dorsal/arxiv
View SchemaGeneralized polarizabilities of the nucleon studied in the linear sigma model (II)
| Authors | A. Metz, D. Drechsel |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9705010 |
| URL | https://arxiv.org/abs/nucl-th/9705010 |
| DOI | 10.1007/s002180050384 |
| Journal | Z.Phys. A359 (1997) 165-172 |
Abstract
In a previous paper virtual Compton scattering off the nucleon has been investigated in the one-loop approximation of the linear sigma model in order to determine the 3 scalar generalized polarizabilities. We have now extended this work and calculated the 7 vector polarizabilities showing up in the spin-dependent amplitude of virtual Compton scattering. The results fulfill 3 model-independent constraints recently derived. Compared to the constituent quark model there exist enormous differences for some of the vector polarizabilities. At vanishing three-momentum of the virtual photon, the analytical results of the sigma model and of chiral perturbation theory can be related. The influence of the $\pi^{0}$ exchange in the $t$ channel has been discussed in some detail. Besides, the vector polarizabilities determine 2 linear combinations of the third order spin-polarizabilities appearing in real Compton scattering.
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"abstract": "In a previous paper virtual Compton scattering off the nucleon has been\ninvestigated in the one-loop approximation of the linear sigma model in order\nto determine the 3 scalar generalized polarizabilities. We have now extended\nthis work and calculated the 7 vector polarizabilities showing up in the\nspin-dependent amplitude of virtual Compton scattering. The results fulfill 3\nmodel-independent constraints recently derived. Compared to the constituent\nquark model there exist enormous differences for some of the vector\npolarizabilities. At vanishing three-momentum of the virtual photon, the\nanalytical results of the sigma model and of chiral perturbation theory can be\nrelated. The influence of the $\\pi^{0}$ exchange in the $t$ channel has been\ndiscussed in some detail. Besides, the vector polarizabilities determine 2\nlinear combinations of the third order spin-polarizabilities appearing in real\nCompton scattering.",
"arxiv_id": "nucl-th/9705010",
"authors": [
"A. Metz",
"D. Drechsel"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1007/s002180050384",
"journal_ref": "Z.Phys. A359 (1997) 165-172",
"title": "Generalized polarizabilities of the nucleon studied in the linear sigma model (II)",
"url": "https://arxiv.org/abs/nucl-th/9705010"
},
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