Line-depth and Teff variations with the solar cycle

Computer Science

Scientific paper

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Solar Activity Cycles, Effective Temperatures

Scientific paper

We show that the sensitivity of line-depth ratios, used as indicators of Teff variations (δTeff = C0δr/r), are sensibly dependent on surface gravity. We propose a theoretical calibration, including a careful treatment of the convective transport and its dependence on surface gravity (Canuto & Mazzitelli, 1991; Ludwig et al. 1999), which fits very well the stellar observations by Gray & Livingston (1997) of the same lines monitored at Kitt Peak since 1976 (C I 538.032 nm, Fe I 537.958 nm and Ti II 538.103 nm). The immediate consequence is the impossibility of applying the empirical calibration used by Gray & Livingston (1997) to interpret the line variations with the solar cycle, because it was derived from stars of different surface gravity, while in the solar case the value of g remains practically constant. Using our theoretical values of C0, we obtain a Teff variation too large, which would produce almost twice the measured variation of irradiance. However, as already showed by Caccin & Penza (2000), a simultaneous variation of the granulation size of the order of that observed (Muller & Roudier, 1984) might compensate for this excess. Therefore the observed variations of line-depth ratios with the solar cycle might be consistent with a dominant contribution of bright & dark magnetic regions to the total irradiance variations.

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