dorsal/arxiv
View Schema$\Lambda(1405)$ and $\bar\Lambda(1405)$ in $J/\psi$ four-body decays
| Authors | Chiangbing Li, E. Oset |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0409076 |
| URL | https://arxiv.org/abs/nucl-th/0409076 |
| DOI | 10.1103/PhysRevC.70.065202 |
| Journal | Phys.Rev. C70 (2004) 065202 |
Abstract
We study the structure of the baryon resonances $\Lambda(1405)$ and $\bar\Lambda(1405)$ in $J/\psi$ four body decays $J/\psi\to \Sigma\bar \Sigma \pi\pi$ in the framework of a coupled channel chiral unitary approach. With still sufficient freedom for model parameters, the $\Lambda(1405)$ and $\bar\Lambda(1405)$ resonances are generated by simultaneously taking the meson baryon and meson anti-baryon final state interactions into account. The $\pi\Sigma$ ($\pi\bar\Sigma$) invariant mass distributions peak around 1410 MeV, which favors the assertion that the $\Lambda(1405)$ ($\bar\Lambda(1405)$) is a superposition of the two $\Lambda(1405)$ ($\bar\Lambda(1405)$) states which dominantly couple to $\bar K N$ ($K\bar N$) and $\pi\Sigma$ ($\pi\bar\Sigma$), respectively. We also calculate the amplitude for isospin I=1 which gives hints on a possible I=1 baryon resonance in the energy region of the $\Lambda(1405)$, which up to now has not been observed.
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"abstract": "We study the structure of the baryon resonances $\\Lambda(1405)$ and\n$\\bar\\Lambda(1405)$ in $J/\\psi$ four body decays $J/\\psi\\to \\Sigma\\bar \\Sigma\n\\pi\\pi$ in the framework of a coupled channel chiral unitary approach. With\nstill sufficient freedom for model parameters, the $\\Lambda(1405)$ and\n$\\bar\\Lambda(1405)$ resonances are generated by simultaneously taking the meson\nbaryon and meson anti-baryon final state interactions into account. The\n$\\pi\\Sigma$ ($\\pi\\bar\\Sigma$) invariant mass distributions peak around 1410\nMeV, which favors the assertion that the $\\Lambda(1405)$ ($\\bar\\Lambda(1405)$)\nis a superposition of the two $\\Lambda(1405)$ ($\\bar\\Lambda(1405)$) states\nwhich dominantly couple to $\\bar K N$ ($K\\bar N$) and $\\pi\\Sigma$\n($\\pi\\bar\\Sigma$), respectively. We also calculate the amplitude for isospin\nI=1 which gives hints on a possible I=1 baryon resonance in the energy region\nof the $\\Lambda(1405)$, which up to now has not been observed.",
"arxiv_id": "nucl-th/0409076",
"authors": [
"Chiangbing Li",
"E. Oset"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.70.065202",
"journal_ref": "Phys.Rev. C70 (2004) 065202",
"title": "$\\Lambda(1405)$ and $\\bar\\Lambda(1405)$ in $J/\\psi$ four-body decays",
"url": "https://arxiv.org/abs/nucl-th/0409076"
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