Resonances in the 2Nanti N system in the range near three-baryon-decay threshold

Faddeev equations are applied to find the positions of resonances in the 2Nanti N system with the isospin I 1/2 and total angular momentum and parity Jsup(P) = 3/2sup(+-). The two-body t matrix entering the kernel of the equation was approximated by the unitary pole approximation. The components of the wave function were chosen in such a way as to include only those quantum numbers of (Nanti N) subsystems for which the theory predicts the existence of quasinuclear bound states. Besides, the upper restraint has been imposed on the orbital momentum of N and (Nanti N) relative motion (l<=1). A large number of clear resonances having relatively small widths have been found. Some of the resonance states of the 2Nanti N quasinucleus are of a cluster type