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Prog. Theor. Phys. Vol. 7 No. 2 (1952) pp. 185-192

On the Theory of Cascade Showers, I

Jun Nishimura and Koichi Kamata^*

Physics Department, Kobe University
^*Scientific Research Institute

(Received December 31, 1951)

Abstract:

The improved mathematical treatment for the calculation of cascade theory is presented. The solution corresponding to a single incident electron derived by this method is identical with that of Snyder and Scott.
The method is mainly due to the principle of analytic continuation but somewhat different from that of Bhabha-Chakrabarty. It is also applicable to other inhomogenuous integro-differential equations and in particular should be useful for further works on cascade theory. For an example, it is shown the lateral and angular distribution functions are derivable analytically by this method.

URL : http://ptp.ipap.jp/link?PTP/7/185/
DOI : 10.1143/PTP.7.185

[ Full Text PDF : FREE ACCESS (523K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. H. J. Bhabha and W. Heitler, Proc. R. Soc. 159 (1937), 432.
2. J. F. Carlson and J. R. Oppenheimer, Phys. Rev. 51 (1937), 220[APS].
3. For example, see Rossi and Greisen; reference (10).
4. See, Snyder; reference (5).
5. H. S. Snyder, Phys. Rev. 76 (1949), 1563[APS].
6. W. T. Scott, Phys. Rev. 80 (1950), 611[APS].
7. S. Z. Belenky, J. Phys. U.S.S.R. 8 (1944), 305.
   J. Nishimura and K. Ida, Prog. Theor. Phys. 6 (1951), 905[PTP].
8. I. B. Bernstein, Phys. Rev. 80 (1950), 995[APS].
9. H. J. Bhabha and S. K. Chakrabarty, Phys. Rev. 74 (1948), 1352[APS].
10. B. Rossi and K. Greisen, Rev. Mod. Phys. 13 (1940), 240[APS].
11. I. Landau and G. Rumer, Proc. R. Soc. 166 (1938), 213.
12. For example, see, G. Moliere, Cosmic Radiation (1946) ed. by W. Heisenberg, Chap. 3.
    J. Roberg and I. W. Nordheim, Phys. Rev. 75 (1949), 444[APS].
    L. L. Eyges and S. Fernbach, Phys. Rev. 82 (1951), 23[APS].
13. L. Landau, J. Phys. U.S.S.R. 3 (1950), 889.
14. J. Nishimura and K. Kamata, Prog. Theor. Phys. 5 (1950), 889[PTP]; ibid. 6 (1951), 262[PTP]; ibid. 6 (1951), 628[PTP].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 11 No. 1 (1954) pp. 95-117 :

   Studies on the Stochastic Problem of Electron-photon Cascades

   Alladi Ramakrishnan and P. M. Mathews

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