Impact Parameter Representations

1972 ◽  
Vol 50 (16) ◽  
pp. 1862-1875 ◽  
Author(s):  
A. N. Kamal
Keyword(s):  
Wave Function ◽  
Impact Parameter ◽  
Momentum Space ◽  
Scattering Amplitude ◽  
Function Approach ◽  
Coordinate Space ◽  
Energy Shell ◽  
Parameter Representation ◽  
The Relationship

A discussion of the Glauber and Blankenbecler–Goldberger impact parameter representation for the scattering amplitude is presented with emphasis on the wave function approach. The treatment makes clear the relationship between the approximations made to derive either of the two amplitudes. Both on-energy-shell and off-energy-shell scatterings are treated. A derivation of the two representations in momentum space is presented bringing out the relationship between the approximations in a coordinate space treatment and the momentum space treatment.

Impact Parameter Representation for Forward and Backward Scattering of Two Particles

1974 ◽  
Vol 52 (9) ◽  
pp. 830-837 ◽  
Author(s):  
J. M. Allerton ◽  
B. S. Bhakar
Keyword(s):  
Impact Parameter ◽  
High Energy ◽  
Energy Limit ◽  
High Energy Limit ◽  
Energy Shell ◽  
Parameter Representation

The Lippman–Schwinger equation is solved to obtain an impact parameter representation for the forward and backward scattering. The Blankenbecler and Goldberger type amplitude is obtained in the high energy limit without any angular restriction. Then, the off energy shell amplitude in the forward and backward cone is obtained, which reduces to Glauber form on the energy shell. Finally, unitarity restriction and the scope of the formalism are discussed.

Multi-Electronic-State Molecular Dynamics:  A Wave Function Approach with Applications

1996 ◽  
Vol 100 (19) ◽  
pp. 7884-7895 ◽  
Author(s):  
Todd J. Martinez ◽  
M. Ben-Nun ◽  
R. D. Levine
Keyword(s):  
Molecular Dynamics ◽  
Wave Function ◽  
Electronic State ◽  
Function Approach

Wave function approach to reaction matrix theory. II

1977 ◽  
Vol 15 (4) ◽  
pp. 1257-1260 ◽  
Author(s):  
B. Talukdar ◽  
N. Mallick ◽  
S. B. Sarkar ◽  
L. Mondal
Keyword(s):  
Wave Function ◽  
Matrix Theory ◽  
Function Approach ◽  
Reaction Matrix

scholarly journals Composing effective prediction at five points

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
John Joseph M. Carrasco ◽  
Laurentiu Rodina ◽  
Suna Zekioğlu
Keyword(s):  
Gauge Theory ◽  
Scattering Amplitude ◽  
Building Blocks ◽  
Tree Level ◽  
Critical Aspect ◽  
Higher Derivative ◽  
Higher Dimensional ◽  
Single Trace ◽  
The Relationship ◽  
Double Copy

Abstract Color-kinematics duality in the adjoint has proven key to the relationship between gauge and gravity theory scattering amplitude predictions. In recent work, we demonstrated that at four-point tree-level, a small number of color-dual EFT building blocks could encode all higher-derivative single-trace massless corrections to gauge and gravity theories compatible with adjoint double-copy. One critical aspect was the trivialization of building higher-derivative color-weights — indeed, it is the mixing of kinematics with non-adjoint-type color-weights (like the permutation-invariant d4) which permits description via adjoint double-copy. Here we find that such ideas clarify the predictions of local five-point higher-dimensional operators as well. We demonstrate how a single scalar building block can be combined with color structures to build higher-derivative color factors that generate, through double copy, the amplitudes associated with higher-derivative gauge-theory operators. These may then be suitably mapped, through another double-copy, to higher-derivative corrections in gravity.

scholarly journals Dipole scattering amplitude in momentum space: investigating fluctuations at HERA

2008 ◽  
Vol 38 (3b) ◽  
pp. 483-486 ◽  
Author(s):  
E. Basso ◽  
M. B. Gay Ducati ◽  
E. G. de Oliveira ◽  
J. T. de Santana Amaral
Keyword(s):  
Momentum Space ◽  
Scattering Amplitude ◽  
Dipole Scattering
Sign in / Sign up

Export Citation Format

Share Document