Abstract: The experiments of the threshold level show that the mass of pions π +π - are produced in the sphere with x μ2/3M π;The difference between incident mass and newborn mass disappears if N π ± ≥3.At fixed multiplicity N ch the energy summation rule and the constraint condition of hadronic masses are investigated. The average values of hadronic masses obey the renormalization group equation:〈m ch 〉=m π ± exp(QCD) and we have that the mass anomalous dimension γ m(g ∞ R)=0.0808 at fixe...