The characterizing variable for critical point in momentum space

Abstract: The possible experimentally observable signal in momentum space for the critical point, which is free from the contamination of statistical fluctuations, is discussed. It is shown that the higher order scaled moment of transverse momentum can serve as an appropriate signal for this point, provided the transverse momentum distribution has a sudden change when energy increases passing through the critical point. A 2-D percolation model with a linear temperature gradient is constructed to check this suggestion. A sudden change of third order scaled moment of transverse momentum is successfully observed.