dorsal/arxiv
View SchemaSome electromagnetic properties of the nucleon from Relativistic Chiral Effective Field Theory
| Authors | Vladimir Pascalutsa |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0412008 |
| URL | https://arxiv.org/abs/nucl-th/0412008 |
| DOI | 10.1016/j.ppnp.2005.01.014 |
| Journal | Prog.Part.Nucl.Phys.55:23-34,2005 |
Abstract
Considering the magnetic moment and polarizabilities of the nucleon we emphasize the need for relativistic chiral EFT calculations. Our relativistic calculations are done via the forward-Compton-scattering sum rules, thus ensuring the correct analytic properties. The results obtained in this way are equivalent to the usual loop calculations, provided no heavy-baryon expansion or any other manipulations which lead to a different analytic structure (e.g., infrared regularization) are made. The Baldin sum rule can directly be applied to calculate the sum of nucleon polarizabilities. In contrast, the GDH sum rule is practically unsuitable for calculating the magnetic moments. The breakthrough is achieved by taking the derivatives of the sum rule with respect to the anomalous magnetic moment. As an example, we apply the derivative of the GDH sum rule to the calculation of the magnetic moment in QED and reproduce the famous Schwinger's correction from a tree-level cross-section calcualation. As far as the nucleon properties are concerned, we focus on two issues: 1) chiral behavior of the nucleon magnetic moment and 2) reconciliation of the chiral loop and $\Delta$-resonance contributions to the nucleon magnetic polarizability.
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"abstract": "Considering the magnetic moment and polarizabilities of the nucleon we\nemphasize the need for relativistic chiral EFT calculations. Our relativistic\ncalculations are done via the forward-Compton-scattering sum rules, thus\nensuring the correct analytic properties. The results obtained in this way are\nequivalent to the usual loop calculations, provided no heavy-baryon expansion\nor any other manipulations which lead to a different analytic structure (e.g.,\ninfrared regularization) are made. The Baldin sum rule can directly be applied\nto calculate the sum of nucleon polarizabilities. In contrast, the GDH sum rule\nis practically unsuitable for calculating the magnetic moments. The\nbreakthrough is achieved by taking the derivatives of the sum rule with respect\nto the anomalous magnetic moment. As an example, we apply the derivative of the\nGDH sum rule to the calculation of the magnetic moment in QED and reproduce the\nfamous Schwinger\u0027s correction from a tree-level cross-section calcualation. As\nfar as the nucleon properties are concerned, we focus on two issues: 1) chiral\nbehavior of the nucleon magnetic moment and 2) reconciliation of the chiral\nloop and $\\Delta$-resonance contributions to the nucleon magnetic\npolarizability.",
"arxiv_id": "nucl-th/0412008",
"authors": [
"Vladimir Pascalutsa"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1016/j.ppnp.2005.01.014",
"journal_ref": "Prog.Part.Nucl.Phys.55:23-34,2005",
"title": "Some electromagnetic properties of the nucleon from Relativistic Chiral Effective Field Theory",
"url": "https://arxiv.org/abs/nucl-th/0412008"
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