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V.A. Bednyakov*, A.Grinyuk* , G.I. Lykasov*, A.F.Pikelner*, M.G. Poghosyan** *JINR ,Dubna ** CERN, Geneva. ROLE OF GLUONS in SOFT and SEMI-HARD P-P COLLISIONS AT HIGH ENERGIES. 1. Gluon distribution in proton 2. Quark –Gluon-String Model ( QGSM ) and gluons
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V.A. Bednyakov*, A.Grinyuk* , G.I. Lykasov*, A.F.Pikelner*, M.G. Poghosyan** *JINR ,Dubna ** CERN, Geneva ROLE OF GLUONS in SOFT and SEMI-HARD P-P COLLISIONS AT HIGH ENERGIES
1. Gluon distribution in proton 2. Quark –Gluon-String Model (QGSM) and gluons in proton. 3. Inclusive spectra of pions in p-p within QGSM including gluons 4. Elastic parton-parton scatetring and semi-hard p-p collisions 5. Summary OUTLOOK
DIAGRAMS in ppcollisions within QGSM Fig. 1. The one-cylinder graph (at the left) and the multi-cylinder graph (at the right) for the inclusive pp hX process. QGSM A.B.Kaidalov, Phys.Lett., B116, 459 (1982) A.B.Kaidalov, K.A.Ter-Martirosyan, Phys.Lett., B117, 247 (1982) DPM • A.Capella, J.Tran Thanh Van, Phys.Lett., B114, 450 (1982)
INCLUSIVE INVARIANT SPECTRUM of HADRONS PRODUCTION in PP- COLLISIONS The general form for the invariant inclusive hadron spectrum within QGSM is Eq(*) E– is an energy of the produced hadron in l.s.,p– is three-momentum in l.s. x– is Feynman variable,pt– is the transverse momentum of hadron, n– is the cross-section for production of n-pomeron chain. (*) The cross-section is calculated in “eiconal approximation”. (**) * [G.L., V.V.Lyubushkin, V.A.Bednyakov, Nucl.Phys. B198(2010)165]
where, according to the CKMT And we assume that or GLUON DISTRIBUTION IN PROTON
Inclusive hadron production in central region and the AGK cancellation According to the AGK, the n-Pomeron contributions to the inclusive hadron spectrum at y=0 are cancelled and only the one-Pomeron contributes. This was proved asymptotically, i.e., at very high energies. Using this AGK we estimate the inclusive spectrum of the charged hadrons produced in p-p at y=0 as a function of the transverse momentum including the quark and gluon components in the proton. So, the inclusive spectrum is presented in the following form: Aq = 11.91 ± 0.39, bq = 7.29 ± 0.11 Ag = 3.76 ± 0.13 bg = 3.51 ± 0.02 February 2009, CERN 10
Gluons in proton S QCD P QCD pt GeV
SUMMARY • The soft QCD or the QGSM describes the experimental data on inclusive spectra of charge hadrons produced in p-p at low pt (< 1 GeV) rather satisfactorily. • The inclusion of the gluon distributions in proton allows us to apply the QGSM to analyze the hadron production in p-p at higher transverse momenta (~ 2 GeV). • Starting from ~ 2 GeV hard processes dominate: model of Field, Feynman and Fox. • The contribution of gluons in proton to the multiplicity distribution at LHC energies is studied in detail.