SIMBAD references

The individual modes and asymptotic parameters are important characteristics of stellar oscillation. Using TESS 2 minute cadence data from Sectors 1 to 75, we perform asteroseismic analysis of 687 red giants, and provide their oscillation mode parameters. The mode parameters, including frequencies ν_n,l, amplitudes A_n,l, and line widths Γ_n,l, are obtained through Markov Chain Monte Carlo fitting. The median uncertainty for frequency is 0.047 μHz. Using the radial mode frequencies, we calculate the values of Δν, and derive asymptotic parameters (ϵ_p, ϵ_c, δν_0l, q, and ΔΠ₁) based on l = 0, 1, 2 modes. For red giants with Δν > 15.6 μHz, there is a weaker correlation between δν₀₂ and Δν, and a stronger mass dependence, compared to stars with lower Δν. Additionally, the ratio δν₀₂/Δν presents a pronounced increase with Δν decrease, as these stars undergo rapid core contraction and their convective envelopes extend deep into the interior. At this stage, the ratio δν₀₂/Δν may serve as a robust indicator for diagnosing the location of the convective boundary. Furthermore, the ϵ_c values can be a potential index to distinguish red clump (RC) and secondary RC stars from red giant branch stars in the TESS field.