Angular distribution of cosmic rays in the interplanetary magnetic field

Physics

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Cosmic ray propagation in the interplanetary medium is considered on the basis of kinetic equation describing the scattering of charged particles by magnetic irregularities and their focusing by regular interplanetary magnetic field. The relationship between cosmic ray distribution function and parameters of particle scattering in the interplanetary medium is investigated. Obtained results are applied to the analyses of solar proton events and galactic cosmic ray anisotropy. 1 COSMIC RAY DISTRIBUTION FUNCTION Angular distribution of energetic charged particles contains valuable information about particle scattering in the heliosphere and the geometry of interplanetary magnetic field (IMF) (Bieber and Pomerantz, 1983; Beeck and Wibberenz,1986; Wibberenz and Green, 1988; Hatzky and Wibberenz, 1997). In the present paper the relationship between the distribution function of cosmic rays (CR) and parameters of particle scattering is investigated. The kinetic equation describing CR propagation in the interplanetary medium, can be written as (Earl,1981; Toptygin,1985) ∂f ∂t + vµ ∂f ∂z + v 2ζ (1 - µ2 ) ∂f ∂µ - ∂ ∂µ Dµµ ∂f ∂µ = Q, (1) where f is CR distribution function, Dµµ is the diffusion coefficient in angular space, µ = cos θ and θ is the pitch angle, ς is the focusing length, and z is a coordinate directed along regular magnetic field. The particle source is included in the right hand side of Eq(1). One can present the distribution function as a superposition of isotropic f0 and anisotropic δf(µ) components f(z, µ, t) = 1 2 f0(z, t) + δf(z, µ, t). (2) Assuming that the particle source Q is isotropic and subtracting from Eq.(1) averaged over µ equation, we obtain

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