Cosmic-ray propagation in molecular clouds
Marco Padovani (1), Daniele Galli (2) ((1) Laboratoire de, Radioastronomie Millim\'etrique, \'Ecole Normale Sup\'erieure et Observatoire, de Paris, France, (2) INAF-Osservatorio Astrofisico di Arcetri, Italy)

TL;DR
This paper investigates how cosmic rays penetrate molecular clouds, affecting ionisation rates, by considering cosmic-ray spectra, magnetic effects, and cloud properties, revealing that magnetic mirroring significantly reduces ionisation.
Contribution
It provides a detailed calculation of cosmic-ray ionisation rates in molecular clouds, incorporating magnetic focusing and mirroring effects, and clarifies the impact of low-energy cosmic rays.
Findings
Magnetic mirroring reduces ionisation rates by a factor of 3-4.
Low-energy cosmic rays are responsible for ionisation in clouds.
Attenuation of cosmic-ray flux depends on magnetic field configuration.
Abstract
Cosmic-rays constitute the main ionising and heating agent in dense, starless, molecular cloud cores. We reexamine the physical quantities necessary to determine the cosmic-ray ionisation rate (especially the cosmic ray spectrum at E < 1 GeV and the ionisation cross sections), and calculate the ionisation rate as a function of the column density of molecular hydrogen. Available data support the existence of a low-energy component (below about 100 MeV) of cosmic-ray electrons or protons responsible for the ionisation of diffuse and dense clouds. We also compute the attenuation of the cosmic-ray flux rate in a cloud core taking into account magnetic focusing and magnetic mirroring, following the propagation of cosmic rays along flux tubes enclosing different amount of mass and mass-to-flux ratios. We find that mirroring always dominates over focusing, implying a reduction of the…
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