The frequency separations of stellar p-modes

Abstract

Aims. The purpose of this work is to investigate a new frequency separation of stellar p-modes and its characteristics. Methods. Frequency separations are deduced from the asymptotic formula of stellar p-modes. Then, using the theoretical adiabatic frequencies of stellar model, we compute the frequency separations. Results. A new separation ${\sigma }_{l-1l+1}(n)$, which is similar to the scaled small separation $d_{ll+2}(n)/(2l+3)$, is obtained from the asymptotic formula of stellar p-modes. The separations ${\sigma }_{l-1l+1}(n)$ and $d_{ll+2}(n)/(2l+3)$ have the same order. And like the small separation, ${\sigma }_{l-1l+1}(n)$ is mainly sensitive to the conditions in the stellar core. However, with the decrease of the central hydrogen abundance of stars, the ${\sigma }_{02}$ and ${\sigma }_{13}$ more and more deviate from the scaled small separation. This characteristic could be used to extract the information on the central hydrogen abundance of stars.

Accepted for Publication in A&A, 8 pages, 5 figures

References in corpus (13)

• Element Diffusion in the Solar Interior
• The diameters of Alpha Centauri A and B - A comparison of the asteroseismic and VINCI/VLTI views
• Constraining the difference in convective blueshift between the components of alpha Cen with precise radial velocities
• P-mode observations on Alpha Cen A
• Oscillation frequencies and mode lifetimes in alpha Centauri A
• The acoustic spectrum of alpha Cen A
• Asteroseismology and calibration of alpha Cen binary system
• Evidence for solar-like oscillations in beta Hydri
• Analysis of alpha Centauri AB including seismic constraints
• Asteroseismic diagrams for solar-type stars
• Asteroseismic Diagnostics of Stellar Convective Cores
• Asteroseismic Signatures of Helium gradients in Main-Sequence A Stars ; Application to the roAp Star HD60435
• Asteroseismic signatures of helium gradients in late F-type stars

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