SEMIGROUP THEORY AND DIFFUSION OF HADRONS IN THE ATMOSPHERE

Authors
PORTELLA HM GOMES AS AMATO N MALDONADO RHC
Citation
Hm. Portella et al., SEMIGROUP THEORY AND DIFFUSION OF HADRONS IN THE ATMOSPHERE, Journal of physics. A, mathematical and general, 31(32), 1998, pp. 6861-6872
Citations number
31
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
31
Issue
32
Year of publication
1998
Pages
6861 - 6872
Database
ISI
SICI code
0305-4470(1998)31:32<6861:STADOH>2.0.ZU;2-8
Abstract
We solve the one-dimensional diffusion equation of nucleons and mesons in the atmosphere using the semigroup theory. We show that the genera l solutions become simplified expressions when we assume a power-law d ependence on energy for the pair inelastic cross section, sigma = sigm a(0)E(a) and for the primary energy spectrum, N0E-(gamma+1). Our solut ion is compared with the hadron fluxes of emulsion chamber data: we En d a good consistency with an average inelasticity around 0.63, with th e best fit of the coefficient a = 0.06.