Bogolyubov condition generalization

A. Problem of Bound States—Generalization of the Bogolyubov Condition... 

Clearly, it is necessary to generalize the Bogolyubov condition (2.4). It is obvious in generalizing (2.4) to assume that in systems with two-particle bound states, the pair 1 and 2 moved independently of all other particles as t—> -< . Then it is possible to write... 

Let us now consider the Bogolyubov condition for the three-particle density operator. In generalizing (2.4), the Bogolyubov condition now takes the form (if three-particle bound states are absent)... 

As in Section II, the initial values F12(t0) and F123(/0) for the binary and the three-particle density operators must be determined. For this purpose we have to generalize the Bogolyubov condition of the weakening of initial correlations given by (2.4) for systems that do not support the formation of bound states. 

The next problem is the determination of the initial value of the three-particle density operator. Using the generalized Bogolyubov asymptotic condition in the approximation (3.39), we obtain finally... 

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