A formalism for cosmic ray propagation studies

Physics – Nuclear Physics

Scientific paper

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Astronomical Models, Continuity Equation, Cosmic Rays, Nuclei (Nuclear Physics), Particle Motion, Charged Particles, Equations Of Motion, Linear Equations, Mathematical Models, Particle Flux Density

Scientific paper

The continuity equation for cosmic ray propagation is used to derive a set of linear equations interrelating the fluxes of multiply charged nuclei as observed at any particular part of the galaxy. The derivation leads to model independent definitions for cosmic ray storage time, mean density of target nuclei and effective mass traversed. The set of equations form a common framework for comparisons of theories and observations. As an illustration, it is shown that there exists a large class of propagation models which give the same result as the exponential path length model. The formalism is shown to accommodate dynamic as well as equilibrium models of production and propagation.

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