Abstract: Recently, Ref. 1 introduced a running form of strongly coupled constant and heavy quark binding energies for MIT bag model, and better calculated all confirmed ground state hadron spectra. Considering that one contribution of binding energy is short-range binding between heavy quark, that is, chromoelectric interaction, a running form will replace the previous fitting parameters. This running form is coulombic potential, which varies with the bag radius R and participates in the variation of mass formula. The results show that the introduction of the chromoelectric interaction will also control the mass error within the approximate 40 MeV, and obtain more accurate results compared with the method of fitting parameters. This provides a reference for the exploration of the chromoelectric interaction between heavy quarks.