Soft-photon emission in extreme-relativistic Compton scattering by K-shell electrons and connection to photoeffect

Published on Aug 1, 2000in Radiation Physics and Chemistry2.858
路 DOI :10.1016/S0969-806X(00)00282-6
Viorica Florescu15
Estimated H-index: 15
(UB: University of Bucharest),
M Gavrila1
Estimated H-index: 1
(Harvard University)
Sources
Abstract
Abstract We have recently obtained cross-sections for Compton scattering by K-shell electrons at extreme-relativistic (ER) energies of the incoming photon. Our method is essentially analytical, and only at the end did it require a modest numerical computation. The results are valid for the Compton line of the scattered photon spectrum, but do not cover the infrared divergence at the soft-photon end of the spectrum. This case is treated in the present paper. The method we apply here is an adaptation of the one used for the Compton line. This allows us to make use of many previous results. The quadruply and doubly differential Compton cross-sections can be expressed in analytical forms which allow factorization of the ER photoeffect cross-sections (differential or total, respectively). This result is shown to be a manifestation of the soft-photon theorem connecting the Compton matrix element at low emitted photon frequencies to that of the photoeffect. The computation of ER Compton cross-sections with soft-photon emission is thereby reduced to that of the cross-sections for the ER photoeffect. We carry out a computation for the latter case and extend previously existing results.
馃摉 Papers frequently viewed together
20201.34viXra
References27
Newest
#1M. E. CouprieH-Index: 1
#2D. NutarelliH-Index: 2
Last. M BillardonH-Index: 1
view all 8 authors...
A collimated tunable gamma-ray beam has been generated by inverse Compton scattering of an additional positron bunch with the Super-ACO storage ring free-electron laser (FEL) positioned inside the optical resonator in the UV range (345-355 nm). This specific novel set-up ensures a natural transverse overlap and synchronization. The tunable gamma-ray beam produced covers the energy range from a few MeV up to 35 MeV, the maximum energy achievable with a FEL. The number of scattered gamma rays is r...
Source
#1Esbaide Adem (UNAM: National Autonomous University of Mexico)H-Index: 17
#2Miguel Avalos-Borja (UNAM: National Autonomous University of Mexico)H-Index: 27
Last. Guillermina Burillo (UNAM: National Autonomous University of Mexico)H-Index: 26
view all 7 authors...
Recycling of polymeric materials is usually accompanied by degradation and deleterious properties. Irradiation crosslinking of recycling low density polyethylene by electron beam and gamma rays could be the solution to improve their properties. This paper presents a comparison on the effects of gamma and electron irradiation on virgin and recycled polyethylene. Their mechanical, thermal and chemical properties were analyzed. VPE samples shown higher crosslinking percentages than RPE samples in a...
Source
#1P. M. Bergstrom (LLNL: Lawrence Livermore National Laboratory)H-Index: 3
#2R. H. Pratt (University of Pittsburgh)H-Index: 34
This paper discusses theoretical approaches for investigating Compton scattering from bound atomic electrons. It particularly emphasizes the understanding of methods currently used to obtain the scattered photon energy distribution at fixed scattering angle. This distribution is dominated by three features: the Compton line or peak, the resonant-Raman-Compton scattering and the infrared divergence at soft scattered photon energies. No single common approximation accesses all three regions, thoug...
Source
#1Vladimir Litvinenko (Duke University)H-Index: 26
#2B. Burnham (Duke University)H-Index: 9
Last. Karl D. Straub (Duke University)H-Index: 4
view all 32 authors...
A nearly monochromatic beam of 100% linearly polarized g rays has been produced via Compton backscattering inside a free electron laser optical cavity. The beam of 12.2 MeV g rays was obtained by backscattering 379.4 nm free-electron laser photons from 500 MeV electrons circulating in a storage ring. A detailed description of the g-ray beam and the outlook for future improvements are presented. [S0031-9007(97)03322-X]
Source
In this paper we present numerical calculations for the process of bound-free electron-positron pair production following photon impact on bare nuclei. The calculations are based on exact Coulomb waves. We include total as well as differential cross sections for production of both K and L electrons for a wide range of photon energies and nuclear charge numbers. Significant deviations from lowest-order Born theory appear for moderate and high charge numbers in both the total cross section and, mo...
Source
#1P.M. BergstromH-Index: 5
#2T. Suri膰H-Index: 6
Last. R. H. PrattH-Index: 34
view all 4 authors...
Compton scattering from bound electrons is studied within external field quantum electrodynamics and the independent-particle approximation (IPA), but without making use of any additional approximations, such as the impulse or incoherent-scattering factor approximations. Our calculations of the doubly differential cross section for scattering of unpolarized and polarized photons from bound atomic electrons as a function of scattered photon energy and angle are based on a numerical evaluation of ...
Source
#1Leonard Rosenberg (NYU: New York University)H-Index: 13
#2Fei Zhou (NYU: New York University)H-Index: 5
Source
#1T. Suri膰 (University of Pittsburgh)H-Index: 6
#2P.M. Bergstrom (University of Pittsburgh)H-Index: 5
Last. R. H. Pratt (University of Pittsburgh)H-Index: 34
view all 4 authors...
We have developed an exact second-order S-matrix code for the relativistic numerical calculation of cross sections for Compton scattering of photons by bound electrons within the independent-particle approximation. We find good agreement with less exact treatments in regions where such theories are valid, recovering the impulse approximation and the soft-photon infrared divergence. We do not find agreement with an earlier calculation of Whittingham. We compare with recent scattering experiments ...
Source
#2M. Gavrila (Fundamental Research on Matter Institute for Atomic and Molecular Physics)H-Index: 8
Source
#1James McEnnan (University of Pittsburgh)H-Index: 5
#2Mihai Gavrila (University of Pittsburgh)H-Index: 1
The radiative corrections to the photoeffect are evaluated for the K-shell of hydrogenlike atoms to lowest order in the radiation field. The corrective matrix element is first discussed within the framework of the bound-state interaction (Furry) picture. We then employ the relativistic Born approximation for the Coulomb Dirac propagator and the final continuum wave function of the electron to obtain an expression which is correct to lowest order in ..cap alpha..Z, provided ..cap alpha..Z/..beta....
Source
Cited By4
Newest
#1Chen-Kai Qiao (CQUT: Chongqing University of Technology)
Last. Lin Chen
view all 3 authors...
The Compton scattering process plays a significant role in atomic, condensed matter, nuclear physics and material science. It could provide us useful information on the electromagnetic interaction between light and matter. Several aspects of many-body physics, such us electronic structures, electron momentum distributions, many-body interactions between bound electrons, and other properties, can be revealed by virtue of Compton scattering experiments. In this work, we give an review on \emph{ab ...
Source
#1Xiaoya Judy Wang (McGill University)H-Index: 1
#2Beatriz MiguelH-Index: 13
view all 4 authors...
We calculate differential and integrated cross sections for the Compton interaction as well as mass attenuation (mu(C)/rho), mass energy-transfer (mutr(C)/rho), and mass energy-absorption (muen/rho) coefficients, within the relativistic impulse approximation (RIA) using Compton profiles (CPs) obtained from unrestricted Hartree--Fock electron densities. We investigate the impact of using molecular as opposed to atomic CPs on dosimetric photon interaction coefficients for air, water and graphite, ...
Source
We examine very high energy Compton scattering on bound electrons, comparing cross sections obtained using relativistic impulse approximation RIA to the extreme relativistic ER limit of the exact Coulomb EC results for the 1s electron. For this purpose, in the case of an initial bound s state, we establish analytic expressions, valid within RIA, for the triply differential cross section TDCS, corresponding to the detection of photons and electrons in coincidence, and for the ER limit of TDCS and...
Source
This website uses cookies.
We use cookies to improve your online experience. By continuing to use our website we assume you agree to the placement of these cookies.
To learn more, you can find in our Privacy Policy.