Abstract
We carry out Faddeev calculations of three-alpha and two-alpha plus systems, using two-cluster resonating-group method kernels. The input includes an effective two-nucleon force for the resonating-group method and a new effective force for the interaction. The latter force is a simple two-range Gaussian potential for each spin-singlet and triplet state, generated from the phase-shift behavior of the quark-model hyperon-nucleon interaction, fss2, by using an inversion method based on supersymmetric quantum mechanics. Owing to the exact treatment of the Pauli-forbidden states between two clusters, the present three-cluster Faddeev formalism can describe the mutually related, , , and systems, in terms of a unique set of the baryon-baryon interactions. For the three-range Minnesota force which describes the phase shifts quite accurately, the ground-state and excitation energies of are reproduced within accuracy.
- Received 25 April 2004
DOI:https://doi.org/10.1103/PhysRevC.70.024002
©2004 American Physical Society