dorsal/arxiv
View SchemaVirtual Compton scattering off the nucleon at low energies
| Authors | S. Scherer, A. Yu. Korchin, J. H. Koch |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9605030 |
| URL | https://arxiv.org/abs/nucl-th/9605030 |
| DOI | 10.1103/PhysRevC.54.904 |
| Journal | Phys.Rev.C54:904-919,1996 |
Abstract
We investigate the low-energy behavior of the four-point Green's function $\Gamma^{\mu\nu}$ describing virtual Compton scattering off the nucleon. Using Lorentz invariance, gauge invariance, and crossing symmetry, we derive the leading terms of an expansion of the operator in the four-momenta $q$ and $q'$ of the initial and final photon, respectively. The model-independent result is expressed in terms of the electromagnetic form factors of the free nucleon, i.e., on-shell information which one obtains from electron-nucleon scattering experiments. Model-dependent terms appear in the operator at $O(q_\alpha q'_\beta)$, whereas the orders $O(q_\alpha q_\beta)$ and $O(q'_\alpha q'_\beta)$ are contained in the low-energy theorem for $\Gamma^{\mu\nu}$, i.e., no new parameters appear. We discuss the leading terms of the matrix element and comment on the use of on-shell equivalent electromagnetic vertices in the calculation of ``Born terms'' for virtual Compton scattering.
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"abstract": "We investigate the low-energy behavior of the four-point Green\u0027s function\n$\\Gamma^{\\mu\\nu}$ describing virtual Compton scattering off the nucleon.\n Using Lorentz invariance, gauge invariance, and crossing symmetry, we derive\nthe leading terms of an expansion of the operator in the four-momenta $q$ and\n$q\u0027$ of the initial and final photon, respectively.\n The model-independent result is expressed in terms of the electromagnetic\nform factors of the free nucleon, i.e., on-shell information which one obtains\nfrom electron-nucleon scattering experiments.\n Model-dependent terms appear in the operator at $O(q_\\alpha q\u0027_\\beta)$,\nwhereas the orders $O(q_\\alpha q_\\beta)$ and $O(q\u0027_\\alpha q\u0027_\\beta)$ are\ncontained in the low-energy theorem for $\\Gamma^{\\mu\\nu}$, i.e., no new\nparameters appear.\n We discuss the leading terms of the matrix element and comment on the use of\non-shell equivalent electromagnetic vertices in the calculation of ``Born\nterms\u0027\u0027 for virtual Compton scattering.",
"arxiv_id": "nucl-th/9605030",
"authors": [
"S. Scherer",
"A. Yu. Korchin",
"J. H. Koch"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.54.904",
"journal_ref": "Phys.Rev.C54:904-919,1996",
"title": "Virtual Compton scattering off the nucleon at low energies",
"url": "https://arxiv.org/abs/nucl-th/9605030"
},
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