dorsal/arxiv
View SchemaFaddeev calculation of 3 alpha and alpha alpha Lambda systems using alpha alpha resonating-group method kernel
| Authors | Y. Fujiwara, K. Miyagawa, M. Kohno, Y. Suzuki, D. Baye, J. -M. Sparenberg |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0404071 |
| URL | https://arxiv.org/abs/nucl-th/0404071 |
| DOI | 10.1103/PhysRevC.70.024002 |
| Journal | Phys.Rev. C70 (2004) 024002 |
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.
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"abstract": "We carry out Faddeev calculations of three-alpha (3 alpha) and two-alpha plus\nLambda (alpha alpha Lambda) systems, using two-cluster resonating-group method\nkernels. The input includes an effective two-nucleon force for the alpha alpha\nresonating-group method and a new effective Lambda N force for the Lambda alpha\ninteraction. The latter force is a simple two-range Gaussian potential for each\nspin-singlet and triplet state, generated from the phase-shift behavior of the\nquark-model hyperon-nucleon interaction, fss2, by using an inversion method\nbased on supersymmetric quantum mechanics. Owing to the exact treatment of the\nPauli-forbidden states between the clusters, the present three-cluster Faddeev\nformalism can describe the mutually related, alpha alpha, 3 alpha and alpha\nalpha Lambda systems, in terms of a unique set of the baryon-baryon\ninteractions. For the three-range Minnesota force which describes the alpha\nalpha phase shifts quite accurately, the ground-state and excitation energies\nof 9Be Lambda are reproduced within 100 - 200 keV accuracy.",
"arxiv_id": "nucl-th/0404071",
"authors": [
"Y. Fujiwara",
"K. Miyagawa",
"M. Kohno",
"Y. Suzuki",
"D. Baye",
"J. -M. Sparenberg"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.70.024002",
"journal_ref": "Phys.Rev. C70 (2004) 024002",
"title": "Faddeev calculation of 3 alpha and alpha alpha Lambda systems using alpha alpha resonating-group method kernel",
"url": "https://arxiv.org/abs/nucl-th/0404071"
},
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