dorsal/arxiv
View SchemaLessons to be learned from the coherent photoproduction of pseudoscalar mesons
| Authors | L. J. Abu-Raddad, J. Piekarewicz, A. J. Sarty, R. A. Rego |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9812061 |
| URL | https://arxiv.org/abs/nucl-th/9812061 |
| DOI | 10.1103/PhysRevC.60.054606 |
| Journal | Phys.Rev. C60 (1999) 054606 |
Abstract
We study the coherent photoproduction of pseudoscalar mesons---particularly of neutral pions---placing special emphasis on the various sources that put into question earlier nonrelativistic-impulse-approximation calculations. These include: final-state interactions, relativistic effects, off-shell ambiguities, and violations to the impulse approximation. We establish that, while distortions play an essential role in the modification of the coherent cross section, the uncertainty in our results due to the various choices of optical-potential models is relatively small (of at most 30%). By far the largest uncertainty emerges from the ambiguity in extending the many on-shell-equivalent representations of the elementary amplitude off the mass shell. Indeed, relativistic impulse-approximation calculations that include the same pionic distortions, the same nuclear-structure model, and two sets of elementary amplitudes that are identical on-shell, lead to variations in the magnitude of the coherent cross section by up to factors of five. Finally, we address qualitatively the assumption of locality implicit in most impulse-approximation treatments, and suggest that the coherent reaction probes---in addition to the nuclear density---the polarization structure of the nucleus.
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"abstract": "We study the coherent photoproduction of pseudoscalar mesons---particularly\nof neutral pions---placing special emphasis on the various sources that put\ninto question earlier nonrelativistic-impulse-approximation calculations. These\ninclude: final-state interactions, relativistic effects, off-shell ambiguities,\nand violations to the impulse approximation. We establish that, while\ndistortions play an essential role in the modification of the coherent cross\nsection, the uncertainty in our results due to the various choices of\noptical-potential models is relatively small (of at most 30%). By far the\nlargest uncertainty emerges from the ambiguity in extending the many\non-shell-equivalent representations of the elementary amplitude off the mass\nshell. Indeed, relativistic impulse-approximation calculations that include the\nsame pionic distortions, the same nuclear-structure model, and two sets of\nelementary amplitudes that are identical on-shell, lead to variations in the\nmagnitude of the coherent cross section by up to factors of five. Finally, we\naddress qualitatively the assumption of locality implicit in most\nimpulse-approximation treatments, and suggest that the coherent reaction\nprobes---in addition to the nuclear density---the polarization structure of the\nnucleus.",
"arxiv_id": "nucl-th/9812061",
"authors": [
"L. J. Abu-Raddad",
"J. Piekarewicz",
"A. J. Sarty",
"R. A. Rego"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.60.054606",
"journal_ref": "Phys.Rev. C60 (1999) 054606",
"title": "Lessons to be learned from the coherent photoproduction of pseudoscalar mesons",
"url": "https://arxiv.org/abs/nucl-th/9812061"
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