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The dependence of the superconducting gaps in epitaxialBa(Fe_{1-x}Co_{x})_2As_2 thin films on the nominal doping x (0.04 \leq x \leq0.15) was studied by means of point-contact Andreev-reflection spectroscopy.The normalized conductance curves were well fitted by using the 2DBlonder-Tinkham-Klapwijk model with two nodeless, isotropic gaps -- althoughthe possible presence of gap anisotropies cannot be completely excluded. Theamplitudes of the two gaps \Delta_{S} and \Delta_{L} show similar monotonictrends as a function of the local critical temperature T_{c}^{A} (measured inthe same point contacts) from 25 K down to 8 K. The dependence of the gaps on xis well correlated to the trend of the critical temperature, i.e. to the shapeof the superconducting region in the phase diagram. When analyzed within asimple three-band Eliashberg model, this trend turns out to be compatible witha mechanism of superconducting coupling mediated by spin fluctuations, whosecharacteristic energy scales with T_{c} according to the empirical law\Omega_{0}= 4.65*k_{B}*T_{c}, and with a total electron-boson coupling strength\lambda_{tot}= 2.22 for x \leq 0.10 (i.e. up to optimal doping) that slightlydecreases to \lambda_{tot}= 1.82 in the overdoped samples (x = 0.15).

Doping and critical-temperature dependence of the energy gaps in Ba(Fe_{1-x}Co_x)_2As_2 thin films