scholarly journals Nonideal effects on inelastic Compton scattering in a nonideal plasma

2002 ◽  
Vol 67 (2-3) ◽  
pp. 175-182 ◽  
Author(s):  
YOUNG-DAE JUNG
Keyword(s):  
Compton Scattering ◽  
Cross Section ◽  
Debye Length ◽  
Transition Matrix Element ◽  
Collective Effects ◽  
Nonideal Plasma ◽  
Collective Effect ◽  
Photon Process ◽  
The Cross ◽  
Hydrogenic Ions

Inelastic Compton scattering of photons by hydrogenic ions in a classical nonideal plasma is investigated. An effective pseudopotential model taking into account plasma screening and collective effects is applied to describe the interaction potential in a nonideal plasma. The screened atomic wave functions and energy eigenvalues for the ground and excited states of the hydrogenic ion in a classical nonideal plasma obtained by the Ritz variational and perturbational methods. The expression for the lowest-order transition matrix element is obtained by a two-photon process associated with terms quadratic in the vector potential A. The inelastic Compton scattering cross-section horn the 1s ground state to the 2p excited state is obtained as a function of the incident photon energy, Debye length, and the non-ideality plasma parameter. It is found that the collective effect reduces the cross-section. The collective effect on the cross-section is decreased with increasing Debye length.

scholarly journals Classical bremsstrahlung radiation from electron–ion encounters in a nonideal plasma

2002 ◽  
Vol 67 (2-3) ◽  
pp. 191-197
Author(s):  
YOUNG-DAE JUNG ◽  
CHANG-GEUN KIM
Keyword(s):  
Cross Section ◽  
Debye Length ◽  
Collective Effects ◽  
Projectile Energy ◽  
Nonideal Plasma ◽  
Bremsstrahlung Radiation ◽  
Hyperbolic Orbit ◽  
Classical Electron ◽  
Bremsstrahlung Process ◽  
Plasma Effect

The classical electron–ion Coulomb bremsstrahlung process is investigated in a nonideal plasma. An effective pseudopotential model taking into account plasma-screening and collective effects is applied to describe the electron-ion interaction potential in a nonideal plasma. The screened hyperbolic-orbit trajectory method is applied to the motion of the projectile electron in order to investigate the bremsstrahlung radiation cross-section as a function of the scaled impact parameter, eccentricity, nonideal-plasma parameter, Debye length, projectile energy, and photon energy. It is found that the collective effect reduces the bremsstrahlung radiation cross-section on both the soft- and hard-photon cases. For small impact parameters, the nonideal-plasma effect on the bremsstrahlung radiation cross-section is found to be quite small. It is also found that the maximum position of the bremsstrahlung radiation cross-section gets closer to the target ion with increasing nonideal-plasma effect.

Collective Effects on the Transition Bremsstrahlung Spectrum due to the Polarization Interaction in Nonideal Plasmas

2009 ◽  
Vol 64 (1-2) ◽  
pp. 49-53
Author(s):  
Hwa-Min Kim ◽  
Young-Dae Jung
Keyword(s):  
Cross Section ◽  
Impact Parameter ◽  
Photon Energy ◽  
Parameter Analysis ◽  
Collective Effects ◽  
Bremsstrahlung Spectrum ◽  
Collective Effect ◽  
Bremsstrahlung Radiation ◽  
Polarization Interaction ◽  
Nonideal Plasmas

The collective effects on the transition bremsstrahlung spectrum due to the polarization interaction between the electron and Debye shielding cloud of an ion are investigated in nonideal plasmas. The impact parameter analysis with the effective pseudopotential model taking into account the nonideal collective and plasma screening effects is applied to obtain the bremsstrahlung radiation cross-section as a function of the nonideality plasma parameter, Debye length, photon energy, and projectile energy. It is shown that the collective effects enhance the bremsstrahlung radiation cross-section and decrease with increasing impact parameter. It is also shown that the collective effect is the most significant near the maximum position of the bremsstrahlung cross-section. In addition, it is shown that the collective effect decreases with an increase of the radiation photon energy

Theories of Compton Scattering by Magnetic Materials

1993 ◽  
Vol 48 (1-2) ◽  
pp. 261-265
Author(s):  
Stephen W. Lovesey
Keyword(s):  
Magnetic Materials ◽  
Compton Scattering ◽  
Cross Section ◽  
Momentum Distribution ◽  
Theoretical Work ◽  
Finite Width ◽  
Exact Results ◽  
The Cross ◽  
Bound Electrons

Abstract Theoretical work on the cross-section for Compton scattering by magnetic materials is surveyed. Exact results for scattering by a free polarized electron are contrasted with corresponding results obtained perturbatively for a model of bound electrons with a finite width to the momentum distribution.

Inelastic Compton scattering of photons by bound atomic electrons in weakly coupled plasmas

2000 ◽  
Vol 64 (1) ◽  
pp. 89-95 ◽  
Author(s):  
YOUNG-DAE JUNG
Keyword(s):  
Compton Scattering ◽  
Cross Section ◽  
Particle Interaction ◽  
Transition Matrix Element ◽  
Scattering Cross Section ◽  
Scattering Cross ◽  
Plasma Screening ◽  
Weakly Coupled ◽  
Atomic Electrons ◽  
Coupled Plasmas

Plasma screening effects on inelastic Compton scattering of photons by bound atomic electrons of hydrogenic target ions in weakly coupled plasmas are investigated. The particle interaction potential in weakly coupled plasmas is obtained using the Debye–Hückel model. The screened wave functions and energy eigenvalues for the ground and excited states of the target ion are obtained using the Ritz variational method. The expression for the lowest-order transition matrix element is obtained from a two-photon process associated with terms quadratic in the vector potential A. The inelastic Compton scattering cross-section from the 1s ground state to the 2p excited state is obtained as a function of the incident photon energy, including plasma screening effects. It is found that plasma screening effects significantly reduce the inelastic Compton scattering cross-section.

An Investigation of the Cross-Section for Magnetic Compton Scattering

1993 ◽  
Vol 62 (5) ◽  
pp. 1716-1722 ◽  
Author(s):  
David N. Timms ◽  
Eugeniusz Zukowski ◽  
Malcolm J. Cooper ◽  
David Laundy ◽  
Stephen P. Collins ◽  
...  
Keyword(s):  
Compton Scattering ◽  
Cross Section ◽  
The Cross

scholarly journals Higher-order kinematical effects in deeply virtual Compton scattering

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Yuxun Guo ◽  
Xiangdong Ji ◽  
Kyle Shiells
Keyword(s):  
Compton Scattering ◽  
Cross Section ◽  
Light Cone ◽  
Form Factors ◽  
Deeply Virtual Compton Scattering ◽  
Virtual Compton Scattering ◽  
Higher Order ◽  
Cross Section Formula ◽  
The Cross ◽  
Compton Form Factors

Abstract We study the deeply virtual Compton scattering cross-section in twist-two generalized parton distribution (GPD) approximation, and show that different choices of light-cone vectors and gauges for the final photon polarization will lead to different higher-order kinematical corrections to the cross-section formula. The choice of light-cone vectors affects kinematic corrections at the twist-three level, accounting for the differences between the cross-section formulas in the literature. On the other hand, kinematical corrections from higher-twist GPDs should eliminate the light-cone dependence at twist three. Those light-cone dependencies are studied systematically at JLab 12 GeV and future EIC kinematics. They serve as the intrinsic systematic uncertainties in extracting the Compton form factors through the cross-section formula. More importantly, they are also necessary for understanding cross-section measurements with higher-twist precision and to reconstruct higher-order Compton form factors.

The cross-section for ionization of O 5+ by electron impact

1963 ◽  
Vol 271 (1346) ◽  
pp. 379-386 ◽  
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Ionization Energy ◽  
Wave Method ◽  
Distorted Wave ◽  
Ionization Cross ◽  
The Cross ◽  
Ionization Cross Sections ◽  
Distorted Wave Method ◽  
Hydrogenic Ions

The calculation of ionization cross-sections is described. For O 5+ a Coulomb-Born-Oppenheimer method is used. Previous calculations for O 4+ with the distorted wave method are corrected and extended. The results are given in tables 1 to 4 and in figure 1. For O 4+ (ionization energy E i — 8·37 x 13·6 eV) the cross-section Q has its maximum at an energy of the incident electron E = 2·3 E i : Q max. = 2·74 x 10 -2 π a 2 0 = 2·42 x 10 -18 cm 2 . For O 5+ ( E i = 10·15 x 13·6 eV) the maximum is at E = 1·85 E i : Q max. = 0·97 x 10 -2 π a 2 0 = 0·86 x 10 -18 cm 2 . The corresponding reduced cross-sections Q red. = ( E i /13·6 eV ) 2 x Q /Kζπ a 2 0 ) are for O 4+ (ζ = 2): Q red. = 0·96, and for O 5+ (ζ = 1): Q red. = 1·00. The results are similar to those of Rudge & Burgess (1962) for hydrogenic ions.

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