We are exploring the evolution of massive binary star populations for a nuclear starburst occurring in the conditions similar to the Milky Way Galaxy, in its central part, on a timescale of 10 Myr. A computer code is applied allowing for computing, by using Monte Carlo simulations, the evolution of a large ensemble of binary systems, with proper accounting for spin evolution of magnetized neutron stars (NSs). Our results include a number of X-ray transients (each consisting of a NS plus main-sequence star), superaccreting black holes (BHs), and binaries consisting of a BH plus a supergiant, all as functions of time. We find that by 7 Myr after such a starburst one expects ≈ 1 X-ray source with a BH (Cyg X-1 type), ≈ 1 SS 433-like source (BH in the regime of superaccretion), and ≈ 37 transient sources with a NS, all to be within the central 1 kpc or so. An interesting result that can be considered a specific starburst feature is that the ratio of the number of systems like SS 433 to the number of X-ray transients is about 1:100, compared with 1:1000 characteristic of the average ratio in the Galactic field. The ratio of the total number of X-ray sources containing a BH (of Cyg X-1 plus SS 433 types) to the number of X-ray transients with NSs turns out to be a sensitive function of the age of the starburst, and its computed value ≈ 0.04 is consistent with observations.
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