Abstract:
For a large class of $N$-particle boson and fermion systems we prove the
existence of an increasing sequence of numbers $N_p$ such that the $N_p$ – particle
system is stable, $p=1,2,\dots$. In addition, for fermions
and any allowed symmetry type $\alpha$ sufficient condition is found for the
existence of an increasing sequence of numbers $N_s(\alpha)$ such that a system
of $N_s(\alpha)$ fermions has a bound state of symmetry $\alpha$.
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