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Doping dependence of the superconducting state structure and spin-fluctuationpairing mechanism in the $Ba(Fe_{1-x}Co_{x})_{2}As_{2}$ family is studied.BCS-like analysis of experimental data shows that in the overdoped regime, awayfrom the AFM transition, the spin-fluctuation interaction between the electronand hole gaps is weak, and $Ba(Fe_{1-x}Co_{x})_{2}As_{2}$ is characterized bythree essentially different gaps. In the three-gap state an anisotropic(nodeless) electron gap $\Delta_e (x, \phi)$ has an intermediate value betweenthe dominant inner $\Delta_{2h}(x)$ and outer $\Delta_{1h}(x)$ hole gaps. Closeto the AFM transition the electron gap $\Delta_e (x, \phi)$ increases sharplyand becomes closer in magnitude to the dominant inner hole gap$\Delta_{2h}(x)$. The same two-gap state with close electron and inner holegaps $\Delta_{2h}(x) \approx \Delta_e (x, \phi)$ is also preserved in the phaseof coexisting antiferromagnetism and superconductivity. The doping dependenceof the electron gap $\Delta_e (x, \phi)$ is associated with the strong dopingdependence of the spin-fluctuation interaction in the AFM transition region. Incontrast to the electron gap $\Delta_e (x, \phi)$, the doping dependence of thehole gaps $\Delta_{1,2h}(x)$ and the critical temperature $T_{c}(x)$, bothbefore and after the AFM transition, are associated with a change of thedensity of states $\gamma_{nh}(x)$ and the intraband electron-phononinteraction in the hole bands. The non-phonon spin-fluctuation interaction inthe hole bands in the entire Co concentration range is small compared with theintraband electron-phonon interaction and is not dominant in the$Ba(Fe_{1-x}Co_{x})_{2}As_{2}$ family.

Doping evolution of the gap structure and spin-fluctuation pairing in $Ba(Fe_{1-x}Co_{x})_{2}As_{2}$ superconductors