dorsal/arxiv
View SchemaThe Quark-Photon Vertex and the Pion Charge Radius
| Authors | P. Maris, P. C. Tandy |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9910033 |
| URL | https://arxiv.org/abs/nucl-th/9910033 |
| DOI | 10.1103/PhysRevC.61.045202 |
| Journal | Phys.Rev.C61:045202,2000 |
Abstract
The rainbow truncation of the quark Dyson-Schwinger equation is combined with the ladder Bethe-Salpeter equation for the dressed quark-photon vertex to study the low-momentum behavior of the pion electromagnetic form factor. With model gluon parameters previously fixed by the pion mass and decay constant, the pion charge radius $r_\pi$ is found to be in excellent agreement with the data. When the often-used Ball-Chiu Ansatz is used to construct the quark-photon vertex directly from the quark propagator, less than half of $r_\pi^2$ is generated. The remainder of $r^2_\pi$ is seen to be attributable to the presence of the $\rho$-pole in the solution of the ladder Bethe-Salpeter equation.
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"abstract": "The rainbow truncation of the quark Dyson-Schwinger equation is combined with\nthe ladder Bethe-Salpeter equation for the dressed quark-photon vertex to study\nthe low-momentum behavior of the pion electromagnetic form factor. With model\ngluon parameters previously fixed by the pion mass and decay constant, the pion\ncharge radius $r_\\pi$ is found to be in excellent agreement with the data. When\nthe often-used Ball-Chiu Ansatz is used to construct the quark-photon vertex\ndirectly from the quark propagator, less than half of $r_\\pi^2$ is generated.\nThe remainder of $r^2_\\pi$ is seen to be attributable to the presence of the\n$\\rho$-pole in the solution of the ladder Bethe-Salpeter equation.",
"arxiv_id": "nucl-th/9910033",
"authors": [
"P. Maris",
"P. C. Tandy"
],
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"nucl-th"
],
"doi": "10.1103/PhysRevC.61.045202",
"journal_ref": "Phys.Rev.C61:045202,2000",
"title": "The Quark-Photon Vertex and the Pion Charge Radius",
"url": "https://arxiv.org/abs/nucl-th/9910033"
},
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