The dependence of the bound state compton cross section and its infrared behaviour on binding and "off-mass-shell" effects

D. A. Owen; R. Steinitz

doi:10.1016/0375-9601(79)90160-9

The dependence of the bound state compton cross section and its infrared behaviour on binding and "off-mass-shell" effects

D. A. Owen, R. Steinitz

Department of Physics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The Com̀pton scattering cross section from bound electrons is calculated with and without the inclusion of binding and "off-mass-shell" corrections. It is found that these corrections to the forward scattering from electrons in high-Z atoms cannot be neglected. Their inclusion is also needed to obtain consistency with the results of Goldberger and Low for the scattering of ultrahigh-energy photons in the forward direction. The infrared behaviour of the cross section for bound Compton scattering is examined. It is found that the exact Dirac wave functions (i.e. without approximation) and the binding and "off-mass-shell" corrections as found by Owen are needed to insure the infrared convergence of the bound-state Compton cross section.

Original language	English
Pages (from-to)	191-196
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	71
Issue number	2-3
DOIs	https://doi.org/10.1016/0375-9601(79)90160-9
State	Published - 30 Apr 1979

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1016/0375-9601(79)90160-9

Cite this

@article{7ede2c2c37b04a0690f6abc8a9d2141d,

title = "The dependence of the bound state compton cross section and its infrared behaviour on binding and {"}off-mass-shell{"} effects",

abstract = "The Co{\`m}pton scattering cross section from bound electrons is calculated with and without the inclusion of binding and {"}off-mass-shell{"} corrections. It is found that these corrections to the forward scattering from electrons in high-Z atoms cannot be neglected. Their inclusion is also needed to obtain consistency with the results of Goldberger and Low for the scattering of ultrahigh-energy photons in the forward direction. The infrared behaviour of the cross section for bound Compton scattering is examined. It is found that the exact Dirac wave functions (i.e. without approximation) and the binding and {"}off-mass-shell{"} corrections as found by Owen are needed to insure the infrared convergence of the bound-state Compton cross section.",

author = "Owen, {D. A.} and R. Steinitz",

year = "1979",

month = apr,

day = "30",

doi = "10.1016/0375-9601(79)90160-9",

language = "English",

volume = "71",

pages = "191--196",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier B.V.",

number = "2-3",

}

TY - JOUR

T1 - The dependence of the bound state compton cross section and its infrared behaviour on binding and "off-mass-shell" effects

AU - Owen, D. A.

AU - Steinitz, R.

PY - 1979/4/30

Y1 - 1979/4/30

N2 - The Com̀pton scattering cross section from bound electrons is calculated with and without the inclusion of binding and "off-mass-shell" corrections. It is found that these corrections to the forward scattering from electrons in high-Z atoms cannot be neglected. Their inclusion is also needed to obtain consistency with the results of Goldberger and Low for the scattering of ultrahigh-energy photons in the forward direction. The infrared behaviour of the cross section for bound Compton scattering is examined. It is found that the exact Dirac wave functions (i.e. without approximation) and the binding and "off-mass-shell" corrections as found by Owen are needed to insure the infrared convergence of the bound-state Compton cross section.

AB - The Com̀pton scattering cross section from bound electrons is calculated with and without the inclusion of binding and "off-mass-shell" corrections. It is found that these corrections to the forward scattering from electrons in high-Z atoms cannot be neglected. Their inclusion is also needed to obtain consistency with the results of Goldberger and Low for the scattering of ultrahigh-energy photons in the forward direction. The infrared behaviour of the cross section for bound Compton scattering is examined. It is found that the exact Dirac wave functions (i.e. without approximation) and the binding and "off-mass-shell" corrections as found by Owen are needed to insure the infrared convergence of the bound-state Compton cross section.

UR - http://www.scopus.com/inward/record.url?scp=0342811921&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(79)90160-9

DO - 10.1016/0375-9601(79)90160-9

M3 - Article

AN - SCOPUS:0342811921

SN - 0375-9601

VL - 71

SP - 191

EP - 196

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 2-3

ER -

The dependence of the bound state compton cross section and its infrared behaviour on binding and "off-mass-shell" effects

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this