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We investigate the magnetic pair-breaking due to Mn impurities in theoptimally electron doped Sr(Fe$_{0.88} $Co$_{0.12} $)$_{2} $As$_2 $superconductor to deduce the symmetry of the superconducting order parameter.Experiments on the as-grown crystals reveal a T$_c $ suppression rate of $ \sim$30 mK/$\mu \Omega cm$, which is in close agreement with similarly slowervalues of T$_c $ suppression rates reported previously for various transitionmetal impurities, both, magnetic and non-magnetic, in several structurallyanalogous iron-based superconductors. However, careful annealing of thesecrystals at low temperature for longer durations reveals new informationcrucial to the determination of the pairing symmetry. We found that thecrystallographic defects are a significant source of pair-breaking in theas-grown crystals. We first establish that these defects are point-like byshowing that their sole effect on electrical transport is to add a temperatureindependent scattering term that shifts the whole $ \rho $ vs. T curves rigidlyup. The T$_c $ suppression rate due to these point-like defects is slow, $ \le$35 mK/$\mu \Omega cm$. On the other hand, T$_c $ suppression rate due tomagnetic pair-breaking is estimated to be faster than 325 mK/$\mu \Omega cm$. Aslower pair-breaking rate (measured in mK/$\mu \Omega cm$) than expected due tonon-magnetic crystallographic defects, together with a faster pair-breakingrate due to magnetic impurities disfavors a sign-changing $s_{+-}$-wave andargues in the favor of a non-sign-changing $s_{++}$-wave state in the optimallyelectron doped SrFe$_2 $As$_2 $ superconductor.

Magnetic disorder and gap symmetry in optimally electron doped Sr(Fe, Co)$_2$As$_2$ superconductor