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Parameterising the Third Dredge-up in Asymptotic Giant Branch Stars
Karakas, A. I.; Lattanzio, J. C.; Pols, O. R.
AA(School of Mathematical Sciences, Monash University, Wellington Rd, Clayton 3800, Australia. ), AB(School of Mathematical Sciences, Monash University, Wellington Rd, Clayton 3800, Australia.), AC(School of Mathematical Sciences, Monash University, Wellington Rd, Clayton 3800, Australia. Astronomical Institute Utrecht, Postbus 80000, 3508 TA Utrecht, The Netherlands.)
Publications of the Astronomical Society of Australia, Volume 19, Issue 4, pp. 515-526. (PASA Homepage)
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We present new evolutionary sequences for low and intermediate mass stars (1-6Msolar) for three different metallicities, Z = 0.02,0.008, and 0.004. We evolve the models from the pre-main sequence to the thermally-pulsing asymptotic giant branch phase. We have two sequences of models for each mass, one which includes mass loss and one without mass loss. Typically 20 or more pulses have been followed for each model, allowing us to calculate the third dredge-up parameter for each case. Using the results from this large and homogeneous set of models, we present an approximate fit for the core mass at the first thermal pulse, Mc1, as well as for the third dredge-up efficiency parameter, lambda, and the core mass at the first dredge-up episode, Mcmin, as a function of metallicity and total mass. We also examine the effect of a reduced envelope mass on the value of lambda.

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