Titanium oxide absorption as a proxy to detect long term variation and activity cycle in Proxima Centauri

Stellar activity cycles on magnetically active stars can be estimated by molecular absorption bands. We have previously introduced a molecular index which compares absorptional line strength of the \(TiO\lambda 567nm\) with its nearby continuum has previously been introduced. In this work we use this indicator to evaluation long-term activity variations for Proxima Centauri star, using spectroscopic data from HARPS. The results indicate periodicity with an activity period of \(2873_{-53.9}^{+47.4}\) days, which is similar to the previous measurements from other indicators.