On the Binding Energy Parameter $λ$ of Common Envelope Evolution

Details On the Binding Energy Parameter $λ$ of Common Envelope Evolution On the Binding Energy Parameter $λ$ of Common Envelope Evolution

2010-04-28

arxiv.org/abs/1004.4957v1

Astronomy and Astrophysics

Astrophysics

Solar and Stellar Astrophysics

23 pages, 3 figures, accepted for publication in ApJ.

Scientific paper

The binding energy parameter $\lambda$ plays an important role in common envelope (CE) evolution. Previous works have already pointed out that $\lambda$ varies throughout the stellar evolution, though it has been adopted as a constant in most of the population synthesis calculations. We have systematically calculated the binding energy parameter $\lambda$ for both Population I and Population II stars of masses $1-20 M_{\sun}$, taking into account the contribution from the internal energy of stellar matter. We present fitting formulae for $\lambda$ that can be incorporated into future population synthesis investigations. We also briefly discuss the possible applications of the results in binary evolutions.

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