dorsal/arxiv
View SchemaImproved Coupled Channels and R-Matrix Models: Predictions to 1 Gev
| Authors | P. LaFrance, E. L. Lomon, M. Aw |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9306026 |
| URL | https://arxiv.org/abs/nucl-th/9306026 |
Abstract
The $NN$ scattering near inelastic threshold is sensitive to the long-range diagonal interaction in the produced isobar channel. Earlier models included meson exchange potentials in the $NN$ sector and connecting that sector to isobar channels, as well as an $R$-matrix description of short-range quark effects. Including the diagonal pion exchange contributions in the $N\Delta$ channels coupled to the very inelastic ${}^1D_2$ and ${}^3F_3$ $NN$ channels substantially improves those phase parameters and the observables $\Delta\sigma_{L}$ and $\Delta\sigma_{T}$. The same improvement is made to the other $I=1$ $NN$ channels. In the ${}^1S_0$ $NN$ channel coupling to the $\Delta\Delta$ channel is unusually important due to the $L=2$ angular momentum barrier in the $N\Delta$ channel. The pion exchange transition potentials between isobar channels are included in this partial wave to obtain the correct equilibrium between one- and two-pion decay channels. Other improvements to earlier models have been made, in the specification of isobar channels and the inclusion of decay width effects in more channels. A comparison is made with all the $pp$ data for $T_L \le 800$~MeV, producing a very good fit over the whole energy range.
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"abstract": "The $NN$ scattering near inelastic threshold is sensitive to the long-range\ndiagonal interaction in the produced isobar channel. Earlier models included\nmeson exchange potentials in the $NN$ sector and connecting that sector to\nisobar channels, as well as an $R$-matrix description of short-range quark\neffects. Including the diagonal pion exchange contributions in the $N\\Delta$\nchannels coupled to the very inelastic ${}^1D_2$ and ${}^3F_3$ $NN$ channels\nsubstantially improves those phase parameters and the observables\n$\\Delta\\sigma_{L}$ and $\\Delta\\sigma_{T}$. The same improvement is made to the\nother $I=1$ $NN$ channels. In the ${}^1S_0$ $NN$ channel coupling to the\n$\\Delta\\Delta$ channel is unusually important due to the $L=2$ angular momentum\nbarrier in the $N\\Delta$ channel. The pion exchange transition potentials\nbetween isobar channels are included in this partial wave to obtain the correct\nequilibrium between one- and two-pion decay channels. Other improvements to\nearlier models have been made, in the specification of isobar channels and the\ninclusion of decay width effects in more channels. A comparison is made with\nall the $pp$ data for $T_L \\le 800$~MeV, producing a very good fit over the\nwhole energy range.",
"arxiv_id": "nucl-th/9306026",
"authors": [
"P. LaFrance",
"E. L. Lomon",
"M. Aw"
],
"categories": [
"nucl-th"
],
"title": "Improved Coupled Channels and R-Matrix Models: Predictions to 1 Gev",
"url": "https://arxiv.org/abs/nucl-th/9306026"
},
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