Top: power density spectrum of the star KIC 9882316, with superimposed mode identification provided by the red giant oscillation universal pattern. Dashed (dotted) lines indicates the position of the peaks a priori (a posteriori) identified as ℓ = 1 mixed modes. P-m modes are located close to the positions marked by 1. Bottom: period spacings ΔP = 1/νnm,1 − 1/νnm + 1,1 between adjacent mixed modes, as a function of the frequency. The full line and small filled diamonds correspond to the convolution model defined by Eqs. (4) and (5); the g-mode spacing ΔΠ1 is indicated by the dotted horizontal line; the dashed line indicates the observed spacing, ΔPobs, which is affected by the mode bumping, measured with the method presented by Mosser et al. (2011a). The large diamonds show the spacing between two observed consecutive modes; full symbols, near the dashed line, correspond to the measurements derived from the modes a priori identified as ℓ = 1 mixed modes; open symbols, just below the dotted line, are obtained from the peaks identified a posteriori as mixed modes.
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