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We present the evidences for the existence of a universal scaling behavior ofthe production of $\pi^0$ at all transverse momenta in heavy-ion collisions atall centralities and all collision energies. The corresponding scaling behaviorof the quarks is then derived just before the quarks recombine with antiquarksto form the pions. The degradation effect of the dense medium on the quark$p_T$ is derived from the scaling distribution. In the recombination model itis then possible to calculate the $p_T$ distributions of the produced protonand kaon, which are scaling also. Experimentally verifiable predictions aremade. Implications of the existence of the scaling behavior are discussed.Comment: 10 pages in RevTeX, including 14 figures in eps file

physical review. c. nuclear physics/physical review. c, nuclear physics

Scaling distributions of quarks, mesons, and proton for all<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>,</mml:mo></mml:math>energy, and centrality

Scaling distributions of quarks, mesons, and proton for allpT,energy, and centrality