Spatially resolved measurements of the argon excimer, \(\hbox {Ar}_2^{*}\) , were performed in the effluent of a cold atmospheric plasma jet (CAPJ), the so called kINPen-sci, using cavity ringdown spectroscopy. The spatial distribution of the density of \(\hbox {Ar}_{2}^{*}\) could be distinguished into two distinct populations: a Gaussian and a toroidally shaped distribution. The production mechanisms of these populations seem to differ. On the one hand, a strong correlation was found between the Gaussian \(\hbox {Ar}_{2}^{*}\) population and the spatial distribution of the filaments produced in the effluent of the kINPen-sci. On the other hand, measurements performed while varying the experimental conditions under which the kINPen-sci was operated indicate that the gas flow velocity must play a major role in the formation of the toroidal \(\hbox {Ar}_2^{*}\) population. However, the mechanism of formation of the toroid \(\hbox {Ar}_{2}^{*}\) population remains unclear.