61,075 research outputs found

    On the initial condition for evolution of the perturbative QCD Pomeron in the nucleus

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    It is shown that subdominant terms found in the reggeized gluon diagram technique, to be added to Pomeron fan diagrams with the 3P interaction, can be exactly taken into account by taking the initial condition for evolution in the Glauber form. This demonstrates complete equivalence of the dipole picture and the reggeized gluon approach not only on the leading level but also on the subleading level.Comment: 5 pages in LaTe

    Double inclusive cross-sections for gluon production in collision of two projectiles on two targets in the BFKL approach

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    Double inclusive cross-sections for gluon production in collision of two nucleons with two nucleons are studied in the BFKL approach. Various contributions include emission from the pomerons attached to the participants, from the BFKL interactions between these pomerons and from the intermediate BKP state. The last contribution may be observable provided the growth with energy of the pomeron contribution is tamed in accordance with unitarity. Possibility of long-range azimuthal correlations due to the BKP state are discussed.Comment: arXiv admin note: substantial text overlap with arXiv:1305.171

    ΔπN\Delta\pi N coupling constant in light cone QCD sum rules

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    We employ the light cone QCD sum rules to calculate ΔπN\Delta\pi N coupling constant by studying the two point correlation function between the vacuum and the pion state. Our result is consistent with the traditional QCD sum rules calculations and it is in agreement with the experimental value.Comment: 8 pages, latex, 2 figure

    Deep Inelastic Scattering Beyond Perturbation Theory

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    I discuss possibilities to observe the instanton-induced contributions to deep inelastic scattering which correspond to nonperturbative exponential corrections to the coefficient functions in front of parton distributions of the leading twist.Comment: Talk given at the Leipzig workshop on High Energy Physics, Kyffhaeuser, September 20-24,1993, LATEX, 12 pages, 3 figures included as uu-encoded file, MPI-Ph/93-7

    On a theorem of K T Chen

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    Proving normal form of mappings of real line into itself by contracting mapping principl

    Electroproduction of Resonances at Large Momentum Transfers

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    Measurements of transition form factors for the electro-excitation of nucleon resonances in the Q^2=5-14 GeV^2 region can provide one with the information on quark wave functions at small transverse separations. In particular a comparison of form factors for the states of opposite parity can give insight in the mechanisms of chiral symmetry breaking. I discuss perspectives of the theoretical description of such reactions using a combination of lattice calculations and light-cone sum rulesComment: 10 pages, 5 figures. Contribution to the Proceedings of the 4th Workshop on Exclusive Reactions at High Momentum Transfer, May 18-21, 2010 Thomas Jefferson National Accelerator Facility Newport News, Virginia US

    Inclusive cross-sections for gluon production in collision of two projectiles on two targets in the BFKL approach

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    Inclusive cross-sections for gluon production in collision of two mucleons with two nucleons are studied in the BFKL approach. Various contributions include emission from the pomerons attached to the participants, from the BFKL interactions in between these pomerons and from the intermediate BKP state. The last contribution may be observable provided the growth with energy of the pomeron contribution is tamed in accordance with unitarity

    Structure function of the nucleus in the perturbative QCD with NcN_c\to\infty (BFKL pomeron fan diagrams)

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    Equation for the sum of BFKL pomeron fan diagrams is rederived by direct summation and solved numerically for rapidities y50y\leq 50. At high rapidities y>20 the resulting cross-sections for the scattering of a longitudinally polarized qqˉq\bar q pair on the nucleus cease to depend on its transverse dimension and tend to a constant limit 0.1768 RA2R_A^2, which corresponds to scattering of a colour dipole on a black disk. Thus the unitarity is restored and the singularity in the j plane is reduced to a simple pole at j=1.The nuclear structure function at small x behaves as Q2ln(1/x)Q^2\ln(1/x). The found gluon density has a soliton-like form in the logk\log k space: its form is close to Gaussian, independent of rapidity, the centermoving towards higher logk\log k with a nearly constant velocity as rapidity increases.Comment: 14 pages in LaTex, 9 figures in Postscript. Error in Eq. (45) corrected and correspondingly Figs. 4-7 replace
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