The Second-Order Moments of Pressure-broadened Hydrogen Lines in the Quasi-static Approximation

Astronomy and Astrophysics – Astronomy

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Atomic Processes, Plasmas, Line: Profiles, Sun: Prominences

Scientific paper

We provide an approximate formula for the calculation of second-order moments of pressure-broadened hydrogen lines in the quasi-static approximation. Our derivation is based on the results of previous investigations of the algebraic second-order moments of polarized hydrogen lines in the presence of Stark broadening mechanisms. The approximation involved consists in considering a limited spectral range for the estimate of the second-order moment of the line profile. The problem of the formal divergence of the second-order moments of pressure-broadened hydrogen lines because of the infinite contribution from the wings is so avoided. The approximation we present seems to be robust enough for setting up a very direct diagnostics of charged perturber density in low-density plasmas, like solar prominences, based on the analysis of hydrogen line widths, if the conditions for a quasi-static treatment of pressure broadening are sufficiently well verified.

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