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Figure 4: Apparent intersection (due to avoided crossing) of the axisymmetric first quasi-radial
overtone ( ) and the first overtone of the p-mode (in the Cowling approximation).
Frequencies are normalized by , where is the central energy density of the star. The
rotational frequency at the mass-shedding limit is 0.597 (in the above units). Along continuous
sequences of computed frequencies, mode eigenfunctions are exchanged at the avoided crossing.
Defining quasi-normal mode sequences by the shape of their eigenfunction, the sequence
(filled boxes) appears to intersect with the sequence (triangle), but each sequence shows a
discontinuity, when the region of apparent intersection is well resolved. (Figure 3 of Yoshida and
Eriguchi [330]; used with permission.)
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