RELATIVISTIC K-SHELL PHOTOEFFECT; Efectul Fotoelectric Relativist in Patura K

Technical Report · Thu Jan 01 04:00:00 EST 1959

OSTI ID:4244271

Gavrila, M

The expressions of the relativistic K-shell photoeffect cross sections, correct to first order in alpha Z (inclusive), are established. For this purpose a second order calculation must be carried out, that is electronic spinors correct to second order in alpha Z must be employed in the matrix element. The final continum state spinor of the electron whose exact analytic form is not known, is described by means of the Born approximation. To avoid the divergences, peculiar to the application of this method to the pure Coulomb field, the case of the screened potential is considered at the beginning. The matrix element, which is evaluated in momentum space. remains singular in the limit of no screening. Nevertheless, it is shown that the differential cross section, as issuing from a very laborious trace evaluation, is in first order finite in this limit and has the behavior one would expect. Indeed, the zero order approximation in alpha Z coincides with Sauter's formula, as it should. Further, in the nonrelativistic and extreme relativistic limits the cross section reduces to results established by other means. (auth)

• Research Organization: Academia R.P.R. Institutul de Fizica Atomica, Bucharest
• NSA Number: NSA-14-001900
• OSTI ID: 4244271
• Report Number(s): IFA/FT/31
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ATOMIC MODELS
BORN APPROXIMATION
CROSS SECTIONS
ELECTRIC FIELDS
ELECTRONS
MATRICES
MOMENTUM
PERTURBATION THEORY
PHOTOELECTRIC EFFECT
PHYSICS
RELATIVITY THEORY
SCATTERING
SHELLS
SPIN
SPINOR
VECTORS