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Fig. 17


Critical periods below which one of the components fills its Roche lobe at either the tip of the RGB (PRGB,1, see text; dashed line at the bottom of the figure) or at the tip of the AGB (PAGB,1, solid line at the top of the figure). The input data RRGB,tip and RAGB,tip are taken from the STAREVOL grid (red curves solar metallicity Z = 0.0134; black curves: [Fe/H] =−0.5 or Z = 0.0043). Various superimposed lines in a series correspond to various barium-star masses. The corresponding MBa value may be identified from the starting point of the curve, which then extends towards increasing masses; for a given barium-star mass, the AGB component of mass MAGB – the former primary of the binary system – is necessarily larger. The critical period PRGB,2 (see text) does not strongly depend upon the mass of the WD companion. Therefore, its value can simply be read off the PRGB,1 curve (bold dashed line) at the corresponding MBa value, which determines the key value RRGB,tip. Although PRGB,1 and PRGB,2 are not strictly equal, they are not different enough to warrant a specific PRGB,2 curve that would jeopardize the clarity of the figure (see also Table 3).

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