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A long-standing puzzle is why there is a difference between the optimaldoping \delta_{optimal}=0.15 for the maximal superconducting (SC) transitiontemperature Tc and the critical doping \delta_{critical}=0.19 for the highestsuperfluid density \rho_s in cuprate superconductors? This puzzle is callingfor an explanation. Within the kinetic energy driven SC mechanism, it is shownthat except the quasiparticle coherence, \rho_s is dominated by the bare pairgap, while Tc is set by the effective pair gap. By calculation of the ratio ofthe effective and the bare pair gaps, it is shown that the coupling strengthdecreases with increasing doping. This doping dependence of the couplingstrength induces a shift from the critical doping for the maximal value of thebare pair gap parameter to the optimal doping for the maximal value of theeffective pair gap parameter, which leads to a difference between the optimaldoping for the maximal Tc and the critical doping for the highest \rho_s.

Why there is a difference between optimal doping for maximal Tc and critical doping for highest \rho_s in cuprate superconductors?