scholarly journals Nonperturbative approach to the parton model

2016 ◽  
Vol 31 (06) ◽  
pp. 1650016 ◽  
Author(s):  
Yu. A. Simonov

In this paper, the nonperturbative parton distributions, obtained from the Lorentz contracted wave functions, are analyzed in the formalism of many-particle Fock components and their properties are compared to the standard perturbative distributions. We show that the collinear and IR divergencies specific for perturbative evolution treatment are absent in the nonperturbative version, however for large momenta [Formula: see text] (string tension), the bremsstrahlung kinematics is restored. A preliminary discussion of possible nonperturbative effects in DIS and high energy scattering is given, including in particular a possible role of multihybrid states in creating ridge-type effects.

2003 ◽  
Vol 18 (04) ◽  
pp. 673-683
Author(s):  
M. T. HUSSEIN ◽  
N. M. HASSAN ◽  
W. ELHARBI

The multi-particle productions in neutrino–nucleon collisions at high energy are investigated through the analysis of the data of the experiment CERN-WA-025 at neutrino energy less than 260 GeV and the experiments FNAL-616 and FNAL-701 at energy range 120–250 GeV. The general features of these experiments are used as base to build a hypothetical model that views the reaction through a Feynman diagram of two vertices. The first of which concerns the weak interaction between the neutrino and the quark constituents of the nucleon. At the second vertex, a strong color field is assumed to play the role of particle production, which depend on the momentum transferred from the first vertex. The wave functions of the nucleon constituent quarks are determined using the variation method and relevant boundary conditions are applied to calculate the deep inelastic cross sections of the virtual diagram.


2008 ◽  
Vol 664 (1-2) ◽  
pp. 133-138 ◽  
Author(s):  
M. Glück ◽  
P. Jimenez-Delgado ◽  
E. Reya ◽  
C. Schuck

1970 ◽  
Vol 32 (2) ◽  
pp. 140-144 ◽  
Author(s):  
W.E. Ellis ◽  
R.R. Kinsey ◽  
T.W. Morris ◽  
R.S. Panvini

The variation method is employed to calculate the binding energy of the triton assuming charge-independent, two-body, Yukawa shape interactions between nucleons in which tensor forces are included. More complete trial wave functions are used than employed hitherto in such calculations, and it is found that an interaction of Yukawa shape with constants adjusted to fit the observed data on the binding energy, quadrupole moment and magnetic moment of the deuteron, the low-energy and high-energy scattering of neutrons by protons, the photodisintegration of the deuteron and the coherent scattering of slow neutrons gives an approximately correct binding energy for the triton. Calculations are also carried out with interactions of the same type but with different constants. The exchange character of the forces remains unimportant. It is confirmed that the difference in the binding energies of 3 H and 3 He can be ascribed to the effect of Coulomb repulsion between the protons in the latter nucleus. The wave functions found are used to compute the magnetic moments of the two nuclei but do not contain sufficient admixture of P component to explain the observed values.


2003 ◽  
Vol 18 (08) ◽  
pp. 1391-1395 ◽  
Author(s):  
A. I. SIGNAL

Model calculations of parton distributions are an important way to connect our knowledge of physics at high energy scales with physics at lower energy scales typical of nuclear physics. Earlier work on the spin-independent valence quark distributions has shown that DIS data support a bag radius around 0.8 fm, and highlighted the importance of chiral symmetry and the role of the pion cloud in nucleon structure. Here, that work is extended to the spin-dependent parton distributions. We calculate these distributions in the model and compare with experimental data.


2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
António Antunes ◽  
Miguel S. Costa ◽  
Tobias Hansen ◽  
Aaditya Salgarkar ◽  
Sourav Sarkar

Abstract We derive an optical theorem for perturbative CFTs which computes the double discontinuity of conformal correlators from the single discontinuities of lower order correlators, in analogy with the optical theorem for flat space scattering amplitudes. The theorem takes a purely multiplicative form in the CFT impact parameter representation used to describe high-energy scattering in the dual AdS theory. We use this result to study four-point correlation functions that are dominated in the Regge limit by the exchange of the graviton Regge trajectory (Pomeron) in the dual theory. At one-loop the scattering is dominated by double Pomeron exchange and receives contributions from tidal excitations of the scattering states which are efficiently described by an AdS vertex function, in close analogy with the known Regge limit result for one-loop string scattering in flat space at finite string tension. We compare the flat space limit of the conformal correlator to the flat space results and thus derive constraints on the one-loop vertex function for type IIB strings in AdS and also on general spinning tree level type IIB amplitudes in AdS.


2007 ◽  
Vol 16 (09) ◽  
pp. 2595-2637 ◽  
Author(s):  
FRANÇOIS GELIS ◽  
TUOMAS LAPPI ◽  
RAJU VENUGOPALAN

In this series of three lectures, we discuss several aspects of high energy scattering among hadrons in Quantum Chromodynamics. The first lecture is devoted to a description of the parton model, Bjorken scaling and the scaling violations due to the evolution of parton distributions with the transverse resolution scale. The second lecture describes parton evolution at small momentum fraction x, the phenomenon of gluon saturation and the Color Glass Condensate (CGC). In the third lecture, we present the application of the CGC to the study of high energy hadronic collisions, with emphasis on nucleus-nucleus collisions. In particular, we provide the outline of a proof of high energy factorization for inclusive gluon production.


1997 ◽  
Author(s):  
T. Egami ◽  
S. J. L. Billinge ◽  
S. Kycia ◽  
W. Dmowski ◽  
A. S. Eberhardt

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