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

Details Theoretical analysis of resonance states in $^{4}H$, $^{4}He$ and $^{4}Li$ above three-cluster threshold Theoretical analysis of resonance states in $^{4}H$, $^{4}He$ and $^{4}Li$ above three-cluster threshold

2004-12-20

arxiv.org/abs/nucl-th/0412078v1

Ukr.J.Phys. 49 (2004) 1053-1059

Physics

Nuclear Physics

Nuclear Theory

20 page, 4 figures

Scientific paper

The resonance states of $^{4}H$, $^{4}He$ and $^{4}Li$, 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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