Rigidity dependence of cosmic ray proton latitudinal gradients measured by the Ulysses spacecraft: Implications for the diffusion tensor

Abstract

Abstract. The latitudinal gradient of cosmic ray protons observed by Ulysses during September 1994 to July 1995 is small, and it increases as function of rigidity up to -0 2 GV and then decreases. Although previous drift models could reproduce the observed small positive gradient for an A > 0 solar polarity cycle, they produced a maximum at a rigidity well below i GV, in contrast to the observations. After exploring various options, it turns out that changing the rigidity dependence of the perpendicular diffusion coefficient (DC) in the polar direction so that it differs from that of the parallel DC is the most effective way to obtain good agreement with data. Specifically, we find that this DC must have a flatter rigidity dependence than the parallel DC in order to reproduce the observed rigidity dependence of the latitudinal gradient of protons during an A > 0 solar polarity cycle. We argue that the present study, combined with studies by other authors, suggests that the perpendicular mean-free path of particles with rigidity R ;• 0.1 GV has a• least two distinct components. One is independent of particle rigidity, and one is proportional to the square of the particle rigidity at low rigidity and fiattens to become almost independent of it at higher rigidity. We also show an example of the rigidity dependence of this gradient that Ulysses might observe during an A < 0 cycle. We point out that the gradient is then more sensitive to modulation parameters than during an A > 0 cycle and could impose stricter constraints on the diffusion tensor.

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“…thus consisting of one component directed along the mean HMF, κ || is taken from Burger et al (2008), and two component perpendicular to it, κ ⊥r/θ is taken from Burger et al (2000). As input for κ || various turbulence quantities are needed, most notable the HMF variance δB 2 .…”

“…The functional form of u D is taken from Burger et al (2000), but assumed to be only 55% effective, based on A&A 522, A35 (2010) the modelling done by Potgieter (1989), Langner et al (2004) and Minnie et al (2007). Neutral sheet drift is due to the heliospheric current sheet (HCS) and as the modulation model is limited to solar minimum conditions, a HCS tilt angle of α = 10 • is assumed.…”

The heliospheric transport and modulation of multiple charged anomalous oxygen revisited

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