The second Born approximation for electron scattering. I. The high energy limit for small angle elastic scattering from atoms

1978 ◽  
Vol 69 (2) ◽  
pp. 525-537 ◽  
Author(s):  
R. A. Bonham ◽  
S. Konaka
Keyword(s):  
Elastic Scattering ◽  
Electron Scattering ◽  
Small Angle ◽  
Born Approximation ◽  
High Energy ◽  
Energy Limit ◽  
High Energy Limit

Multiple-inelastic phonon, single electron, and valence excitations in high-energy electron scattering

1991 ◽  
Vol 49 ◽  
pp. 1012-1013
Author(s):  
Z. L. Wang
Keyword(s):  
Excited State ◽  
Elastic Scattering ◽  
Electron Scattering ◽  
Small Angle ◽  
Scattering Theory ◽  
Scattered Wave ◽  
High Energy ◽  
Inelastic Electron ◽  
High Energy Electron ◽  
Image Position

In this paper, inelastic scattering theory, as described in Reference 1, is applied to multiple-elastic and -inelastic electron scattering in crystals. Under the small angle approximation, the inelastically scattered wave Ψn of energy En=E-en after exciting the nth crystal excited state can be taken as a position modification to the elastically scattered wave,(1)where Ψn0(r) is the elastic wave of wave vector kn and satisfies the elastic scattering Schrödinger equation,(2)and V = H'nn is the crystal potential; . Under the small angle and forward scattering approximations(3)

QCD to All Orders

2018 ◽  
Author(s):  
John Campbell ◽  
Joey Huston ◽  
Frank Krauss
Keyword(s):  
Transverse Momentum ◽  
Born Approximation ◽  
Parton Shower ◽  
High Energy ◽  
Matrix Elements ◽  
Energy Limit ◽  
High Energy Limit ◽  
Threshold Resummation ◽  
Probabilistic Simulation ◽  
Fixed Order

This chapter centres around the treatment of QCD emissions to all orders. After introductory remarks about the analytic properties of the radiation pattern, some of the most striking phenomenological consequences of non-trivial quantum effects, in particular, the angular ordering property of QCD, are highlighted. Next, analytic resummation techniques are considered, expanding on the treatment of transverse momentum resummation from Chapter 2, and introducing the idea of threshold resummation. BFKL resummation, which resums large logarithms emerging in the high-energy limit, is also introduced. In the second part of this chapter, the probabilistic simulation of QCD radiation through the parton shower is discussed. After a detailed introduction to different schemes and algorithms, the discussion of the combination of the parton shower with fixed-order matrix elements beyond the Born approximation is considered, with a discussion of matching with NLO calculations and the merging with multijet matrix elements.

HIGH ENERGY LIMIT IN QCD

2011 ◽  
Vol 26 (09) ◽  
pp. 603-623
Author(s):  
ANNA M. STASTO
Keyword(s):  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
Heavy Ion Collisions ◽  
Heavy Ion ◽  
High Energy ◽  
Energy Limit ◽  
High Energy Limit ◽  
Ion Collisions ◽  
Small X

We briefly review some selected topics in the small x physics. In particular, we discuss the progress in the problem related to the resummation at small x and the parton saturation phenomena. Finally we discuss some phenomenological applications to deep inelastic scattering, hadron and heavy ion collisions.

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