Estimating The Mean Linewidth And Lifetime of Solar-like Oscillations of Stars

Abstract

\textbf{Scaling formulas were} deduced to describe the relations between the fundamental stellar parameters and the mean \textbf{linewidth and lifetime} of solar-like oscillations of stars. The mean \textbf{linewidth and} lifetime of solar-like oscillations \textbf{are dependent on the large frequency separation, the effective temperature, and the acoustic impedance ($\rho c$) in the photosphere} of stars. The mean lifetime \textbf{can be} approximate to the lifetime of the mode with $\nu\sim\nu_{max}$. We compared the results of the scaling relations with the mean lifetimes of solar-like oscillations of stars observed by \textit{Kepler} and \textit{CoRoT}, which shows that the observed mean lifetimes are reproduced well by the scaling relations. The dependence of the mean lifetime on \textbf{the} large frequency separation, the effective temperature, and the acoustic impedance of stars \textbf{indicates} that lifetimes of solar-like oscillations rely on the mass and evolutionary phase of stars. Moreover, our calculations show that the mean lifetimes of $p$-modes of stars can be affected by metallicity abundances.