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The Model

Suppose that an instantaneous burst  of star formation occurred at the Galactic Center, with half the stars being in binaries. As we are interested in the evolution of NS and BH in binaries, we consider only massive binaries,  i.e. those having the primary component mass in the range of 10- tex2html_wrap_inline11005 and distributed according to the Salpeter's mass function  with a power law exponent tex2html_wrap_inline11693.35 . The initial mass ratio distribution (which is as yet a controversial issue) was taken in a power law form tex2html_wrap_inline11989 strongly favoring binaries with equal masses.

The total mass of stars formed during the starburst was about 4 tex2html_wrap_inline8845 tex2html_wrap_inline11993 (Tamblyn and Rieke, 1993[186]). To get statistically significant results, the evolution of tex2html_wrap_inline11995 binary systems has been computed. Then we normalized the figures so as to be in agreement with the Tamblyn and Rieke (1993)[186] calculations of the number of massive OB-stars that survive 6-8 Myr after the starburst (this age is supported below by an additional argument).

Mike E. Prokhorov
Sat Feb 22 18:38:13 MSK 1997