On trace‐class operators of scattering theory and the asymptotic behavior of scattering cross section at high energy

1973 ◽  
Vol 14 (8) ◽  
pp. 997-1005 ◽  
Author(s):  
Ph. Martin ◽  
B. Misra
Keyword(s):  
Asymptotic Behavior ◽  
Cross Section ◽  
Scattering Theory ◽  
Trace Class ◽  
High Energy ◽  
Scattering Cross Section ◽  
Scattering Cross ◽  
Trace Class Operators

Resonant emission of hard gamma-quanta at scattering of ultrarelativistic electrons on a nucleus within the external light field

2020 ◽  
Vol 35 (03) ◽  
pp. 2040024 ◽  
Author(s):  
Alexander Dubov ◽  
Victor V. Dubov ◽  
Sergei P. Roshchupkin
Keyword(s):  
Cross Section ◽  
Gamma Quantum ◽  
External Electromagnetic Field ◽  
High Energy ◽  
Scattering Cross Section ◽  
Photon Radiation ◽  
Order Effects ◽  
Data Simulation ◽  
Scattering Cross ◽  
Resonant Emission

The contemporary theoretical investigation researches the resonant emission of high-energy gamma-quanta within the process of scattering of ultrarelativistic electrons on a nucleus in the external electromagnetic field. With implementation of the resonant conditions under the field ambience the particle in the intermediate state re-modulates into the real form. Therefore, the phenomenon examination determines the functional splitting of the second order process into a pair of first-order effects that possess a possibility to develop within two reaction channels. Consequently, the first channel characterizes the kinematics of electron scattering by a nucleus and following radiation of a spontaneous gamma-quantum. The second channel delineates the spontaneous gamma-quantum radiation by an electron with subsequent scattering on a nucleus. It is important to emphasize that within a specific range of observation the calculations derive three discrete magnitudes for the resonant frequency dependency on the angle of spontaneous photon radiation. As a result, the work represents an estimation of the resonant differential scattering cross-section in ratio to the scattering cross-section computed without the external field. In conclusion, various scientific facilities may verify the project data simulation (SLAC, FAIR, XFEL, ELI, XCELS).

Mie Scattering Theory for Phonon Transport in Particulate Media

2004 ◽  
Vol 126 (5) ◽  
pp. 793-804 ◽  
Author(s):  
Ravi S. Prasher
Keyword(s):  
Cross Section ◽  
Scattering Theory ◽  
Mode Conversion ◽  
Mie Scattering ◽  
Phonon Transport ◽  
Scattering Cross Section ◽  
Particulate Media ◽  
Scattering Cross ◽  
Transport Cross Section ◽  
Mie Scattering Theory

Scattering theory for the scattering of phonons by particulate scatterers is developed in this paper. Recently the author introduced the generalized equation of phonon radiative transport (GEPRT) in particulate media, which included a phase function to account for the anisotropic scattering of phonons by particulate scatterer. Solution of the GEPRT showed that scattering cross section is different from the thermal transport cross-section. In this paper formulations for the scattering and transport cross section for horizontally shear (SH) wave phonon or transverse wave phonon without mode conversion is developed. The development of the theory of scattering and the transport cross section is exactly analogous to the Mie scattering theory for photon transport in particulate media. Results show that transport cross section is very different from the scattering cross section. The theory of phonon scattering developed in this paper will be useful for the predictive modeling of thermal conductivity of practical systems, such as nanocomposites, nano-micro-particle-laden systems, etc.

scholarly journals Elliptically polarized laser assisted elastic electron-hydrogen atom collision and differential scattering cross-section

2020 ◽  
pp. 93-102
Author(s):  
Kishori Yadav ◽  
S.P. Gupta ◽  
J.J. Nakarmi
Keyword(s):  
Hydrogen Atom ◽  
Kinetic Energy ◽  
Cross Section ◽  
Laser Field ◽  
High Energy ◽  
Scattering Cross Section ◽  
Hydrogen Atoms ◽  
Differential Scattering Cross Section ◽  
Scattering Cross ◽  
Cross Section Area

In the present study, we have investigated scattering of an electron by hydrogen atoms in the presence of the elliptical polarized laser field. We have discussed the polarization effect of laser field on hydrogen atom and effect of the resulted polarized potential on differential scattering cross-section is studied. We assume the scattered electrons having kinetic energy (~3000 eV) and laser field of moderate field strength because it is permitted to treat the scattering process in first Born approximation and the scattering electron was described by Volkov wave function. We found that the differential scattering cross-section area increases with the increase of the kinetic energy of the incident electron and there is no effect of changing the value of polarizing angle on the differential cross-section with kinetic energy. We observed that differential scattering cross-section in elliptical polarization in the high energy region depends upon the laser intensity and the incident energy for a linearly polarized field.

Ultra-high energy neutrino-nucleon scattering and gluon saturation

2018 ◽  
Vol 27 (12) ◽  
pp. 1840006
Author(s):  
Jamal Jalilian-Marian
Keyword(s):  
Cross Section ◽  
Evolution Equations ◽  
High Energy ◽  
Scattering Cross Section ◽  
Dglap Evolution ◽  
Ultra High Energy ◽  
Nucleon Scattering ◽  
High Energy Neutrino ◽  
Scattering Cross ◽  
Gluon Saturation

Ultra-high energy neutrinos are an enigma; among their many poorly understood aspects are their origins and how they interact with nucleons when they reach the Earth. Due to the hard scale ([Formula: see text]) involved in neutrino-nucleon scattering and for a large range of neutrino energies, it is appropriate to describe the target nucleon in terms of its partons — quarks and gluons — and their evolution with [Formula: see text] as governed by the Dokshitzer–Gribov–Lipatov–Altarelli–Parisi (DGLAP) evolution equations of perturbative Quantum ChromoDynamics (pQCD). Nevertheless, at the highest neutrino energies, the scattering cross-section is dominated by the contribution of small [Formula: see text] gluons of the target where one expects DGLAP evolution equations to break down due to high gluon density effects (gluon saturation). Here, we give a brief overview of gluon saturation physics in QCD and its effects on ultra-high energy neutrino-nucleon (nucleus) scattering cross-section.

Scattering of Phonons by Nano and Micro Particles

2004 ◽  
Author(s):  
Ravi S. Prasher
Keyword(s):  
Cross Section ◽  
Scattering Theory ◽  
Phonon Scattering ◽  
Mode Conversion ◽  
Mie Scattering ◽  
Scattering Cross Section ◽  
Particulate Media ◽  
Scattering Cross ◽  
Transport Cross Section ◽  
Micro Particles

Scattering theory for the scattering of phonons by particulate scatterers is developed in this paper. Recently the author introduced the generalized equation of phonon radiative transport (GEPRT) in particulate media which included a phase function to account for the anisotropic scattering of phonons by particulate scatterer. Solution of the GEPRT showed that scattering cross section is different than the thermal transport cross section. In this paper formulations for the scattering and transport cross section for horizontally shear (SH) wave phonon or transverse wave phonon without mode conversion is developed. The development of the theory of scattering and the transport cross section is exactly analogous to the Mie scattering theory for photon transport in particulate media. Results show that transport cross section is very different than the scattering cross section. It is also shown that for SH (horizontally shear) phonons the scattering and transport cross sections are proportional to ω8 rather than the well accepted value of ω4 in the Rayleigh regime where ω is the frequency of the SH phonons. The theory of phonon scattering developed in this paper will be useful for the predictive modeling of thermal conductivity of practical systems such as nano composites, nano-micro particle laden systems and etc.

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