Table 1.
Summary of the assumptions considered in the analytical model for the subgiant and the red giant branches.
| Evanescent region | Type-a | Transition regime | Type-b |
|---|---|---|---|
| Evolutionary state | Subgiant and young red giant | Red giant | Evolved red giant |
| 𝒩 and 𝒮1 |
 |
Mixed |
 |
| 𝒩b and 𝒮b | 𝒩b, 𝒮b < 2πν | 𝒩b < 2πν < 𝒮b | 2πν < 𝒩b, 𝒮b |
| Location of r1, r2 | r1, r2 < rb | r1 < rb < r2 | r1 = rb < r2 |
| β and J | β = 3J/2 | Mixed | J ≈ J(rb)≈1 |
| Coupling formalism | Very thin (T16) or thick (S79) | Thick (S79) | Thick (S79) |
Notes. S79 and T16 denote the formalisms of Shibahashi (1979) and Takata (2016a), respectively. The value of the (modified) Brunt–Väisälä and Lamb frequencies just below the base of the convective region are denoted with 𝒩b and 𝒮b, respectively. “Mixed” means an evanescent region with a Type-a regime for r1 < r < rb and a Type-b regime for rb < r < r2, where r is the radius inside the evanescent region (see Sect. 4.3 and Fig. 4).
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