HD 38858: a solar type star with a $\sim$10.8 yr activity cycle. Searching for Balmer and metallic line variations

TL;DR

This study detects a 10.8-year activity cycle in the star HD 38858, similar to the solar cycle, using spectral line variations, and highlights the potential of Balmer lines and spectral shape indexes for stellar activity monitoring.

Contribution

The paper presents the first detection of a solar-like activity cycle in HD 38858 through Balmer line analysis and introduces spectral shape indexes as reliable activity indicators.

Findings

A 10.8-year activity cycle was detected in HD 38858.

Balmer lines, especially Hα, effectively trace stellar activity cycles.

Spectral shape indexes are more reliable than fluxes for activity detection.

Abstract

Context. The detection of chromospheric activity cycles in solar-analogue and twin stars, can be used to put in context the solar cycle. However, there is a relatively low percentage of these stars with activity cycles detected. It is well known that the cores of Ca II H&K lines are modulated by stellar activity. The behaviour of Balmer and other optical lines with stellar activity is not yet completely understood. Aims. To search for Ca II H&K, Balmer and Fe II line variations modulated by the stellar activity. In particular, we apply a novel strategy to detect possible shape variations in the H{\alpha} line. Methods. We analyse activity signatures in HD 38858 by using HARPS and CASLEO spectra obtained between 2003 and 2017. We calculate the Mount Wilson index (S$_{MW}$), log($\mathrm{R}'_\mathrm{HK}$) and the statistical moments of Ca II H&K, Balmer and other optical lines. We search for periodicities by using the generalized Lomb-Scargle periodogram. Results. We detect a long-term activity cycle of 10.8 yr in Ca II H&K and H{\alpha}, being HD 38858 one of the most similar stars to the Sun for which a cycle has been detected. In contrast, this cycle is marginally detected in the Fe II lines. Also, we detect a noticeable radial velocity variation, which seems to be produced by stellar activity. Conclusions. HD 38858 is the second solar-analogue star where we find a clear activity cycle which is replicated by Balmer lines. Spectral indexes based on the shape of H{\alpha} seems to be more realiable than the fluxes in the same line to detect activity variations. On the other hand, the cyclic modulation detected gives place to a radial velocity variation, previously associated to a super-Earth planet. Finally, due to the similarity of HD 38858 with the Sun, we recommend to continue monitoring this star.