Test of the Initial Restrictions on the Scenario Basic Observational Data for

The COOC Criterion (Criterion of Observations versus
Calculations)

In order to compare the number of different evolutionary stages obtained and X-ray luminosity of the chosen X-ray sources with the observed galactic values we use the sum of C/O+O/C, where C and O are the calculated and observed values of a given binary type, respectively. If we make comparison for a number of different binary species (for example, we compare the number of CV, number of X-ray pulsars,  total X-ray luminosity of LMXB, etc.), we write this criterion in the form:

 

where the sum is taken for each i-th species, and are corresponding weights.

Obviously, this function reaches a minimum value of 2 once C=O for all species. When at least for one of the species considered, this criterion rapidly increases (note that always by definition). This criterion is of course a rough measure of coincidence, and is used just to somehow compare the values which we know to within at least a factor of 2. We also note that the criterion in this form accounts, with equal power, for both rare encountered stages (for example, short-living superaccreting SS433-like binaries) and copious stages (for example, CV) of binary evolution.

As was noted by I.E. Panchenko, , that is our criterion essentially represents a modification of the widely used value.