The Spectrum Of The Final Particles In The Proton-proton High-energy Collision Does Not Depend On The Scaling Behavior Of The Energy Of The Center Of Mass System

The transverse momentum(pT)spectra of final state particles are important observables in high energy collisions.One of the main goals in high energy collisions is to investigate the dynamics for particle productions.Several approaches are utilized to search for regularities in the particle production,one of them being the search for a scaling behaviour of the transverse momentum(PT)spectra.In recent years,the scaling behaviour that does not depend on the centre of mass energies((?))was found in the PT spectra of inclusive charged hadrons in proton-antiproton(p(?))collisions with(?)=0.63,1.8 and 1.96 TeV.In proton-proton collisions,the hadrons produced are predominantly pions,kaons and protons.As the strange quark is heavier than the up and down quarks,the strange particles such as Ks0,?,(?) and ? only constitute a small fraction of final state particles.The spectra of the transverse momentum of the pions,kaons,protons and strange particles have also been published with center of mass energies((?))at 0.9,2.76 and 7 TeV by ALICE and CMS collaborations.When we investigate the scaling properties of the transverse momentum(PT)spectra,we find that this scaling behaviour is exhibited when the spectra are expressed in a suitable scaling variable z = pT/k,the scaling parameter k depends on(?)and is determined by a new method,the quality factor method(QF method),which does not rely on the shape of the scaling function.The scaling parameter k increases nonlinearly with the center of mass energy((?))and is parameteried by k = ?ln(?)+?,where(?)is the center of mass energy,? and ? are free parameters,? represents the rates at which k increases with In(?).The rates at which k increases with for these strange particles are found to be identical within errors,the a values for charged kaons and protons are comparable to those for the strange particles,the a for pion is smaller than those six particles'.We argue that pions,kaons,protons,strange mesons and strange baryons are produced through the decay of clusters that are formed by the colour strings overlapping.the scaling behaviours of these particles pT spectra could be understood with the colour string percolation model in a quantitative way.