Vm. Lipunov et al., FORMATION AND COALESCENCE OF RELATIVISTIC BINARY STARS - THE EFFECT OF KICK VELOCITY, Monthly Notices of the Royal Astronomical Society, 288(1), 1997, pp. 245-259
Using Monte Carlo calculations of the modern scenario for binary stell
ar evolution, and taking account of the spin evolution of magnetized c
ompact stars (the 'scenario machine'), we compute for the first time t
he number of galactic binary pulsars with different companion types [O
B star, white dwarf (WD), neutron star (NS), black hole (BH), or plane
t] assuming various phenomenological distributions for kick velocities
of newborn NSs. We demonstrate a strong dependence of the binary puls
ar population fractions relative to single pulsars on the mean kick ve
locity, and find an optimal kick velocity of 150-200 km s(-1). We also
investigate the way in which the merging rates of relativistic binary
stars (NS + NS, NS + BH, BH + BH) depend on the kick velocity. We sho
w that the BH + BH merging may occur, depending on the parameters of B
H formation, at a rate of one per 200000-500000 yr in a Milky Way-type
galaxy. The NS + NS merging rate R-ns is found to be 1 per similar to
3000 yr for zero recoil, and decreases to one per 10 000 yr even for
the highest kick velocities of 400 km s(-1). That the merging rates de
rived from evolutionary calculations are higher, by two orders of magn
itude, than those based on binary pulsar statistics only, is suggested
to be the result of the fact that the observable binary pulsars in pa
irs with NSs form only a fraction of the total number of binary NS sys
tems. The merging rates obtained imply an expected detection rate of b
inary BHs (by a gravitational wave detector) comparable with and even
higher than the binary NS merging rate for a wide range of parameters.
Detecting the final frequency of a merging event at about 100 Hz and
the shaping of the waveforms would bring firm evidence of the existenc
e of BHs in nature.