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Testing Scaling Relations for Solar-Like Oscillations from the Main Sequence to Red Giants Using Kepler Data

D. Huber, T. R. Bedding, D. Stello, S. Hekker, S. Mathur, B. Mosser, G. A. Verner, A. Bonanno, D. L. Buzasi, T. L. Campante, Y. Elsworth, S. J. Hale, T. Kallinger, V. Silva Aguirre, W. J. Chaplin, J. De Ridder, R. A. García, T. Appourchaux, S. Frandsen, G. Houdek, J. Molenda-Żakowicz, M. J. P. F. G. Monteiro, J. Christensen-Dalsgaard, R. L. Gilliland, S. D. Kawaler, H. Kjeldsen, A.-M. Broomhall, E. Corsaro, D. Salabert, D. T. Sanderfer, S. E. Seader, J. C. Smith

Abstract
We have analyzed solar-like oscillations in ∼1700 stars observed by the Kepler Mission, spanning from the main-sequence to the red clump. Using evolutionary models, we test asteroseismic scaling relations for the frequency of maximum power (νmax), the large frequency separation (Δν) and oscillation amplitudes. We show that the difference of the Δν-νmax relation for unevolved and evolved stars can be explained by different distributions in effective temperature and stellar mass, in agreement with what is expected from scaling relations. For oscillation amplitudes, we show that neither (L/M)s scaling nor the revised scaling relation by Kjeldsen & Bedding (2011) is accurate for red-giant stars, and demonstrate that a revised scaling relation with a separate luminosity-mass dependence can be used to calculate amplitudes from the main-sequence to red-giants to a precision of ∼25%. The residuals show an offset particularly for unevolved stars, suggesting that an additional physical dependency is necessary to fully reproduce the observed amplitudes. We investigate correlations between amplitudes and stellar activity, and find evidence that the effect of amplitude suppression is most pronounced for subgiant stars. Finally, we test the location of the cool edge of the instability strip in the Hertzsprung-Russell diagram using solar-like oscillations and find the detections in the hottest stars compatible with a domain of hybrid stochastically excited and opacity driven pulsation.

Keywords
stars: late-type - stars: oscillations - techniques: photometric

The Astrophysical Journal
Volume 743, Number 2, Page 143_1
2011 December

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Instituto de Astrofísica e Ciências do Espaço Universidade do Porto Faculdade de Ciências da Universidade de Lisboa
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia