dorsal/arxiv
View SchemaPion-Nucleon Scattering and the $\pi$NN Coupling Constant in the Chiral Color Dielectric Model
| Authors | Dinghui Lu, Shashikant C. Phatak, Rubin H. Landau |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9412021 |
| URL | https://arxiv.org/abs/nucl-th/9412021 |
| DOI | 10.1103/PhysRevC.51.2207 |
| Journal | Phys.Rev.C51:2207-2217,1995 |
Abstract
We apply the chiral color dielectric model to low- and medium-energy scattering within the coupled $\pi$N and $\pi\Delta$ system. Dynamic baryon states in which quarks are confined by the scalar color-dielectric field are constructed in Fock space. Spurious motion of the center of mass is eliminated by constructing momentum eigenstates via a Peierls-Yoccoz projection. The relativistic Lippmann-Schwinger equation is solved for the complex energies of the T matrix poles, and the pole positions of the nucleon and delta are used to fix the few parameters of the model. The $S$- and $P$-wave phase shifts, the bare N and $\Delta$ masses, the renormalized $\pi$NN and $\pi$N$\Delta$ coupling constants, and the $\pi$NN and $\pi$N$\Delta$ vertex functions are predicted. nucleon and delta are used to fix the few parameters of the model. The $S$- and $P$-wave phase shifts, the bare N and $\Delta$ masses, the renormalized $\pi$NN and $\pi$N$\Delta$ coupling constants, and the $\pi$NN and $\pi$N$\Delta$ vertex functions are predicted.
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"abstract": "We apply the chiral color dielectric model to low- and medium-energy\nscattering within the coupled $\\pi$N and $\\pi\\Delta$ system. Dynamic baryon\nstates in which quarks are confined by the scalar color-dielectric field are\nconstructed in Fock space. Spurious motion of the center of mass is eliminated\nby constructing momentum eigenstates via a Peierls-Yoccoz projection. The\nrelativistic Lippmann-Schwinger equation is solved for the complex energies of\nthe T matrix poles, and the pole positions of the nucleon and delta are used to\nfix the few parameters of the model. The $S$- and $P$-wave phase shifts, the\nbare N and $\\Delta$ masses, the renormalized $\\pi$NN and $\\pi$N$\\Delta$\ncoupling constants, and the $\\pi$NN and $\\pi$N$\\Delta$ vertex functions are\npredicted. nucleon and delta are used to fix the few parameters of the model.\nThe $S$- and $P$-wave phase shifts, the bare N and $\\Delta$ masses, the\nrenormalized $\\pi$NN and $\\pi$N$\\Delta$ coupling constants, and the $\\pi$NN and\n$\\pi$N$\\Delta$ vertex functions are predicted.",
"arxiv_id": "nucl-th/9412021",
"authors": [
"Dinghui Lu",
"Shashikant C. Phatak",
"Rubin H. Landau"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.51.2207",
"journal_ref": "Phys.Rev.C51:2207-2217,1995",
"title": "Pion-Nucleon Scattering and the $\\pi$NN Coupling Constant in the Chiral Color Dielectric Model",
"url": "https://arxiv.org/abs/nucl-th/9412021"
},
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