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Title: Intermediate energy approximation of the Bethe-Heitler formula for the bremsstrahlung cross-sections

Conference · · Natl. Bur. Stand. (U.S.), Spec. Publ.; (United States)
OSTI ID:7290147

Bremsstrahlung cross section calculations are still attracting attention because of the inadequacy of the existing formulae. The Sommerfeld-Elwert formula holds good up to 0.1 MeV. Bethe and Heitler gave a relativistic expression for the bremsstrahlung cross sections using Dirac's electron theory and Born approximation. Coulomb and screening effects were not included in their calculations. Calculations of the bremsstrahlung cross sections using the B-H formula are tedious. Approximations of the B-H formula in the nonrelativistic and extreme relativistic regions exist. But no such approximation is available in the intermediate energy region. An attempt is made to obtain an approximation of the B-H formula in the intermediate energy region. Several approximations are made to reduce the B-H formula into a polynomial in x, the ratio of the photon energy to the total energy of the incident electron. The coefficients of the polynomial turn out to be a long series of terms which are functions of incident electron energy. The validity of the approximate formula in the intermediate energy region will be discussed.

Research Organization:
Univ. of Mysore, India
OSTI ID:
7290147
Journal Information:
Natl. Bur. Stand. (U.S.), Spec. Publ.; (United States), Vol. 461; Conference: International symposium on radiation physics, Calcutta, India, 30 Nov 1974; Other Information: See CONF-741109--
Country of Publication:
United States
Language:
English