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We use inelastic neutron scattering to study energy and wave vectordependence of the superconductivity-induced resonance in hole-dopedBa$_{0.67}$K$_{0.33}$(Fe$_{1-x}$Co$_{x}$)$_{2}$As$_{2}$ ($x=0,0.08$ with$T_c\approx 37, 28$ K, respectively). In previous work on electron-dopedBa(Fe$_{0.963}$Ni$_{0.037}$)$_2$As$_2$ ($T_N=26$ K and $T_c=17$ K), theresonance is found to peak sharply at the antiferromagnetic (AF) ordering wavevector ${\bf Q}_{\rm AF}$ along the longitudinal direction, but dispersesupwards away from ${\bf Q}_{\rm AF}$ along the transverse direction. For holedoped $x=0, 0.08$ without AF order, we find that the resonance displaysring-like upward dispersion away from ${\bf Q}_{\rm AF}$ along both thelongitudinal and transverse directions. By comparing these results withcalculations using the random phase approximation, we conclude that thedispersive resonance is a direct signature of isotropic superconducting gapsarising from nested hole-electron Fermi surfaces.

physical review. b./physical review. b

Neutron spin resonance as a probe of Fermi surface nesting and  superconducting gap symmetry in  Ba$_{0.67}$K$_{0.33}$(Fe$_{1-x}$Co$_{x}$)$_{2}$As$_{2}$