  Inspired by the recent Hall C and GlueX measurements of $J/\psi$
photoproduction, a systematic analysis of the contribution of quantum anomalous
energy (QAE) to the proton mass is carried out under the framework of the
vector meson dominance model. The results show that the effective Pomeron model
and the parametrized two gluon exchange model can explain the cross section of
$J/\psi$ photoproduction well. Based on the predicted cross section values
given by the two models, the distribution of the QAE contribution with the
energy is extracted for the first time. Finally, the average value of the QAE
contribution is estimated to be (3.50$\pm$0.70)$\%$, which suggests that the
QAE contribution to the proton mass is small. Accordingly, we compared this
result with those of other groups and explored the causes for the differences.
