450 research outputs found

    Leading infrared logarithms for sigma-model with fields on arbitrary Riemann manifold

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    We derive non-linear recursion equation for the leading infrared logarithms (LL) in four dimensional sigma-model with fields on an arbitrary Riemann manifold. The derived equation allows one to compute leading infrared logarithms to essentially unlimited loop order in terms of geometric characteristics of the Riemann manifold. We reduce the solution of the SU(oo) principal chiral field in arbitrary number of dimensions in the LL approximation to the solution of very simple recursive equation. This result paves a way to the solution of the model in arbitrary number of dimensions at N-->ooComment: Talk given by MVP at the conference devoted to memory of A.N. Vasilie

    Leading Chiral Logarithms for Pion Form Factors to Arbitrary Number of Loops

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    We develop the method of calculation of the leading chiral (infrared) logarithms to an arbitrary loop order for various form factors of Nambu-Goldstone bosons. The method is illustrated on example of scalar and vector form factors in massless 4D O(N+1)/O(N) sigma-model. The analytical properties of the form factors are derived. The leading chiral (infrared) logarithms are summed up in the large N limit.Comment: 5 page

    Hermes and the spin of the proton

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    HERMES is a second generation experiment to study the spin structure of the nucleon, in which measurements of the spin dependent properties of semi-inclusive deep-inelastic lepton scattering are emphasized. Data have been accumulated for semi-inclusive pion, kaon, and proton double-spin asymmetries, as well as for high-p_T hadron pairs, and single-spin azimuthal asymmetries for pion electroproduction and deep virtual Compton scattering. These results provide information on the flavor decomposition of the polarized quark distributions in the nucleon and a first glimpse of the gluon polarization, while the observation of the azimuthal asymmetries show promise for probing the tensor spin of the nucleon and isolating the total angular momentum carried by the quarks.Comment: LaTeX, 21 page

    Determination of two-photon exchange amplitudes from elastic electron-proton scattering data

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    Using the available cross section and polarization data for elastic electron-proton scattering, we provide an extraction of the two-photon exchange amplitudes at a common value of four-momentum transfer, around Q^2 = 2.5 GeV^2. This analysis also predicts the e^+ p / e^- p elastic scattering cross section ratio, which will be measured by forthcoming experiments.Comment: 4 pages, 5 figures, updated error analysi

    Light-Cone Wavefunction Representation of Deeply Virtual Compton Scattering

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    We give a complete representation of virtual Compton scattering γpγp\gamma^* p \to \gamma p at large initial photon virtuality Q2Q^2 and small momentum transfer squared tt in terms of the light-cone wavefunctions of the target proton. We verify the identities between the skewed parton distributions H(x,ζ,t)H(x,\zeta,t) and E(x,ζ,t)E(x,\zeta,t) which appear in deeply virtual Compton scattering and the corresponding integrands of the Dirac and Pauli form factors F1(t)F_1(t) and F2(t)F_2(t) and the gravitational form factors Aq(t)A_{q}(t) and Bq(t)B_{q}(t) for each quark and anti-quark constituent. We illustrate the general formalism for the case of deeply virtual Compton scattering on the quantum fluctuations of a fermion in quantum electrodynamics at one loop.Comment: References added and minor revisions made in text. Version to appear in Nucl. Phys.

    Twist-3 contribution to the γγππ\gamma^*\gamma\to \pi\pi amplitude in the Wandzura-Wilczek approximation

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    We have calculated the Wandzura-Wilczek contribution to the twist-3 part of γγ2π\gamma^*\gamma\to 2\pi amplitude. It describes interaction of the longitudinally polarized virtual photon with the real one, and it is suppressed by 1/Q, where Q2Q^2 is the virtuality of the γ\gamma^*, as compared to the twist-2 contribution. We have found that, in the Wandzura-Wilczek approximation, factorization applies to the twist-3 amplitude.Comment: 13 pages, 4 figure

    The 63^{63}Ni(n,γ\gamma) cross section measured with DANCE

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    The neutron capture cross section of the s-process branch nucleus 63^{63}Ni affects the abundances of other nuclei in its region, especially 63^{63}Cu and 64^{64}Zn. In order to determine the energy dependent neutron capture cross section in the astrophysical energy region, an experiment at the Los Alamos National Laboratory has been performed using the calorimetric 4π\pi BaF2_2 array DANCE. The (n,γ\gamma) cross section of 63^{63}Ni has been determined relative to the well known 197^{197}Au standard with uncertainties below 15%. Various 63^{63}Ni resonances have been identified based on the Q-value. Furthermore, the s-process sensitivity of the new values was analyzed with the new network calculation tool NETZ.Comment: 11 pages, 13 page
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