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Theoretical analysis of resonance states in 4H, 4He and 4Li above three-cluster threshold

V. Vasilevsky, F. Arickx, J. Broeckhove, V. N. Romanov

nucl-tharXiv:nucl-th/0412078

Abstract

The resonance states of 4H, 4He and 4Li, embedded in the three-cluster d+N+N continuum, are investigated within a three-cluster model. The model treats the Pauli principle exactly and incorporates the Faddeev components for proper description of the boundary conditions for the two- and three-body continua. The hyperspherical harmonics are used to distinguish and numerate channels of the three-cluster continuum. It is shown that the effective barrier, created by three-cluster configuration d+N+N, is strong enough to accommodate two resonance states.

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