dorsal/arxiv
View SchemaMeson-Baryon Form Factors in Chiral Colour Dielectric Model
| Authors | S. C. Phatak |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9805009 |
| URL | https://arxiv.org/abs/nucl-th/9805009 |
| DOI | 10.1103/PhysRevC.58.2383 |
| Journal | Phys.Rev.C58:2383-2392,1998 |
Abstract
The renormalised form factors for pseudoscalar meson-baryon coupling are computed in chiral colour dielectric model. This has been done by rearranging the Lippmann-Schwinger series for the meson baryon scattering matrix so that it can be expressed as a baryon pole term with renormalized form factors and baryon masses and the rest of the terms which arise from the crossed diagrams. Thus we are able to obtain an integral equation for the renormalized meson-baryon form factors in terms of the bare form factors as well as an expression for the meson self energy. This integral equation is solved and renormalized meson baryon form factors and renormalized baryon masses are computed. The parameters of the model are adjusted to obtain a best fit to the physical baryon masses. The calculations show that the renormalized form factors are energy-dependent and differ from the bare form factors primarily at momentum transfers smaller than 1 GeV. At nucleon mass, the change in the form factors is about 10% at zero momentum transfer. The computed form factors are soft with the equivalent monopole cut-off mass of about 500 MeV. The renormalized coupling constants are obtained by comparing the chiral colour dielectric model interaction Hamiltonian with the standard form of meson-nucleon interaction Hamiltonian. The ratio of $\Delta N\pi$ and $NN\pi$ coupling constants is found to be about 2.15. This value is very close to the experimental value.
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"abstract": "The renormalised form factors for pseudoscalar meson-baryon coupling are\ncomputed in chiral colour dielectric model. This has been done by rearranging\nthe Lippmann-Schwinger series for the meson baryon scattering matrix so that it\ncan be expressed as a baryon pole term with renormalized form factors and\nbaryon masses and the rest of the terms which arise from the crossed diagrams.\nThus we are able to obtain an integral equation for the renormalized\nmeson-baryon form factors in terms of the bare form factors as well as an\nexpression for the meson self energy. This integral equation is solved and\nrenormalized meson baryon form factors and renormalized baryon masses are\ncomputed. The parameters of the model are adjusted to obtain a best fit to the\nphysical baryon masses. The calculations show that the renormalized form\nfactors are energy-dependent and differ from the bare form factors primarily at\nmomentum transfers smaller than 1 GeV. At nucleon mass, the change in the form\nfactors is about 10% at zero momentum transfer. The computed form factors are\nsoft with the equivalent monopole cut-off mass of about 500 MeV. The\nrenormalized coupling constants are obtained by comparing the chiral colour\ndielectric model interaction Hamiltonian with the standard form of\nmeson-nucleon interaction Hamiltonian. The ratio of $\\Delta N\\pi$ and $NN\\pi$\ncoupling constants is found to be about 2.15. This value is very close to the\nexperimental value.",
"arxiv_id": "nucl-th/9805009",
"authors": [
"S. C. Phatak"
],
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"doi": "10.1103/PhysRevC.58.2383",
"journal_ref": "Phys.Rev.C58:2383-2392,1998",
"title": "Meson-Baryon Form Factors in Chiral Colour Dielectric Model",
"url": "https://arxiv.org/abs/nucl-th/9805009"
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