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Irradiation with 1.4 GeV $^{208}$Pb ions was used to induce artificialdisorder in single crystals of iron-arsenide superconductorBa(Fe$_{1-x}$Co$_x$)$_2$As$_2$ and to study its effect on thetemperature-dependent London penetration depth and transport properties. Studywas undertaken on overdoped single crystals with $x$=0.108 and $x$=0.127characterized by notable modulation of the superconducting gap. Irradiationwith doses 2.22$\times10^{11}$$\textit{d}$/cm$^2$ and2.4$\times10^{11}$$\textit{d}$/cm$^2$, corresponding to the matching fields of$B_{\phi} = $6 T and 6.5 T, respectively, suppresses the superconducting $T_c$by approximately 0.3 to 1 K. The variation of the low-temperature penetrationdepth in both pristine and irradiated samples is well described by thepower-law, $\Delta \lambda (T)=AT^n$. Irradiation increases the magnitude ofthe pre-factor $A$ and decreases the exponent $n$, similar to the effect ofirradiation in optimally doped samples. This finding supports universal$s_{\pm}$ pairing in Ba(Fe$_{1-x}$Co$_x$)$_2$As$_2$ compounds for the whole Codoping range.

Effect of heavy-ion irradiation on London penetration depth in over-doped Ba(Fe,Co)2As2