Pitch angle dependence of the charge-exchange lifetime of ring current ions

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Previous work has parameterized the pitch angle dependence of the charge-exchange lifetime τ of ring current ions in terms of γ, the power of the cosine of the mirror latitude λm of the particles, such that τ(λm)/τ(0) ≌cosγ λm at given L. Using the atomic hydrogen density model of Johnson and Fish, previous authors have suggested values of γ = 5 or 6. We here evaluate γ as a function of λm and L using the more recent Chamberlain density models, and show that γ = 3-4 is more appropriate over most of the pitch angle and L range. Consequently, ion distributions in the ring current decay phase are expected to become rather less anisotropic in pitch angle due to charge exchange than previously believed. We have also investigated the use of several other simple approximate analytic forms for τ(λm)/τ(0), one of which gives far better agreement with the numerical results than the cosγ λm, variation, and should hence be used in future studies.

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