dorsal/arxiv
View SchemaTwo-pion exchange potential and the $\pi N$ amplitude
| Authors | M. T. Peña, Franz Gross, Yohanes Surya |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9605041 |
| URL | https://arxiv.org/abs/nucl-th/9605041 |
| DOI | 10.1103/PhysRevC.54.2235 |
| Journal | Phys.Rev.C54:2235-2239,1996 |
Abstract
We discuss the two-pion exchange potential which emerges from a box diagram with one nucleon (the spectator) restricted to its mass shell, and the other nucleon line replaced by a subtracted, covariant $\pi N$ scattering amplitude which includes $\Delta$, Roper, and $D_{13}$ isobars, as well as contact terms and off-shell (non-pole) dressed nucleon terms. The $\pi N$ amplitude satisfies chiral symmetry constraints and fits $\pi N$ data below $\sim$ 700 MeV pion energy. We find that this TPE potential can be well approximated by the exchange of an effective sigma and delta meson, with parameters close to the ones used in one-boson-exchange models that fit $NN$ data below the pion production threshold.
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"abstract": "We discuss the two-pion exchange potential which emerges from a box diagram\nwith one nucleon (the spectator) restricted to its mass shell, and the other\nnucleon line replaced by a subtracted, covariant $\\pi N$ scattering amplitude\nwhich includes $\\Delta$, Roper, and $D_{13}$ isobars, as well as contact terms\nand off-shell (non-pole) dressed nucleon terms. The $\\pi N$ amplitude satisfies\nchiral symmetry constraints and fits $\\pi N$ data below $\\sim$ 700 MeV pion\nenergy. We find that this TPE potential can be well approximated by the\nexchange of an effective sigma and delta meson, with parameters close to the\nones used in one-boson-exchange models that fit $NN$ data below the pion\nproduction threshold.",
"arxiv_id": "nucl-th/9605041",
"authors": [
"M. T. Pe\u00f1a",
"Franz Gross",
"Yohanes Surya"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.54.2235",
"journal_ref": "Phys.Rev.C54:2235-2239,1996",
"title": "Two-pion exchange potential and the $\\pi N$ amplitude",
"url": "https://arxiv.org/abs/nucl-th/9605041"
},
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