dorsal/arxiv
View SchemaExtended-soft-core baryon-baryon model III. $S=-2$ hyperon-hyperon/nucleon interaction
| Authors | Th. A. Rijken, Y. Yamamoto |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0608074 |
| URL | https://arxiv.org/abs/nucl-th/0608074 |
Abstract
This paper presents the Extended-Soft-Core (ESC) potentials ESC04a-d for baryon-baryon channels with total strangeness $S=-2$. For these channels no experimental scattering data exist, and alsothe information from hypernuclei is very limited.The potential models for $S=-2$ are based on SU(3) extensions of potential models for the $S=0,-1$ sectors, which are fitted to experimental data. Flavor su(3)-symmetry is broken 'kinematically'by the masses of the baryons and the mesons.Moreover, in ESC04a,b aldo the coupling constants are broken, albeit in a well defined way using the $^3P_0$ quark-antiquark pair creation model as a guidance. But the fit to the S=0 and $S=-1$ sectors provides the necessary constraints to fix all free parameters.Therefore, the potentials for the $S=-2$ sectors do not contain additional free parameters, which situation is similar to the soft-core one-boson-exchange NSC97-models. Various properties of the potentials are illustrated by giving results for scattering lengths, bound states, phase-parameters, and total cross sections. The features of $\Xi$-hypernuclei predicted by ESC04d are studied on the basis of the G-matrix approach.
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"abstract": "This paper presents the Extended-Soft-Core (ESC) potentials ESC04a-d for\nbaryon-baryon channels with total strangeness $S=-2$. For these channels no\nexperimental scattering data exist, and alsothe information from hypernuclei is\nvery limited.The potential models for $S=-2$ are based on SU(3) extensions of\npotential models for the $S=0,-1$ sectors, which are fitted to experimental\ndata. Flavor su(3)-symmetry is broken \u0027kinematically\u0027by the masses of the\nbaryons and the mesons.Moreover, in ESC04a,b aldo the coupling constants are\nbroken, albeit in a well defined way using the $^3P_0$ quark-antiquark pair\ncreation model as a guidance. But the fit to the S=0 and $S=-1$ sectors\nprovides the necessary constraints to fix all free parameters.Therefore, the\npotentials for the $S=-2$ sectors do not contain additional free parameters,\nwhich situation is similar to the soft-core one-boson-exchange NSC97-models.\nVarious properties of the potentials are illustrated by giving results for\nscattering lengths, bound states, phase-parameters, and total cross sections.\nThe features of $\\Xi$-hypernuclei predicted by ESC04d are studied on the basis\nof the G-matrix approach.",
"arxiv_id": "nucl-th/0608074",
"authors": [
"Th. A. Rijken",
"Y. Yamamoto"
],
"categories": [
"nucl-th"
],
"title": "Extended-soft-core baryon-baryon model III. $S=-2$ hyperon-hyperon/nucleon interaction",
"url": "https://arxiv.org/abs/nucl-th/0608074"
},
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