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We indicated in our previous work that for QED the role of the scalarpotential which appears at the loop level is much smaller than that of thevector potential and in fact negligible. But the situation is different forQCD, one reason is that the loop effects are more significant because$\alpha_s$ is much larger than $\alpha$, and secondly the non-perturbative QCDeffects may induce a sizable scalar potential. In this work, wephenomenologically study the contribution of the scalar potential to thespectra of charmonia, bottomonia and $b\bar c(\bar b c)$ family. Taking intoaccount both vector and scalar potentials, by fitting the well measuredcharmonia and bottomonia spectra, we re-fix the relevant parameters and testthem by calculating other states of not only the charmonia, bottomonia, butalso further the $b\bar c$ family. We also consider the Lamb shift of thespectra.

Re-study on the contribution of scalar potential and spectra of $c\bar c$, $b\bar b$ and $b\bar c(\bar b c)$ families