论文信息 - Three Dimensional Theory of Electron-Photon Showers

Three Dimensional Theory of Electron-Photon Showers

The method developed by Messel and Green of solving the diffusion equation of the general mixed cascade for the moments of the distribution functions is applied to an electron-photon cascade initiated by a single electron or photon when provision is made for loss of electron energy by ionization. Exact solutions for the Mellin transform of the 2nth angular and 2nth radial moments are given. It is shown that the 2nth radial moment increases asymptotically as n4n and that the radial distribution function is of the form exp (-ar¼) for all but the core of the shower. Numerical results are given for the lower moments and compared with previous results.

H. Messel | B. A. Chartres

[1] H. S. Green,et al. The General Three-Dimensional Theory of Cascade Processes , 1953 .

[2] H. S. Green,et al. THE SPREAD OF THE SOFT COMPONENT OF THE COSMIC RADIATION , 1952 .

[3] H. S. Green,et al. The Angular and Lateral Distribution Functions for the Nucleon Component of the Cosmic Radiation , 1952 .

[4] H. Messel. ON THE NUCLEON CASCADE WITH IONIZATION LOSS , 1951 .

[5] S. Fernbach,et al. ANGULAR AND RADIAL DISTRIBUTIONS OF PARTICLES IN CASCADE SHOWERS , 1951 .

[6] L. Nordheim,et al. The Angular and Lateral Spread of Cosmic-Ray Showers , 1949 .

[7] S. K. Chakrabarty,et al. Further Calculations on the Cascade Theory , 1948 .

[8] S. K. Chakrabarty,et al. The cascade theory with collision loss , 1943, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.