Coronal activity in F-, G-, and K-type stars; relations between parameters characterizing stellar structures and X-ray emission

A sample of 52 stars containing dwarfs and giants is subjected to a multidimensional factor analysis. The parameters used are the soft X-ray flux at the stellar surface F_x, the Ca II H+K line-core flux F_H+K, the stellar radius and mass. We find a high correlation between F_x and the Ca II H+K excess flux ΔF_H+K obtained by subtracting an observational lower-limit flux from F_H+K. We conclude that the lower-limit Ca II flux is uncorrelated with the stellar X-ray emission. The common-factor analysis shows that, for the present sample, F_x depends only on ΔF_H+K, and not on the stellar radius or mass. All stars included in our analysis follow the relation F_x ∝ Δ^1.4_H+K over almost four decades in F_x.