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18 April 2024
 
  » arxiv » 1011.0989

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p, He, and C to Fe cosmic-ray primary fluxes in diffusion models: Source and transport signatures on fluxes and ratios
A. Putze ; D. Maurin ; F. Donato ;
Date 3 Nov 2010
AbstractThe propagated fluxes of proton, helium, and heavier primary cosmic-ray species (up to Fe) are a means to indirectly access the source spectrum of cosmic rays. We check the compatibility of the primary fluxes with the transport parameters derived from the B/C analysis, but also if they bring further constraints. Proton data are well described in the simplest model defined by a power-law source spectrum and plain diffusion. They can also be accommodated by models with, e.g., convection and/or reacceleration. There is no need for breaks in the source spectral indices below $sim 1$ TeV/n. Fits on the primary fluxes alone do not provide physical constraints on the transport parameters. If we let free the source spectrum $dQ/dE = q eta^{eta_S} {cal R}^{-alpha}$ and fix the diffusion coefficient $K(R)= K_0eta^{eta_T} {cal R}^{delta}$ such as to reproduce the B/C ratio, the MCMC analysis constrains the source spectral index $alpha$ to be in the range $2.2-2.5$ for all primary species up to Fe, regardless of the value of the diffusion slope $delta$. The $eta_S$ low-energy shape of the source spectrum is degenerate with the low-energy shape $eta_T$ of the diffusion coefficient: we find $eta_S-eta_Tapprox 0$ for p and He data, but $eta_S-eta_Tapprox 1$ for C to Fe primary species. This is consistent with the toy-model calculation in which the shape of the p/He and C/O to Fe/O data is reproduced if $eta_S-eta_Tapprox 0-1$ (no need for different slopes $alpha$). When plotted as a function of the kinetic energy per nucleon, the low-energy p/He ratio is shaped mostly by the modulation effect, whereas primary/O ratios are mostly shaped by their destruction rate.
Source arXiv, 1011.0989
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