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Angular Distribution in Electron-Photon Showers without the Landau Approximation
Phys. Rev. 104, 517 – Published 15 October, 1956
DOI: https://doi.org/10.1103/PhysRev.104.517
Abstract
The track-length angular distribution of electrons in an electron-photon cascade is calculated without the use of the Landau approximation which was invariably used in all previous work. The Tamm-Belenky model of the cascade is used. The results are presented in the form of a series, the first term of which is of the same form as the result yielded by the Landau approximation but with a modified value of the parameter .
It is shown that the use of the Landau approximation introduces large errors not only for large values of the argument but for small values as well. The bearing of this result on previous theoretical work on the lateral distribution function is discussed.
References (13)
- G. Molière, Naturwiss. 30, 87 (1942) Cosmic Radiation, edited by W. Heisenberg (Dover Publications, New York, 1946), Chap. 3, p. 26
- S. Belenky, J. Phys. (U.S.S.R.) 8, 347 (1944)
- J. Nishimura and K. Kamata, Progr. Theoret. Phys. (Japan) 6, 262 and 628 (1951)
- L. Eyges and S. Fernbach, Phys. Rev. 82, 123 (1951)
- M. H. Kalos and J. M. Blatt, Australian J. Phys. 7, 543 (1954)
- H. S. Snyder and W. T. Scott, Phys. Rev. 76, 220 (1949)
- G. Molière, Z. Naturforsch. 3A, 78 (1948)
- I. Tamm and S. Belenky, J. Phys. (U.S.S.R.) 1, 177 (1939)
- B. Rossi and K. Greisen, Revs. Modern Phys. 13, 240 (1941)
- B. A. Chartres and H. Messel, Proc. Phys. Soc. (London) A67, 158 (1954)
- S. Goudsmit and J. L. Saunderson, Phys. Rev. 57, 24 (1940)
- G. N. Watson, Bessel Functions (Cambridge University Press, Cambridge, 1952), second edition, p. 78
- H. A. Bethe, Phys. Rev. 89, 1256 (1953)