Faddeev calculation of 3α and ααΛ systems using αα resonating-group method kernels

Y. Fujiwara, K. Miyagawa, M. Kohno, Y. Suzuki, D. Baye, and J.-M. Sparenberg
Phys. Rev. C 70, 024002 – Published 26 August 2004

Abstract

We carry out Faddeev calculations of three-alpha (3α) and two-alpha plus Λ (ααΛ) systems, using two-cluster resonating-group method kernels. The input includes an effective two-nucleon force for the αα resonating-group method and a new effective ΛN force for the Λα 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 α clusters, the present three-cluster Faddeev formalism can describe the mutually related, αα, 3α, and ααΛ systems, in terms of a unique set of the baryon-baryon interactions. For the three-range Minnesota force which describes the αα phase shifts quite accurately, the ground-state and excitation energies of BeΛ9 are reproduced within 100200keV accuracy.

  • Figure
  • Received 25 April 2004

DOI:https://doi.org/10.1103/PhysRevC.70.024002

©2004 American Physical Society

Authors & Affiliations

Y. Fujiwara1,*, K. Miyagawa2, M. Kohno3, Y. Suzuki4, D. Baye5, and J.-M. Sparenberg5,6

  • 1Department of Physics, Kyoto University, Kyoto 606-8502, Japan
  • 2Department of Applied Physics, Okayama Science University, Okayama 700-0005, Japan
  • 3Physics Division, Kyushu Dental College, Kitakyushu 803-8580, Japan
  • 4Department of Physics, Niigata University, Niigata 950-2181, Japan
  • 5Physique Nucléaire Théorique et Physique Mathématique, CP 229, Université Libre de Bruxelles, B-1050 Brussels, Belgium
  • 6TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, Canada V6T 2A3

  • *Electronic address: fujiwara@ruby.scphys.kyoto-u.ac.jp

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Vol. 70, Iss. 2 — August 2004

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