On the validity of the core-mass luminosity relation for TP-AGB stars with efficient dredge-up

F. Herwig1,2, D. Schönberner2, T. Blöcker3

1Universität Potsdam, Institut für Physik, Astrophysik
2Astrophysikalisches Institut Potsdam
3Max Planck Institut für Radioastronomie, Bonn

We investigate the validity of the (CMLR), originally described by Paczynski (1970), for asymptotic giant branch stars under the presence of third dredge-up events. We find, that models with efficient third dredge-up with less massive cores than those associated with hot bottom burning (Blöcker and Schönberner 1991) do not obey the linear CMLR. Complete evolutionary calculations of thermal pulse stellar models which consider overshoot according to an exponential diffusive algorithm show systematically larger third dredge up for lower core masses 0.55 Msun < MH < 0.8 Msun than any other existing models. We present and discuss the luminosity evolution of these models. Key words Stars: AGB and post-AGB - Stars: evolution - Stars: interiors

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