arXiv:nucl-th/0404071·v2·Nuclear Theory
Faddeev calculation of 3 alpha and alpha alpha Lambda systems using alpha alpha resonating-group method kernel
Y. Fujiwara (1) · K. Miyagawa (2) · M. Kohno (3) · Y. Suzuki (4) · D. Baye (5) · J.-M. Sparenberg (6) ((1) Kyoto University · (2) Okayama Science University · (3) Kyushu Dental College · (4) Niigata University · (5) Universite Libre de Bruxelles · (6) TRIUMF)
Abstract
We carry out Faddeev calculations of three-alpha (3 alpha) and two-alpha plus Lambda (alpha alpha Lambda) systems, using two-cluster resonating-group method kernels. The input includes an effective two-nucleon force for the alpha alpha resonating-group method and a new effective Lambda N force for the Lambda alpha 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 the clusters, the present three-cluster Faddeev formalism can describe the mutually related, alpha alpha, 3 alpha and alpha alpha Lambda systems, in terms of a unique set of the baryon-baryon interactions. For the three-range Minnesota force which describes the alpha alpha phase shifts quite accurately, the ground-state and excitation energies of 9Be Lambda are reproduced within 100 - 200 keV accuracy.
Comments: 23 pages, one figure, submitted to Phys. Rev. C