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Table 4.

Theoretical expectations, seismic values of in-depth investigations of mode set 2 based on GOLF data, and recommended values of solar mean density and acoustic radius as determined through seismic inversions.

ρ ¯ $ \bar{\rho} $ (g/cm3) τ (s)
Theoretical expectations
1.4100 ± 0.0009

Seismic values (set 2 of GOLF)
Forward modelling 1.4107 ± 0.0011
Reference model before inversion 1.4066 ± 0.0035 3727.3 ± 4.4
Inversion + coef. from AIMS with BG2 1.4103 ± 0.0011 3722.3 ± 0.9
Inversion + coef. from InversionKit with BG2 1.4096 ± 0.0011 3723.2 ± 1.0
Inversion + coef. from InversionKit with S2 1.4093 ± 0.0010 3723.7 ± 0.9

Recommended values
1.4104 ± 0.0051 3722.0 ± 4.1

Notes. The recommended values correspond to the weighted average of the inversion results using the surface effect coefficients estimated by the forward modelling with AIMS. The average is based on results from mode sets 1 and 2 of GOLF and BiSON datasets. The uncertainty of the seismic values was estimated using the standard deviation of the corresponding data and therefore only accounts for half of the systematic uncertainty due to stellar activity. The uncertainty of the recommended values accounts for all the uncertainties listed in Table 2 (i.e. statistical, stellar activity, surface effect prescription, and physical ingredients).

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