dorsal/arxiv
View SchemaVirtual Compton scattering off spin-zero particles at low energies
| Authors | H. W. Fearing, S. Scherer |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9607056 |
| URL | https://arxiv.org/abs/nucl-th/9607056 |
| DOI | 10.1007/s006010050067 |
| Journal | Few Body Syst. 23 (1998) 111-126 |
Abstract
We discuss the low-energy behavior of the virtual Compton scattering amplitude off a spin-zero target. We first compare various methods of obtaining a low-energy expression based either on the soft-photon approximation or the use of Ward-Takahashi identities. We point out that structure-dependent terms are defined with respect to a low-energy approximation of the pole terms which commonly is separated from the full amplitude. We derive a general expression for the structure-dependent terms in an expansion in terms of the momenta $k_1$ and $k_2$ of the initial and final virtual photon, respectively, up to and including terms of order ${\cal O}(k^4)$. At order ${\cal O}(k^2)$ two terms appear which are related to the usual electric and magnetic polarizabilities of real Compton scattering. At order ${\cal O}(k^4)$ we find nine new structures of which five can only be determined using virtual photons.
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"abstract": "We discuss the low-energy behavior of the virtual Compton scattering\namplitude off a spin-zero target. We first compare various methods of obtaining\na low-energy expression based either on the soft-photon approximation or the\nuse of Ward-Takahashi identities. We point out that structure-dependent terms\nare defined with respect to a low-energy approximation of the pole terms which\ncommonly is separated from the full amplitude. We derive a general expression\nfor the structure-dependent terms in an expansion in terms of the momenta $k_1$\nand $k_2$ of the initial and final virtual photon, respectively, up to and\nincluding terms of order ${\\cal O}(k^4)$. At order ${\\cal O}(k^2)$ two terms\nappear which are related to the usual electric and magnetic polarizabilities of\nreal Compton scattering. At order ${\\cal O}(k^4)$ we find nine new structures\nof which five can only be determined using virtual photons.",
"arxiv_id": "nucl-th/9607056",
"authors": [
"H. W. Fearing",
"S. Scherer"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1007/s006010050067",
"journal_ref": "Few Body Syst. 23 (1998) 111-126",
"title": "Virtual Compton scattering off spin-zero particles at low energies",
"url": "https://arxiv.org/abs/nucl-th/9607056"
},
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