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.

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

BREMSSTRAHLUNG PRODUCTION IN 48-MeV p–p COLLISIONS

1966 ◽  
Vol 44 (6) ◽  
pp. 1225-1237 ◽  
Author(s):  
Robert E. Warner
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Detection Efficiency ◽  
Theoretical Work ◽  
Strong Preference ◽  
Basic Defect ◽  
The Cross

Measurements of the cross section d2σ/dΩ1dΩ2 for the bremsstrahlung reaction p + p → p + p + γ were made with 48 ± 1 MeV incident protons. Both final protons were detected in coincidence at equal angles on either side of the beam and coplanar with the beam, and bremsstrahlung events were identified kinematically. Cross sections of 2.12 ± 0.36 and 3.04 ± 0.44 μb/sterad2 were obtained at 30° and 35°, respectively. Both measured cross sections are smaller than the predictions of Signell and Marker by about a factor of 10; this discrepancy is considered to be well established, since various tests show that our detection efficiency is nearly 100%. It is concluded that further theoretical work, especially predictions of cross sections for noncoplanar events, is needed to determine whether the discrepancy results from a strong preference for coplanar events or from some basic defect in the theory.

On π Production in Nuclei

1971 ◽  
Vol 49 (11) ◽  
pp. 1448-1451 ◽  
Author(s):  
Douglas S. Beder
Keyword(s):  
Quantum Mechanics ◽  
Cross Section ◽  
Momentum Distribution ◽  
Mechanical Treatment ◽  
Quantum Mechanical ◽  
Quantum Mechanical Treatment ◽  
The Cross ◽  
Inhomogeneous Gas ◽  
Classical Picture

The usual expression used for π production in nuclei takes the form one expects of a classical process occurring in an inhomogeneous gas with a specified momentum distribution. In fact, this is shown to be formally inconsistent with quantum mechanics. We therefore establish a consistent quantum mechanical treatment of this problem and examine the cross section predictions of this formalism in appropriate limits. At best, a clumsy justification of the classical picture can be achieved.

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.

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.

Cross section for Compton scattering by polarized bound electrons

1996 ◽  
Vol 53 (3) ◽  
pp. R1213-R1215 ◽  
Author(s):  
F. Bell ◽  
J. Felsteiner ◽  
L. P. Pitaevskii
Keyword(s):  
Compton Scattering ◽  
Cross Section ◽  
Bound Electrons
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