Insensitivity of solar p-mode frequencies to changes in the helium abundance

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Abundance, Acoustic Velocity, Helium, Molecular Weight, Solar Interior, Solar Oscillations, Equations Of State, Heavy Elements, Perturbation Theory, Stellar Evolution, Vibrational Spectra

Scientific paper

P-mode oscillation spectra (l = 0-4; n = 12-30) were calculated for three solar models with helium mass fractions Y = 0.230, 0.235, and 0.240. The solar models were tuned to have the Sun's radius and luminosity by adjusting both the age and the ratio of the mixing length to pressure scale height parameter. The models were identically constrained in all other respects. A 4 percent change in the mass fraction of helium produces less than a 0.1 percent change in the frequencies of the low degree p-modes. This result implies that it will be very difficult to determine the helium abundance of the sun directly from the p-mode oscillation spectrum since the frequencies of the modes are relatively insensitive to changes in the helium abundance.

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