The nucleon-air nucleus interaction probability law with rising cross section
| Autor: | H. Shigueoka, H. M. Portella, C E C Lima, A S Gomes |
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| Rok vydání: | 2001 |
| Předmět: | |
| Zdroj: | Journal of Physics G: Nuclear and Particle Physics. 27:191-201 |
| ISSN: | 1361-6471 0954-3899 |
| Popis: | The diffusion equation of cosmic-ray nucleons is exactly integrated using the successive approximation method for a general distribution of the primary component, and taking into account the rising nucleon-air cross sections with energy. The interaction probability law for the nucleon in the atmosphere is obtained as a consequence of the respective diffusion equation. If the nucleon-air cross sections rise logarithmically, this probability law assumes a binomial form, and for the constant cross section, it is purely Poissonian. The well known approximate solution is compared with our exact solution. It is found that the former always gives a nucleon number greater than ours by, for example, 15-25% in the energy region 30-10 000 GeV at sea level in the case of the mean inelasticity κ = 0.60. It is also shown that a fairly accurate description of nucleon flux at sea level (1030 g cm-2) and hadron intensities at 840 g cm-2 and at 1030 g cm-2 are obtained with κ varying between 0.55 and 0.60. |
| Databáze: | OpenAIRE |
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