dorsal/arxiv
View Schema$\pi NN$ and $\pi N\Delta$ formfactors determined from a microscopic model for $\pi N$ scattering
| Authors | C. Schütz, K. Holinde |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9508021 |
| URL | https://arxiv.org/abs/nucl-th/9508021 |
| DOI | 10.1103/PhysRevC.54.1561 |
| Journal | Phys.Rev.C54:1561-1565,1996 |
Abstract
We determine the $\pi NN$ and $\pi N\Delta$ formfactors from the $P_{11}$ resp. $P_{33}$ partial wave of $\pi N$ scattering by dressing corresponding bare vertices with the help of $\pi N$ non--pole contributions. The underlying model is based on meson exchange, and involves nucleon and delta--isobar pole and crossed--pole terms together with correlated $\pi\pi$--exchange in the $J^P=0^+$ ($\sigma$) and $1^-$ ($\rho$) channel. The results are very similar for $\pi NN$ and $\pi N\Delta$ and can be roughly parametrized by a monopole with cutoff mass $>$ 500 MeV, with some variation due to model dependencies. Thus the formfactors are much less soft than derived before for the $\pi NN$ case by Saito and Afnan using the same procedure but different $\pi N$ interaction models.
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"abstract": "We determine the $\\pi NN$ and $\\pi N\\Delta$ formfactors from the $P_{11}$\nresp. $P_{33}$ partial wave of $\\pi N$ scattering by dressing corresponding\nbare vertices with the help of $\\pi N$ non--pole contributions. The underlying\nmodel is based on meson exchange, and involves nucleon and delta--isobar pole\nand crossed--pole terms together with correlated $\\pi\\pi$--exchange in the\n$J^P=0^+$ ($\\sigma$) and $1^-$ ($\\rho$) channel. The results are very similar\nfor $\\pi NN$ and $\\pi N\\Delta$ and can be roughly parametrized by a monopole\nwith cutoff mass $\u003e$ 500 MeV, with some variation due to model dependencies.\nThus the formfactors are much less soft than derived before for the $\\pi NN$\ncase by Saito and Afnan using the same procedure but different $\\pi N$\ninteraction models.",
"arxiv_id": "nucl-th/9508021",
"authors": [
"C. Sch\u00fctz",
"K. Holinde"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.54.1561",
"journal_ref": "Phys.Rev.C54:1561-1565,1996",
"title": "$\\pi NN$ and $\\pi N\\Delta$ formfactors determined from a microscopic model for $\\pi N$ scattering",
"url": "https://arxiv.org/abs/nucl-th/9508021"
},
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