Origin of the intermediate stable mode region

Determine whether the intermediate region of stable modes between the low-radial-order b4-Scuti unstable region and the higher-radial-order b3-Doradus unstable region is caused primarily by attenuation of low-radial-order g modes in a wide evanescent zone or by the near-surface eigenfunction behavior that suppresses the mode amplitude and prevents efficient convective-blocking excitation.

Background

The paper identifies a stable frequency interval separating the low-radial-order b4-Scuti instability region from the higher-radial-order b3-Doradus instability region. It presents two possible physical explanations. In the first, low-radial-order g modes encounter a broad evanescent region before reaching the excitation layer at the base of the convective envelope; strong attenuation then allows radiative damping to dominate. In the second, the surface pressure perturbation becomes small over the relevant frequency range, reducing the mode amplitude near the surface and weakening excitation by convective flux blocking.

The authors state that both mechanisms are plausible but that their relative contribution cannot currently be distinguished. Resolving this issue would clarify the physical origin of the stable mode gap and improve the interpretation of mode excitation limits in b3-Doradus stars.

References

Both explanations are plausible, and it is not currently possible to distinguish between them; in both cases, the affected modes remain stable.

On the theoretical instability strips of γ-Doradus stars including the effect of the metallicity and rotation  (2608.28136 - Fellay et al., 28 Aug 2026) in Section 2, subsection On the low radial order/period limit