EDP Sciences
Open Access
Erratum
This article is an erratum for: [this article]

Issue
A&A
Volume 619, November 2018
Article Number C1
Number of page(s) 3
Section Astrophysical processes
DOI https://doi.org/10.1051/0004-6361/201630169e
Published online 16 November 2018

A sign factor was lacking in the expressions of the redistribution matrix in the case of incomplete Paschen-Back effect, Eqs. (A.1) and (A.6) of Bommier (2017). This sign factor is unity in the absence of incomplete Paschen-Back effect. A (2I + 1) denominator was also missing in Eqs. (A.6) and (40), and some typos occurred in Eq. (A.6). The correct formulæ are provided below.

The corrected Eq. (A.1) is:

(A.1)

The corrected Eq. (A.6) is:

(A.6)

This equation is in excellent agreement as for the Racah algebra with Eq. (30) of Casini et al. (2014). The product of two coefficients is equal to the coefficient of Casini et al. (2014), because these coefficients all result from matrix diagonalization, performed in one step (FS + HFS) in Casini et al. (2014) and in two steps (FS and HFS) in our case. A similar coefficient is visible in Eq. (3.58) of Landi Degl’Innocenti & Landolfi (2004).

The following equation replaces Eq. (40) of Bommier (2017), by introducing the (2I + 1) denominator

(40)

Acknowledgments

The author is very grateful to Ernest Alsina Ballester for having pointed out the errors. Ernest Alsina Ballester redid the calculations in the metalevels formalism (Landi Degl’Innocenti et al. 1997).

References


© ESO 2018

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