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Physics NotePublished

The Nucleon-Air Nuclei Interaction Probability Law With Rising Cross-Section

H. M. Portella; H. Shigueoka; A. S. Gomes; C. E. C. Lima

1998

Publication details

Authors
H. M. Portella; H. Shigueoka; A. S. Gomes; C. E. C. Lima
Type
Physics Note
Status
Published
Publication date
1998
Description
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 with energy of the nucleon-air nuclei cross-section. The interaction probability law for the nucleon in the atmosphere is obtained as a consequence of the respective diffusion equation. If the nucleon-air nuclei cross-section rises logarithmically, this probability law assumes a binomial form, and for the constant cross-section it is purely poissonian. We also compared our calculated nucleon intensity with the measured at sea-level: a good consistency is obtained with an average inelasticity coefficient around 0.60.
Year
1998
Number
CBPF-NF-025/98
Linked to a thesis
No
Linked to a grant
No
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