dorsal/arxiv
View SchemaAxial, induced pseudoscalar, and pion-nucleon form factors in manifestly Lorentz-invariant chiral perturbation theory
| Authors | M. R. Schindler, T. Fuchs, J. Gegelia, S. Scherer |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0611083 |
| URL | https://arxiv.org/abs/nucl-th/0611083 |
| DOI | 10.1103/PhysRevC.75.025202 |
| Journal | Phys.Rev.C75:025202,2007 |
Abstract
We calculate the nucleon form factors G_A and G_P of the isovector axial-vector current and the pion-nucleon form factor G_piN in manifestly Lorentz-invariant baryon chiral perturbation theory up to and including order O(p^4). In addition to the standard treatment including the nucleon and pions, we also consider the axial-vector meson a_1 as an explicit degree of freedom. This is achieved by using the reformulated infrared renormalization scheme. We find that the inclusion of the axial-vector meson effectively results in one additional low-energy coupling constant that we determine by a fit to the data for G_A. The inclusion of the axial-vector meson results in an improved description of the experimental data for G_A, while the contribution to G_P is small.
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"abstract": "We calculate the nucleon form factors G_A and G_P of the isovector\naxial-vector current and the pion-nucleon form factor G_piN in manifestly\nLorentz-invariant baryon chiral perturbation theory up to and including order\nO(p^4). In addition to the standard treatment including the nucleon and pions,\nwe also consider the axial-vector meson a_1 as an explicit degree of freedom.\nThis is achieved by using the reformulated infrared renormalization scheme. We\nfind that the inclusion of the axial-vector meson effectively results in one\nadditional low-energy coupling constant that we determine by a fit to the data\nfor G_A. The inclusion of the axial-vector meson results in an improved\ndescription of the experimental data for G_A, while the contribution to G_P is\nsmall.",
"arxiv_id": "nucl-th/0611083",
"authors": [
"M. R. Schindler",
"T. Fuchs",
"J. Gegelia",
"S. Scherer"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.75.025202",
"journal_ref": "Phys.Rev.C75:025202,2007",
"title": "Axial, induced pseudoscalar, and pion-nucleon form factors in manifestly Lorentz-invariant chiral perturbation theory",
"url": "https://arxiv.org/abs/nucl-th/0611083"
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