scholarly journals Optical Potentials and Eikonal Approximations

1972 ◽  
Vol 25 (6) ◽  
pp. 643 ◽  
Author(s):  
W Williamson Jr
Keyword(s):  
Optical Potential ◽  
Free Particle ◽  
Eikonal Approximation ◽  
High Energy ◽  
Target System ◽  
Scattering Approximation ◽  
Intermediate States ◽  
High Energy Scattering ◽  
Particle Propagator

An intermediate and high energy scattering approximation is developed by approximating the sum of intermediate states of the target system and expanding the free particle propagator. The resulting expression plays the role of an optical potential and reduces to the eikonal approximation if the average of the excitation energy for the intermediate states is negligible in comparison with the energy of the incident particle.

scholarly journals SELECTED TOPICS IN HIGH ENERGY SEMI-EXCLUSIVE ELECTRO-NUCLEAR REACTIONS

2001 ◽  
Vol 10 (06) ◽  
pp. 405-457 ◽  
Author(s):  
MISAK M. SARGSIAN
Keyword(s):  
Present Status ◽  
Short Range ◽  
Nuclear Reactions ◽  
Eikonal Approximation ◽  
High Energy ◽  
Glauber Theory ◽  
Nucleon Recoil ◽  
High Energy Scattering ◽  
Nuclear Targets ◽  
Short Range Correlations

We review the present status of the theory of high energy reactions with semi-exclusive nucleon electro-production from nuclear targets. We demonstrate how the increase of transferred energies in these reactions opens a completely new window for study of the microscopic nuclear structure at small distances. The simplifications in theoretical descriptions associated with the increase in the energies are discussed. The theoretical framework for calculation of high energy nuclear reactions based on the effective Feynman diagram rules is described in detail. The result of this approach is the generalized eikonal approximation (GEA), which is reduced to the Glauber approximation when nucleon recoil is neglected. The method of GEA is demonstrated in the calculation of high energy electro-disintegration of the deuteron and A=3 targets. Subsequently, we generalize the obtained formulae for A>3 nuclei. The relation of GEA to the Glauber theory is analyzed. Then, based on the GEA framework we discuss some of the phenomena which can be studied in exclusive reactions: nuclear transparency and short-range correlations in nuclei. We illustrate how light-cone dynamics of high-energy scattering emerge naturally in high energy electro-nuclear reactions.

Hot electron in a polar crystal. I. The eikonal approximation

1976 ◽  
Vol 54 (20) ◽  
pp. 2093-2100
Author(s):  
B. Hede ◽  
T. McMullen
Keyword(s):  
Energy Loss ◽  
Fast Electron ◽  
Quantum Interference ◽  
Eikonal Approximation ◽  
High Energy ◽  
Function Technique ◽  
Hot Electron ◽  
Polar Crystal ◽  
The Individual ◽  
High Energy Scattering

A quantum theory of the rates of momentum and energy loss by a fast electron to the optic modes of a polar crystal as a function of time elapsed since injection of the fast electron is developed. A nonequilibrium Green function technique is used to formulate the problem, and permits inclusion of quantum interference between the individual phonon processes. An approximation, which has been called the eikonal approximation in high energy scattering and is valid when the fractional electron energy loss in a single phonon collision is small, enables us to sum the resulting diagrams. The relationship of this method to a Boltzmann equation approach is discussed.

Analysis of reactions of the type pp → Δ++ + M at 28.5 GeV/c; role of pion exchange in high energy scattering

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

scholarly journals Nonperturbative approach to the parton model

2016 ◽  
Vol 31 (06) ◽  
pp. 1650016 ◽  
Author(s):  
Yu. A. Simonov
Keyword(s):  
Nonperturbative Effects ◽  
Parton Model ◽  
String Tension ◽  
High Energy ◽  
Wave Functions ◽  
Parton Distributions ◽  
Text String ◽  
Preliminary Discussion ◽  
High Energy Scattering

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.

Information stored in high-Q space: Role of high energy scattering

1997 ◽  
Author(s):  
T. Egami ◽  
S. J. L. Billinge ◽  
S. Kycia ◽  
W. Dmowski ◽  
A. S. Eberhardt
Keyword(s):  
High Energy ◽  
High Q ◽  
Energy Scattering ◽  
High Energy Scattering

scholarly journals Study of the High-Energy Scattering Approximation

1986 ◽  
Vol 76 (1) ◽  
pp. 143-156
Author(s):  
Yoshihiko Nishida ◽  
Masaaki Shimauchi
Keyword(s):  
High Energy ◽  
Energy Scattering ◽  
Scattering Approximation ◽  
High Energy Scattering

scholarly journals More on eikonal approximation for high energy scattering

2009 ◽  
Vol 818 (3-4) ◽  
pp. 232-245 ◽  
Author(s):  
Tolga Altinoluk ◽  
Alex Kovner ◽  
Javier Peressutti
Keyword(s):  
Eikonal Approximation ◽  
High Energy ◽  
Energy Scattering ◽  
High Energy Scattering
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