dorsal/arxiv
View SchemaChiral symmetry amplitudes in the s-wave isoscalar and isovector channels and the $\sigma, f_0(980), a_0 (980)$ scalar mesons
| Authors | J. A. Oller, E. Oset |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9601031 |
| URL | https://arxiv.org/abs/nucl-th/9601031 |
Abstract
We use a nonpertubative approach which combines coupled channel Lippmann Schwinger equations with meson-meson potentials provided by the lowest order chiral Lagrangian. By means of one parameter, a cut off in the momentum of the loop integrals, which results of the order of 1 GeV, we obtain singularities in the S-wave amplitudes corresponding to the $\sigma$, f_0 and a_0 resonances. The $\pi \pi \to \pi \pi, \pi \pi \to K \bar{K}$ phase shifts and inelasticities in the T = 0 scalar channel are well reproduced as well as the $\pi^0 \eta$ and $K \bar{K}$ mass distributions in the T = 1 channel. Furthermore, the total and partial decay widths of the f_0 and a_0 resonances are properly reproduced including also the decay into the $\gamma \gamma$ channel. The results seem to indicate that chiral symmetry constraints at low energy and unitarity in coupled channels is the basic information contained in the meson-meson interaction below $\sqrt{s} \simeq 1.2 GeV$.
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"abstract": "We use a nonpertubative approach which combines coupled channel Lippmann\nSchwinger equations with meson-meson potentials provided by the lowest order\nchiral Lagrangian. By means of one parameter, a cut off in the momentum of the\nloop integrals, which results of the order of 1 GeV, we obtain singularities in\nthe S-wave amplitudes corresponding to the $\\sigma$, f_0 and a_0 resonances.\nThe $\\pi \\pi \\to \\pi \\pi, \\pi \\pi \\to K \\bar{K}$ phase shifts and\ninelasticities in the T = 0 scalar channel are well reproduced as well as the\n$\\pi^0 \\eta$ and $K \\bar{K}$ mass distributions in the T = 1 channel.\nFurthermore, the total and partial decay widths of the f_0 and a_0 resonances\nare properly reproduced including also the decay into the $\\gamma \\gamma$\nchannel. The results seem to indicate that chiral symmetry constraints at low\nenergy and unitarity in coupled channels is the basic information contained in\nthe meson-meson interaction below $\\sqrt{s} \\simeq 1.2 GeV$.",
"arxiv_id": "nucl-th/9601031",
"authors": [
"J. A. Oller",
"E. Oset"
],
"categories": [
"nucl-th",
"hep-ph"
],
"title": "Chiral symmetry amplitudes in the s-wave isoscalar and isovector channels and the $\\sigma, f_0(980), a_0 (980)$ scalar mesons",
"url": "https://arxiv.org/abs/nucl-th/9601031"
},
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