On the reliability of proxies for globular cluster collision rates

摘要: A variety of different proxies for the stellar collision rates in globular clusters is used literature, depending on quality data available. We present comparisons between these and full integrated rate King models. The most commonly proxy, Γ, defined to be ρ 3/2 0 r 2 c , where central cluster density, core radius based 1966 model, an accurate representation from model within about 25 per cent all but least concentrated clusters. By integrating over models with a range parameters, we show that Γ h average density half-light radius, only marginally better correlated than luminosity. two galaxies results fitting have been reported detail dearth core-collapsed relative seen Milky Way, indicating radii are probably slightly overestimated, even excellent data. Recent work has suggested shallower linear relations exist probability will contain X-ray source; there similarly relationship can explain used; also reasonable measurement errors likely produce when itself used. thus conclude existing evidence consistent idea binary formation linearly proportional rates. find, through comparison Gunn―Griffin (sometimes referred as multimass models) suggestive retention fractions neutron stars may related day concentration which would imply today were at time their supernovae.