dorsal/arxiv
View SchemaLambda alpha, Sigma alpha and Xi alpha potentials derived from the SU6 quark-model baryon-baryon interaction
| Authors | Y. Fujiwara, M. Kohno, Y. Suzuki |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0610086 |
| URL | https://arxiv.org/abs/nucl-th/0610086 |
| DOI | 10.1016/j.nuclphysa.2006.12.005 |
| Journal | Nucl.Phys.A784:161-187,2007 |
Abstract
We calculate Lambda alpha, Sigma alpha and Xi alpha potentials from the nuclear-matter G-matrices of the SU6 quark-model baryon-baryon interaction. The alpha-cluster wave function is assumed to be a simple harmonic-oscillator shell-model wave function. A new method is proposed to derive the direct and knock-on terms of the interaction Born kernel from the hyperon-nucleon G-matrices, with explicit treatments of the nonlocality and the center-of-mass motion between the hyperon and alpha. We find that the SU6 quark-model baryon-baryon interactions, FSS and fss2, yield a reasonable bound-state energy for 5 He Lambda, -3.18 -- -3.62 MeV, in spite of the fact that they give relatively large depths for the Lambda single-particle potentials, 46 -- 48 MeV, in symmetric nuclear matter. An equivalent local potential derived from the Wigner transform of the nonlocal Lambda alpha kernel shows a strong energy dependence for the incident Lambda-particle, indicating the importance of the strangeness-exchange process in the original hyperon-nucleon interaction. The Sigma alpha and Xi alpha potentials are repulsive with the attractive isospin I=1/2 (Sigma alpha) and I=0 (Xi alpha) components and the repulsive I=3/2 (Sigma alpha) and I=1 (Xi alpha) components.
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"abstract": "We calculate Lambda alpha, Sigma alpha and Xi alpha potentials from the\nnuclear-matter G-matrices of the SU6 quark-model baryon-baryon interaction. The\nalpha-cluster wave function is assumed to be a simple harmonic-oscillator\nshell-model wave function. A new method is proposed to derive the direct and\nknock-on terms of the interaction Born kernel from the hyperon-nucleon\nG-matrices, with explicit treatments of the nonlocality and the center-of-mass\nmotion between the hyperon and alpha. We find that the SU6 quark-model\nbaryon-baryon interactions, FSS and fss2, yield a reasonable bound-state energy\nfor 5 He Lambda, -3.18 -- -3.62 MeV, in spite of the fact that they give\nrelatively large depths for the Lambda single-particle potentials, 46 -- 48\nMeV, in symmetric nuclear matter. An equivalent local potential derived from\nthe Wigner transform of the nonlocal Lambda alpha kernel shows a strong energy\ndependence for the incident Lambda-particle, indicating the importance of the\nstrangeness-exchange process in the original hyperon-nucleon interaction. The\nSigma alpha and Xi alpha potentials are repulsive with the attractive isospin\nI=1/2 (Sigma alpha) and I=0 (Xi alpha) components and the repulsive I=3/2\n(Sigma alpha) and I=1 (Xi alpha) components.",
"arxiv_id": "nucl-th/0610086",
"authors": [
"Y. Fujiwara",
"M. Kohno",
"Y. Suzuki"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.nuclphysa.2006.12.005",
"journal_ref": "Nucl.Phys.A784:161-187,2007",
"title": "Lambda alpha, Sigma alpha and Xi alpha potentials derived from the SU6 quark-model baryon-baryon interaction",
"url": "https://arxiv.org/abs/nucl-th/0610086"
},
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