| Summary: | In recent work, the effect of a magnetic field on the line shapes via the modification of electron perturber trajectories was considered. In the present paper we revisit this idea using a variation of the Collision-time Statistics method, in order to account for <inline-formula> <math display="inline"> <semantics> <mrow> <mi>a</mi> <mi>l</mi> <mi>l</mi> </mrow> </semantics> </math> </inline-formula> relevant perturbers. We also obtain line profiles for the hydrogen <inline-formula> <math display="inline"> <semantics> <msub> <mi>L</mi> <mi>α</mi> </msub> </semantics> </math> </inline-formula> line for conditions of astrophysical interest. Although the Collision-time statistics method works for both electrons and ions, we apply a simplification here that results in an excessive number of ions having to be simulated. As a result, the present, simplified version, is typically only appropriate for electrons.
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