dorsal/arxiv
View SchemaThe Role of the $\Delta(1920)$ Resonance for Kaon Production in Heavy Ion Collisions
| Authors | K. Tsushima, S. W. Huang, Amand Faessler |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9407021 |
| URL | https://arxiv.org/abs/nucl-th/9407021 |
| DOI | 10.1016/0370-2693(94)90971-7 |
| Journal | Phys.Lett. B337 (1994) 245-253 |
Abstract
The long mean free path of $K^+$ mesons in nuclear matter makes this particle a suitable messenger for the dynamics of nucleus-nucleus reactions at intermediate energies (100 MeV to 3 GeV per nucleon). A prerequisite for this is the knowledge of the elementary production cross sections $\pi N \rightarrow \Sigma K$. Here these cross sections are studied for the first time with the explicite inclusion of the relevant baryon resonances up to 2 GeV as intermediate states. The baryon resonances -- $N(1710)\, I(J^P) = \frac{1}{2} (\frac{1}{2}^+),\, N(1720)\, \frac{1}{2} (\frac{3}{2}^+)$ and $\Delta(1920)\, \frac{3}{2} (\frac{3}{2}^+)\,$ -- are taken into account coherently in the calculations of the $\pi N \rightarrow \Sigma K$ process. (We refer to this model as the `resonance model'.) Also $K^*(892)\frac{1}{2} (1^-)$ vector meson exchange is included. It is shown that the total cross sections for different channels of the $\pi N \rightarrow \Sigma k$ reactions, i.e. $\pi^+ p \rightarrow \Sigma^+ K^+$, $\pi^- p \rightarrow \Sigma^- K^+$, $\pi^+ n \rightarrow \Sigma^0 K^+$ ($\pi^- p \rightarrow \Sigma^- K^+$) and $\pi^0 p \rightarrow \Sigma^0 K^+$ differ not only by absolute values but also by their energy dependence. This shape differences are due to the mixture of the isospin $I = 3/2$ $\Delta(1920)$ with isospin $I = 1/2$ nucleon resonances. However, this $I = 3/2$ resonance does not give a contribution to the $\pi N \rightarrow \Lambda K$ reactions. So the shapes of the total cross sections $\pi N \rightarrow \Lambda K$ for different isospin projections are the same. In spite of this, such cross sections averaged over different isospin projections in the same multiplet
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"abstract": "The long mean free path of $K^+$ mesons in nuclear matter makes this particle\na suitable messenger for the dynamics of nucleus-nucleus reactions at\nintermediate energies (100 MeV to 3 GeV per nucleon). A prerequisite for this\nis the knowledge of the elementary production cross sections $\\pi N \\rightarrow\n\\Sigma K$. Here these cross sections are studied for the first time with the\nexplicite inclusion of the relevant baryon resonances up to 2 GeV as\nintermediate states. The baryon resonances -- $N(1710)\\, I(J^P) = \\frac{1}{2}\n(\\frac{1}{2}^+),\\, N(1720)\\, \\frac{1}{2} (\\frac{3}{2}^+)$ and $\\Delta(1920)\\,\n\\frac{3}{2} (\\frac{3}{2}^+)\\,$ -- are taken into account coherently in the\ncalculations of the $\\pi N \\rightarrow \\Sigma K$ process. (We refer to this\nmodel as the `resonance model\u0027.) Also $K^*(892)\\frac{1}{2} (1^-)$ vector meson\nexchange is included. It is shown that the total cross sections for different\nchannels of the $\\pi N \\rightarrow \\Sigma k$ reactions, i.e. $\\pi^+ p\n\\rightarrow \\Sigma^+ K^+$, $\\pi^- p \\rightarrow \\Sigma^- K^+$, $\\pi^+ n\n\\rightarrow \\Sigma^0 K^+$ ($\\pi^- p \\rightarrow \\Sigma^- K^+$) and $\\pi^0 p\n\\rightarrow \\Sigma^0 K^+$ differ not only by absolute values but also by their\nenergy dependence. This shape differences are due to the mixture of the isospin\n$I = 3/2$ $\\Delta(1920)$ with isospin $I = 1/2$ nucleon resonances. However,\nthis $I = 3/2$ resonance does not give a contribution to the $\\pi N \\rightarrow\n\\Lambda K$ reactions. So the shapes of the total cross sections $\\pi N\n\\rightarrow \\Lambda K$ for different isospin projections are the same. In spite\nof this, such cross sections averaged over different isospin projections in the\nsame multiplet",
"arxiv_id": "nucl-th/9407021",
"authors": [
"K. Tsushima",
"S. W. Huang",
"Amand Faessler"
],
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],
"doi": "10.1016/0370-2693(94)90971-7",
"journal_ref": "Phys.Lett. B337 (1994) 245-253",
"title": "The Role of the $\\Delta(1920)$ Resonance for Kaon Production in Heavy Ion Collisions",
"url": "https://arxiv.org/abs/nucl-th/9407021"
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