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Proton structure from hard p-p processes at high energies

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 Added by Gennady Lykasov I
 Publication date 2014
  fields
and research's language is English




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Up to now, the existence of intrinsic (or valence-like) heavy quark components of the proton distribution function has not yet been confirmed or rejected. We show that this hypothesis can be verified at experiments on the inclusive production of the open strangeness (NA61) and at measurements of prompt photons or vector bosons accompanied by heavy flavour jets performed at LHC, CERN. Our theoretical study demonstrates that investigations of the intrinsic heavy quark contributions look very promising in hard processes like $pprightarrow K^pm+X$ and $pprightarrowgamma/Z/W +c(b)+X$. A possible observation of these components at the CBM, NICA experiments is discussed also.



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The production of heavy flavour hadrons in $pp$ collisions at large values of their transverse momenta can be a new unique source for estimation of intrinsic heavy quark contribution to the proton. We analyze the inclusive production of the open strangeness and the semi-inclusive hard processes of the photon and vector boson production accompanied by the $c$- or $b$-jets in $pp$ collisions. We show that one should select the parton-level (sub)processes (and final-state signatures) that are the most sensitive to the intrinsic heavy quark contributions. We present some predictions for these processes made within the perturbative QCD including the intrinsic strangeness and intrinsic charm in the proton that can be verified in the NA61 experiment and at LHC.
Exact analytical forms of solutions for Dispersion Relations for Amplitudes and Dispersion Relations for Slopes are applied in the analysis of pp and $rm {p bar p}$ scattering data in the forward range at energies below $sqrt(s)approx 30 GeV$. As inputs for the energy dependence of the imaginary part, use is made of analytic form for the total cross sections and for parameters of the $t$ dependence of the imaginary parts, with exponential and linear factors. A structure for the $t$ dependence of the real amplitude is written, with slopes $B_R$ and a linear factor $rho-mu_R t$ that allows compatibility of the data with the predictions from dispersion relations for the derivatives of the real amplitude at the origin. A very precise description is made of all $dsigma/dt$ data, with regular energy dependence of all quantities. It is shown that a revision of previous calculations of total cross sections, slopes and $rho$ parameters in the literatures is necessary, and stressed that only determinations based on $dsigma/dt$ data covering sufficient $t$ range using appropriate forms of amplitudes can be considered as valid.
We analyze the self-similarity approach applied to study the hadron production in p-p and A-A collisions. This approach allows us to describe rather well the ratio of the proton to anti-proton yields in A-A collisions as a function of the energy at a wide range from a few GeV to a few TeV. We suggest a modification of this approach to describe rather well the inclusive spectra of hadrons produced in $pp$ collisions at different initial energies from the AGS to LHC.
We present theoretical model comparison with published ALICE results for D-mesons (D$^0$, D$^+$ and D$^{*+}$) in $p$+$p$ collisions at $sqrt{s}$ = 7 TeV and $p$+Pb collisions at $sqrt{s_{NN}}$ = 5.02 TeV. Event generator HIJING, transport calculation of AMPT and calculations from NLO(MNR) and FONLL have been used for this study. We found that HIJING and AMPT model predictions are matching with published D-meson cross-sections in $p$+$p$ collisions, while both under-predict the same in $p$+Pb collisions. Attempts were made to explain the $R_{pPb}$ data using NLO-pQCD(MNR), FONLL and other above mentioned models.
We study the correlations of D mesons produced in $p$+$p$ and $p$+Pb collisions. These are found to be sensitive to the effects of the cold nuclear medium and the transverse momentum ($p_T$) regions we are looking into. In order to put this on a quantitative footing, as a first step we analyse the azimuthal correlations of D meson-charged hadron(Dh), and then predict the same for D meson -anti D meson ($Doverline{D}$) pairs in $p$+$p$ and $p$+Pb collisions with strong coupling at leading order $cal{O}$($alpha_{s}^{2}$) and next to leading order $cal{O}$($alpha_{s}^{3}$) which includes space-time evolution (in both systems), as well cold nuclear matter effects (in $p$+Pb). This also sets the stage and baseline for the identification and study of medium modification of azimuthal correlations in relativistic collision of heavy nuclei at the Large Hadron Collider.
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