Master equation theory applied to the redistribution of polarized radiation in the weak radiation field limit
V. The two-term atom (Corrigendum)
LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Univ. Paris Diderot, Sorbonne Paris Cité 5, Place Jules Janssen, 92190 Meudon, France
e-mail: V.Bommier@obspm.fr
Key words: atomic processes / line: formation / line: profiles / magnetic fields / polarization / errata, addenda
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:
The corrected Eq. (A.6) is:
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
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
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