dorsal/arxiv
View SchemaThe $\pi \pi$ S-Wave in the 1 to 2 GeV Region from a $\pi \pi$, $\bar{K}K$ and $\rho \rho$($\omega \omega$) Coupled Channel Model
| Authors | W. M. Kloet, B. Loiseau |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9408025 |
| URL | https://arxiv.org/abs/nucl-th/9408025 |
| DOI | 10.1007/BF01295901 |
| Journal | Z.Phys. A353 (1995) 227-230 |
Abstract
A simple $\pi \pi$, $\bar{K}K$, and $\rho \rho$($\omega \omega$) fully coupled channel model is proposed to predict the isoscalar S-wave phase shifts and inelasticities for $\pi \pi$ scattering in the 1.0 to 2.0 GeV region. The S-matrix is required to exhibit poles corresponding to the established isoscalar J$^{\pi}$ = 0$^+$ resonances f$_0$(975), f$_0$(1400), and f$_0$(1710). A dominant feature of the experimental $\pi \pi$ inelasticity is the clear opening of the $\bar{K}K$ channel near 1 GeV, and the opening of another channel in the 1.4 - 1.5 GeV region. The success of our model in predicting this observed dramatic energy dependence indicates that the effect of multi-pion channels is adequately described by the $\pi \pi$ coupling to the $\bar{K}K$ channel, the $\rho \rho$(4$\pi$) and $\omega \omega$(6$\pi$) channels.
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"abstract": "A simple $\\pi \\pi$, $\\bar{K}K$, and $\\rho \\rho$($\\omega \\omega$) fully\ncoupled channel model is proposed to predict the isoscalar S-wave phase shifts\nand inelasticities for $\\pi \\pi$ scattering in the 1.0 to 2.0 GeV region. The\nS-matrix is required to exhibit poles corresponding to the established\nisoscalar J$^{\\pi}$ = 0$^+$ resonances f$_0$(975), f$_0$(1400), and\nf$_0$(1710). A dominant feature of the experimental $\\pi \\pi$ inelasticity is\nthe clear opening of the $\\bar{K}K$ channel near 1 GeV, and the opening of\nanother channel in the 1.4 - 1.5 GeV region. The success of our model in\npredicting this observed dramatic energy dependence indicates that the effect\nof multi-pion channels is adequately described by the $\\pi \\pi$ coupling to the\n$\\bar{K}K$ channel, the $\\rho \\rho$(4$\\pi$) and $\\omega \\omega$(6$\\pi$)\nchannels.",
"arxiv_id": "nucl-th/9408025",
"authors": [
"W. M. Kloet",
"B. Loiseau"
],
"categories": [
"nucl-th"
],
"doi": "10.1007/BF01295901",
"journal_ref": "Z.Phys. A353 (1995) 227-230",
"title": "The $\\pi \\pi$ S-Wave in the 1 to 2 GeV Region from a $\\pi \\pi$, $\\bar{K}K$ and $\\rho \\rho$($\\omega \\omega$) Coupled Channel Model",
"url": "https://arxiv.org/abs/nucl-th/9408025"
},
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