We study two potential systematic errors which affect precision measurements of the collision shift of an unresolved multi-component Doppler-broadened resonance: the optical intensity-dependent shift of the absorption resonance peak and the temperature dependence of the shift of the resonance peak. Experiments with 87Rb reveal an intensity-dependent shift of the D2, F=2, F' resonance. We interpret the shift to be the result of reshaping of the resonance profile by optical pumping on two of the three hyperfine components, with the pumping rate differing when argon perturbers are present. Furthermore, the multi-component Doppler-broadened resonance exhibits a temperature-dependent shift in the theoretical profile for the resonance. Accurate measurement of the collision shift for such resonances, at a precision of a few MHz, requires consideration of the intensity and temperature-dependent effects.
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