dorsal/arxiv
View SchemaResonance Model of $\pi \Delta \rightarrow Y K$ for Kaon Production in Heavy Ion Collisions
| Authors | K. Tsushima, S. W. Huang, Amand Faessler |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9407020 |
| URL | https://arxiv.org/abs/nucl-th/9407020 |
| DOI | 10.1088/0954-3899/21/1/005 |
| Journal | J.Phys. G21 (1995) 33-42 |
Abstract
The elementary production cross sections $\pi \Delta \rightarrow Y K$ $(Y=\Sigma,\,\, \Lambda)$ and $\pi N \rightarrow Y K$ are needed to describe kaon production in heavy ion collisions. The $\pi N \rightarrow Y K$ reactions were studied previously by a resonance model. The model can explain the experimental data quite well \cite{tsu}. In this article, the total cross sections $\pi \Delta \rightarrow Y K$ at intermediate energies (from the kaon production threshold to3 GeV of $\pi \Delta$ center-of-mass energy) are calculated for the first time using the same resonance model. The resonances, $N(1710)\,I(J^P) = \frac{1}{2}(\frac{1}{2}^+)$ and $N(1720)\, \frac{1}{2} (\frac{3}{2}^+)$ for the $\pi \Delta \rightarrow \Sigma K$ reactions, and $N(1650)\, \frac{1}{2} (\frac{1}{2}^-)$, $N(1710)\, \frac{1}{2} (\frac{1}{2}^+)$ and $N(1720)\, \frac{1}{2} (\frac{3}{2}^+)$ for the $\pi \Delta \rightarrow \Lambda K$ reactions are taken into account coherently as the intermediate states in the calculations. Also t-channel $K^*(892) \frac{1}{2}(1^-)$ vector meson exchange is included. The results show that $K^*(892)$ exchange is neglegible for the $\pi \Delta \rightarrow \Sigma K$ reactions, whereas this meson does not contribute to the $\pi \Delta \rightarrow \Lambda K$ reactions. Furthemore, the $\pi \Delta \rightarrow Y K$ contributions to kaon production in heavy ion collisions are not only non-neglegible but also very different from the $\pi N \rightarrow Y K$ reactions. An argument valid for $\pi N \rightarrow Y K$ cannot be extended to $\pi \Delta \rightarrow Y K$ reactions. Therefore, cross sections for $\pi \Delta \rightarrow Y K$ including correctly the different isospins must be
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"abstract": "The elementary production cross sections $\\pi \\Delta \\rightarrow Y K$\n$(Y=\\Sigma,\\,\\, \\Lambda)$ and $\\pi N \\rightarrow Y K$ are needed to describe\nkaon production in heavy ion collisions. The $\\pi N \\rightarrow Y K$ reactions\nwere studied previously by a resonance model. The model can explain the\nexperimental data quite well \\cite{tsu}. In this article, the total cross\nsections $\\pi \\Delta \\rightarrow Y K$ at intermediate energies (from the kaon\nproduction threshold to3 GeV of $\\pi \\Delta$ center-of-mass energy) are\ncalculated for the first time using the same resonance model. The resonances,\n$N(1710)\\,I(J^P) = \\frac{1}{2}(\\frac{1}{2}^+)$ and $N(1720)\\, \\frac{1}{2}\n(\\frac{3}{2}^+)$ for the $\\pi \\Delta \\rightarrow \\Sigma K$ reactions, and\n$N(1650)\\, \\frac{1}{2} (\\frac{1}{2}^-)$, $N(1710)\\, \\frac{1}{2}\n(\\frac{1}{2}^+)$ and $N(1720)\\, \\frac{1}{2} (\\frac{3}{2}^+)$ for the $\\pi\n\\Delta \\rightarrow \\Lambda K$ reactions are taken into account coherently as\nthe intermediate states in the calculations. Also t-channel $K^*(892)\n\\frac{1}{2}(1^-)$ vector meson exchange is included. The results show that\n$K^*(892)$ exchange is neglegible for the $\\pi \\Delta \\rightarrow \\Sigma K$\nreactions, whereas this meson does not contribute to the $\\pi \\Delta\n\\rightarrow \\Lambda K$ reactions. Furthemore, the $\\pi \\Delta \\rightarrow Y K$\ncontributions to kaon production in heavy ion collisions are not only\nnon-neglegible but also very different from the $\\pi N \\rightarrow Y K$\nreactions. An argument valid for $\\pi N \\rightarrow Y K$ cannot be extended to\n$\\pi \\Delta \\rightarrow Y K$ reactions. Therefore, cross sections for $\\pi\n\\Delta \\rightarrow Y K$ including correctly the different isospins must be",
"arxiv_id": "nucl-th/9407020",
"authors": [
"K. Tsushima",
"S. W. Huang",
"Amand Faessler"
],
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"nucl-th"
],
"doi": "10.1088/0954-3899/21/1/005",
"journal_ref": "J.Phys. G21 (1995) 33-42",
"title": "Resonance Model of $\\pi \\Delta \\rightarrow Y K$ for Kaon Production in Heavy Ion Collisions",
"url": "https://arxiv.org/abs/nucl-th/9407020"
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