GENERAL ANALYTIC SOLUTIONS OF THE THREE DIMENSIONAL ELECTRON SHOWER EQUATIONS IN THE NON-HOMOGENEOUS MEDIUM

PENG SHOU-LI; ZHAO SHU-SONG

Chinese Physics C> 1981, Vol. 5> Issue(1) : 47-54

GENERAL ANALYTIC SOLUTIONS OF THE THREE DIMENSIONAL ELECTRON SHOWER EQUATIONS IN THE NON-HOMOGENEOUS MEDIUM

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Abstract：
An complex convolution method was introduced. Using this method the exact solutions of the three-dimensional electron shower equation in the non-homogeneous medium in which the density distribution function was continuous or finite discontinuous are obtained. These solutions included the approximation A and approximation B, the homogeneous and non-homogeneous medium case. Thus, the Nishimura-Kamata's classical results are extended.

References

[1]

J. Niahimura, Handbuch Der Phyaik, Vol. XLVI/2, p. 1-113, ed. by A, aitte, Springer-verlag, 1967[2] H. S. Green et al., P. R., 88 (1952), 331;V. V. Guzhavin et al., Proc. 12th ICRC (1971), EAS-23.[3] V. A. Astafiev, Proc. 15th ICRC (1977), EA8-448.[4」钾晓夫等,东京大学宇宙线实验预印本,CR.L Report-86-76-3.[5] H. Oda et al., P. T. P., 54 (1975), 1720.[6] 贾桂斌、彭守礼、赵树松,"非均匀介质中电磁级联传播的物理修正效应"(未发表).[7] 彭守礼、赵树松,三维电磁级联的Moliexe近似方程的精确解析解(内部报告).[8] 彭守礼、贾桂斌、赵树松、屈超纯,全国第一届宇宙线超高能物理会议文集,1集(1978), 86.[9] В. В. Гужавин, И. П. Иваненко, ЖЗТФ. 40 (1961), 1682.[10] M. Dishon, G. H. Weiss, J. Conaputa Phys.,28(1978), 129.

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PENG SHOU-LI and ZHAO SHU-SONG. GENERAL ANALYTIC SOLUTIONS OF THE THREE DIMENSIONAL ELECTRON SHOWER EQUATIONS IN THE NON-HOMOGENEOUS MEDIUM[J]. Chinese Physics C, 1981, 5(1): 47-54.

PENG SHOU-LI and ZHAO SHU-SONG. GENERAL ANALYTIC SOLUTIONS OF THE THREE DIMENSIONAL ELECTRON SHOWER EQUATIONS IN THE NON-HOMOGENEOUS MEDIUM[J]. Chinese Physics C, 1981, 5(1): 47-54. shu

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Received: 1979-11-27
Revised: 1900-01-01

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