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We investigate the properties of charmonia in strong magnetic fields by usingQCD sum rules. We show how to implement the mixing effects between $\eta_c$ and$J/\psi$ on the basis of field-theoretical approaches, and then show that thesum rules are saturated by the mixing effects with phenomenologicallydetermined parameters. Consequently, we find that the mixing effects are thedominant contribution to the mass shifts of the charmonia in strong magneticfields.

QCD sum rules for magnetically induced mixing between $\eta_c$ and $J/\psi$