High-Energy Scattering Amplitude in Perturbation Theory

1963 ◽  
Vol 132 (6) ◽  
pp. 2741-2748 ◽  
Author(s):  
T. L. Trueman ◽  
T. Yao
Keyword(s):  
Perturbation Theory ◽  
Scattering Amplitude ◽  
High Energy ◽  
Energy Scattering ◽  
High Energy Scattering

scholarly journals High energy scattering of Dirac particles on smooth potentials

2016 ◽  
Vol 31 (23) ◽  
pp. 1650126 ◽  
Author(s):  
Nguyen Suan Han ◽  
Le Anh Dung ◽  
Nguyen Nhu Xuan ◽  
Vu Toan Thang
Keyword(s):  
Dirac Equation ◽  
Cross Sections ◽  
Differential Cross ◽  
Scattering Amplitude ◽  
High Energy ◽  
Type Representation ◽  
Dirac Particles ◽  
Energy Scattering ◽  
Two Component ◽  
High Energy Scattering

The derivation of the Glauber type representation for the high energy scattering amplitude of particles of spin 1/2 is given within the framework of the Dirac equation in the Foldy–Wouthuysen (FW) representation and two-component formalism. The differential cross-sections on the Yukawa and Gaussian potentials are also considered and discussed.

New Upper Bound for the High-Energy Scattering Amplitude

1963 ◽  
Vol 11 (3) ◽  
pp. 138-138
Author(s):  
T. Kinoshita ◽  
J. J. Loeffel ◽  
A. Martin
Keyword(s):  
Upper Bound ◽  
Scattering Amplitude ◽  
High Energy ◽  
Energy Scattering ◽  
High Energy Scattering

scholarly journals The contribution of effective quantum gravity to the high energy scattering in the framework of modified perturbation theory and one loop approximation

2019 ◽  
Vol 79 (10) ◽  
Author(s):  
Nguyen Suan Han ◽  
Do Thu Ha ◽  
Nguyen Nhu Xuan
Keyword(s):  
Perturbation Theory ◽  
Quantum Gravity ◽  
Scattering Amplitude ◽  
High Energy ◽  
Effective Theory ◽  
Potential Equation ◽  
Scalar Particles ◽  
Loop Approximation ◽  
The One ◽  
High Energy Scattering

Abstract The asymptotic behavior of the scattering amplitude for two scalar particles at high energies with fixed momentum transfers is studied. The study is done within the effective theory of quantum gravity based on quasi-potential equation. By using the modified perturbation theory, a systematic method is developed to find the leading eikonal scattering amplitudes together with corrections to them in the one-loop gravitational approximation. The relation is established and discussed between the solutions obtained by means of the operator and functional approaches applied to quasi-potential equation. The first non-leading corrections to the leading eikonal amplitude are found.

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