dorsal/arxiv
View SchemaOn the structure of the scalar mesons $f_0(975)$ and $a_0(980)$
| Authors | G. Janssen, B. C. Pearce, K. Holinde, J. Speth |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9411021 |
| URL | https://arxiv.org/abs/nucl-th/9411021 |
| DOI | 10.1103/PhysRevD.52.2690 |
| Journal | Phys.Rev.D52:2690-2700,1995 |
Abstract
We investigate the structure of the scalar mesons $f_0(975)$ and $a_0(980)$ within realistic meson-exchange models of the $\pi\pi$ and $\pi\eta$ interactions. Starting from a modified version of the J\"ulich model for $\pi\pi$ scattering we perform an analysis of the pole structure of the resulting scattering amplitude and find, in contrast to existing models, a somewhat large mass for the $f_0(975)$ ($m_{f_0}=1015$ MeV, $\Gamma_{f_0}=30$ MeV). It is shown that our model provides a description of $J/\psi\rightarrow\phi\pi\pi/\phi KK$ data comparable in quality with those of alternative models. Furthermore, the formalism developed for the $\pi\pi$ system is consistently extended to the $\pi\eta$ interaction leading to a description of the $a_0(980)$ as a dynamically generated threshold effect (which is therefore neither a conventional $q\overline{q}$ state nor a $K\overline{K}$ bound state). Exploring the corresponding pole position the $a_0(980)$ is found to be rather broad ($m_{a_0}=991$ MeV, $\Gamma_{a_0}=202$ MeV). The experimentally observed smaller width results from the influence of the nearby $K\overline{K}$ threshold on this pole.
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"abstract": "We investigate the structure of the scalar mesons $f_0(975)$ and $a_0(980)$\nwithin realistic meson-exchange models of the $\\pi\\pi$ and $\\pi\\eta$\ninteractions. Starting from a modified version of the J\\\"ulich model for\n$\\pi\\pi$ scattering we perform an analysis of the pole structure of the\nresulting scattering amplitude and find, in contrast to existing models, a\nsomewhat large mass for the $f_0(975)$ ($m_{f_0}=1015$ MeV, $\\Gamma_{f_0}=30$\nMeV). It is shown that our model provides a description of\n$J/\\psi\\rightarrow\\phi\\pi\\pi/\\phi KK$ data comparable in quality with those of\nalternative models. Furthermore, the formalism developed for the $\\pi\\pi$\nsystem is consistently extended to the $\\pi\\eta$ interaction leading to a\ndescription of the $a_0(980)$ as a dynamically generated threshold effect\n(which is therefore neither a conventional $q\\overline{q}$ state nor a\n$K\\overline{K}$ bound state). Exploring the corresponding pole position the\n$a_0(980)$ is found to be rather broad ($m_{a_0}=991$ MeV, $\\Gamma_{a_0}=202$\nMeV). The experimentally observed smaller width results from the influence of\nthe nearby $K\\overline{K}$ threshold on this pole.",
"arxiv_id": "nucl-th/9411021",
"authors": [
"G. Janssen",
"B. C. Pearce",
"K. Holinde",
"J. Speth"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevD.52.2690",
"journal_ref": "Phys.Rev.D52:2690-2700,1995",
"title": "On the structure of the scalar mesons $f_0(975)$ and $a_0(980)$",
"url": "https://arxiv.org/abs/nucl-th/9411021"
},
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