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

TL;DR

This paper develops scaling formulas linking stellar parameters to the linewidth and lifetime of solar-like oscillations, validated with Kepler and CoRoT data, revealing dependencies on stellar mass, evolution, and metallicity.

Contribution

The study introduces new scaling relations for oscillation linewidth and lifetime based on fundamental stellar parameters, including metallicity effects.

Findings

Scaling relations accurately reproduce observed lifetimes.

Lifetimes depend on large frequency separation, temperature, and acoustic impedance.

Metallicity influences the mean lifetimes of p-modes.

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.