dorsal/arxiv
View SchemaNN Core Interactions and Differential Cross Sections from One Gluon Exchange
| Authors | T. Barnes, S. Capstick, M. D. Kovarik, E. S. Swanson |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9302007 |
| URL | https://arxiv.org/abs/nucl-th/9302007 |
| DOI | 10.1103/PhysRevC.48.539 |
| Journal | Phys.Rev.C48:539-552,1993 |
Abstract
We derive nonstrange baryon-baryon scattering amplitudes in the nonrelativistic quark model using the ``quark Born diagram" formalism. This approach describes the scattering as a single interaction, here the one-gluon-exchange (OGE) spin-spin term followed by constituent interchange, with external nonrelativistic baryon wavefunctions attached to the scattering diagrams to incorporate higher-twist wavefunction effects. The short-range repulsive core in the NN interaction has previously been attributed to this spin-spin interaction in the literature; we find that these perturbative constituent-interchange diagrams do indeed predict repulsive interactions in all I,S channels of the nucleon-nucleon system, and we compare our results for the equivalent short-range potentials to the core potentials found by other authors using nonperturbative methods. We also apply our perturbative techniques to the N$\Delta$ and $\Delta\Delta$ systems: Some $\Delta\Delta$ channels are found to have attractive core potentials and may accommodate ``molecular" bound states near threshold. Finally we use our Born formalism to calculate the NN differential cross section, which we compare with experimental results for unpolarised proton-proton elastic scattering. We find that several familiar features of the experimental differential cross section are reproduced by our Born-order result.
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"abstract": "We derive nonstrange baryon-baryon scattering amplitudes in the\nnonrelativistic quark model using the ``quark Born diagram\" formalism. This\napproach describes the scattering as a single interaction, here the\none-gluon-exchange (OGE) spin-spin term followed by constituent interchange,\nwith external nonrelativistic baryon wavefunctions attached to the scattering\ndiagrams to incorporate higher-twist wavefunction effects. The short-range\nrepulsive core in the NN interaction has previously been attributed to this\nspin-spin interaction in the literature; we find that these perturbative\nconstituent-interchange diagrams do indeed predict repulsive interactions in\nall I,S channels of the nucleon-nucleon system, and we compare our results for\nthe equivalent short-range potentials to the core potentials found by other\nauthors using nonperturbative methods. We also apply our perturbative\ntechniques to the N$\\Delta$ and $\\Delta\\Delta$ systems: Some $\\Delta\\Delta$\nchannels are found to have attractive core potentials and may accommodate\n``molecular\" bound states near threshold. Finally we use our Born formalism to\ncalculate the NN differential cross section, which we compare with experimental\nresults for unpolarised proton-proton elastic scattering. We find that several\nfamiliar features of the experimental differential cross section are reproduced\nby our Born-order result.",
"arxiv_id": "nucl-th/9302007",
"authors": [
"T. Barnes",
"S. Capstick",
"M. D. Kovarik",
"E. S. Swanson"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.48.539",
"journal_ref": "Phys.Rev.C48:539-552,1993",
"title": "NN Core Interactions and Differential Cross Sections from One Gluon Exchange",
"url": "https://arxiv.org/abs/nucl-th/9302007"
},
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