Binary--single-star scattering VII. Hard Binary Exchange Cross Sections for Arbitrary Mass Ratios: Numerical Results and Semi-Analytic Fits

Details Binary--single-star scattering VII. Hard Binary Exchange Cross Sections for Arbitrary Mass Ratios: Numerical Results and Semi-Analytic Fits Binary--single-star scattering VII. Hard Binary Exchange Cross Sections for Arbitrary Mass Ratios: Numerical Results and Semi-Analytic Fits

1996-04-02

arxiv.org/abs/astro-ph/9604016v1

Mon.Not.Roy.Astron.Soc. 318 (2000) L61

Astronomy and Astrophysics

Astrophysics

25 pages, TeX + 2 ps-figures, to appear in ApJ

Scientific paper

10.1046/j.1365-8711.2000.04027.x

We present the first comprehensive fitting formula for exchange reactions of arbitrary mass ratios. In a comparison with numerical results, this expression is shown to be accurate in the hard binary limit to within 25\% for most mass ratios. The result will be useful in forming quantitative estimates for the branching ratios of various exchange reactions in astrophysical applications. For example, it can be used to construct quantitative formation scenarios for unusual objects in globular clusters, such as binaries containing a pulsar.

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