dorsal/arxiv
View SchemaThe Reaction $pp\to p \Lambda K^+$ Near Threshold
| Authors | N. Kaiser |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9902046 |
| URL | https://arxiv.org/abs/nucl-th/9902046 |
| DOI | 10.1007/s100500050263 |
| Journal | Eur.Phys.J. A5 (1999) 105-110 |
Abstract
We analyze the recent total cross section data for $pp \to p\Lambda K^+$ near threshold measured at COSY. Using an effective range approximation for the on-shell $p\Lambda$ S-wave final state interaction we extract from these data the combination ${\cal K} = \sqrt{2|K_s|^2+|K_t|^2} = 0.38$ fm$^4$ of the singlet ($K_s$) and triplet ($K_t$) threshold transition amplitudes. We present an exploratory calculation of various (tree-level) vector and pseudoscalar meson exchange diagrams. Pointlike $\omega$-exchange alone and the combined ($\rho^0,\omega,K^{*+} $)-exchange can explain the experimental value of $\cal K$. The pseudoscalar meson exchanges based on a SU(3) chiral Lagrangian turn out to be too large. However, when adding $\pi^0$-exchange in combination with the resonant $\pi N \to S_{11}(1650)\to K \Lambda$ transition and introducing monopole form factors with a cut-off $\Lambda_c= 1.5$ GeV one is again able to reproduce the experimental value of $\cal K$. More exclusive measurements are necessary to reveal the details of the $pp\to p\Lambda K^+$ production mechanism.
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"abstract": "We analyze the recent total cross section data for $pp \\to p\\Lambda K^+$ near\nthreshold measured at COSY. Using an effective range approximation for the\non-shell $p\\Lambda$ S-wave final state interaction we extract from these data\nthe combination ${\\cal K} = \\sqrt{2|K_s|^2+|K_t|^2} = 0.38$ fm$^4$ of the\nsinglet ($K_s$) and triplet ($K_t$) threshold transition amplitudes. We present\nan exploratory calculation of various (tree-level) vector and pseudoscalar\nmeson exchange diagrams. Pointlike $\\omega$-exchange alone and the combined\n($\\rho^0,\\omega,K^{*+} $)-exchange can explain the experimental value of $\\cal\nK$. The pseudoscalar meson exchanges based on a SU(3) chiral Lagrangian turn\nout to be too large. However, when adding $\\pi^0$-exchange in combination with\nthe resonant $\\pi N \\to S_{11}(1650)\\to K \\Lambda$ transition and introducing\nmonopole form factors with a cut-off $\\Lambda_c= 1.5$ GeV one is again able to\nreproduce the experimental value of $\\cal K$. More exclusive measurements are\nnecessary to reveal the details of the $pp\\to p\\Lambda K^+$ production\nmechanism.",
"arxiv_id": "nucl-th/9902046",
"authors": [
"N. Kaiser"
],
"categories": [
"nucl-th"
],
"doi": "10.1007/s100500050263",
"journal_ref": "Eur.Phys.J. A5 (1999) 105-110",
"title": "The Reaction $pp\\to p \\Lambda K^+$ Near Threshold",
"url": "https://arxiv.org/abs/nucl-th/9902046"
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