistic effective Hamiltonian model for the bound states
of mesons has been constructed, which integrates the advantages of several QCD
effective Hamiltonian models. Based on light-front QCD effective Hamiltonian
model, the squared invariant mass operator of meson is used as the effective
Hamiltonian. The model has been improved significantly in four major aspects:
i)it is proved that in center of mass frame and in internal coordinate Hilbert
subspace, the total angular momentum $J$ of meson is conserved and the mass
eigen equation can be expressed in total angular momentum representation and in
terms of a set of coupled radial eigen equations for each $J$. ii)Based on
lattice QCD results, a relativistic confining potential is introduced into the
effective interaction and the excited states of mesons can be well described.
iii)an SU(3) flavor mixing interaction is introduced phenomenologically to
describe the flavor mixing mesons and the mass eigen equations contain the
coupling among different flavor components. iv)the mass eigen equations are of
relativistic covariance and the coupled radial mass eigen equations take full
account of $L-S $ coupling and tensor interactions. The model has been applied
to describe the whole meson spectra of about 265 mesons with available data.
The agreement of the calculated masses, squared radii, and decay constants with
data is quite well. For the mesons whose mass data have large experimental
uncertainty, the model produces certain mass values for test. For some mesons
whose total angular momenta and parity are not assigned experimentally, the
model gives a prediction of the spectroscopic configuration$^{2S+1}L_J$. The
connection between our model and the recent low energy QCD issues-the infrared
conformal scaling invariance and holographic QCD hadron models is discussed.
