A Bayesian approach to scaling relations for amplitudes of solar-like oscillations in Kepler stars

Abstract

We investigate different amplitude scaling relations adopted for the\nasteroseismology of stars that show solar-like oscillations. Amplitudes are\namong the most challenging asteroseismic quantities to handle because of the\nlarge uncertainties that arise in measuring the background level in the star's\npower spectrum. We present results computed by means of a Bayesian inference on\na sample of 1640 stars observed with Kepler, spanning from main sequence to red\ngiant stars, for 12 models used for amplitude predictions and exploiting\nrecently well-calibrated effective temperatures from SDSS photometry. We test\nthe candidate amplitude scaling relations by means of a Bayesian model\ncomparison. We find the model having a separate dependence upon the mass of the\nstars to be largely the most favored one. The differences among models and the\ndifferences seen in their free parameters from early to late phases of stellar\nevolution are also highlighted.\n