dorsal/arxiv
View SchemaSoft-core hyperon-nucleon potentials
| Authors | Th. A. Rijken, V. G. J. Stoks, Y. Yamamoto |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9807082 |
| URL | https://arxiv.org/abs/nucl-th/9807082 |
| DOI | 10.1103/PhysRevC.59.21 |
| Journal | Phys.Rev.C59:21-40,1999 |
Abstract
A new Nijmegen soft-core OBE potential model is presented for the low-energy YN interactions. Besides the results for the fit to the scattering data, which largely defines the model, we also present some applications to hypernuclear systems using the G-matrix method. An important innovation with respect to the original soft-core potential is the assignment of the cut-off masses for the baryon-baryon-meson (BBM) vertices in accordance with broken SU(3)$_F$, which serves to connect the NN and the YN channels. As a novel feature, we allow for medium strong breaking of the coupling constants, using the $^3P_0$ model with a Gell-Mann--Okubo hypercharge breaking for the BBM coupling. We present six hyperon-nucleon potentials which describe the available YN cross section data equally well, but which exhibit some differences on a more detailed level. The differences are constructed such that the models encompass a range of scattering lengths in the $\Sigma N$ and $\Lambda N$ channels. For the scalar-meson mixing angle we obtained values $\theta_S=37$ to 40 degrees, which points to almost ideal mixing angles for the scalar $q\bar{q}$ states. The G-matrix results indicate that the remarkably different spin-spin terms of the six potentials appear specifically in the energy spectra of $\Lambda$ hypernuclei.
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"abstract": "A new Nijmegen soft-core OBE potential model is presented for the low-energy\nYN interactions. Besides the results for the fit to the scattering data, which\nlargely defines the model, we also present some applications to hypernuclear\nsystems using the G-matrix method. An important innovation with respect to the\noriginal soft-core potential is the assignment of the cut-off masses for the\nbaryon-baryon-meson (BBM) vertices in accordance with broken SU(3)$_F$, which\nserves to connect the NN and the YN channels. As a novel feature, we allow for\nmedium strong breaking of the coupling constants, using the $^3P_0$ model with\na Gell-Mann--Okubo hypercharge breaking for the BBM coupling. We present six\nhyperon-nucleon potentials which describe the available YN cross section data\nequally well, but which exhibit some differences on a more detailed level. The\ndifferences are constructed such that the models encompass a range of\nscattering lengths in the $\\Sigma N$ and $\\Lambda N$ channels. For the\nscalar-meson mixing angle we obtained values $\\theta_S=37$ to 40 degrees, which\npoints to almost ideal mixing angles for the scalar $q\\bar{q}$ states. The\nG-matrix results indicate that the remarkably different spin-spin terms of the\nsix potentials appear specifically in the energy spectra of $\\Lambda$\nhypernuclei.",
"arxiv_id": "nucl-th/9807082",
"authors": [
"Th. A. Rijken",
"V. G. J. Stoks",
"Y. Yamamoto"
],
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],
"doi": "10.1103/PhysRevC.59.21",
"journal_ref": "Phys.Rev.C59:21-40,1999",
"title": "Soft-core hyperon-nucleon potentials",
"url": "https://arxiv.org/abs/nucl-th/9807082"
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