Convection and Overshoot in models of gamma Doradus and delta Scuti stars

TL;DR

This study models gamma Doradus and delta Scuti stars to analyze how rotation and convective overshoot influence their pulsation patterns, offering methods to observationally constrain stellar interior processes.

Contribution

It introduces a grid of stellar models including rotation and overshoot effects, and demonstrates how pulsation patterns can constrain these internal stellar parameters.

Findings

Observable g mode period spacings can constrain overshoot and rotation.

Variation in pulsation constant Q helps estimate overshoot and rotation.

Applied method to 22 delta Scuti stars to estimate overshoot.

Abstract

We investigate the pulsation properties of stellar models representative of $\delta$ Scuti and $\gamma$ Doradus variables. We have calculated a grid of stellar models from 1.2 to 2.2 M$_{\odot}$, including the effects of both rotation and convective overshoot using MESA, and we investigate the pulsation properties of these models using GYRE. We discuss observable patterns in the frequency spacing for $p$ modes and the period spacings for g modes. Using the observable patterns in g mode period spacings, it may be possible to observationally constrain the convective overshoot and rotation of a model. We also calculate the pulsation constant (Q) for all models in our grid, and investigate the variation with convective overshoot and rotation. The variation in Q values of radial modes can be used to place constraints on the convective overshoot and rotation of stars in this region. As a test case, we apply this method to a sample of 22 high amplitude $\delta$ Scuti stars (HADS), and provide estimates for the convective overshoot of the sample.