dorsal/arxiv
View SchemaSurvey of charge symmetry breaking operators for dd -> alpha pi0
| Authors | A. Gardestig, C. J. Horowitz, A. Nogga, A. C. Fonseca, C. Hanhart, G. A. Miller, J. A. Niskanen, U. van Kolck |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0402021 |
| URL | https://arxiv.org/abs/nucl-th/0402021 |
| DOI | 10.1103/PhysRevC.69.044606 |
| Journal | Phys.Rev. C69 (2004) 044606 |
Abstract
The charge-symmetry-breaking amplitudes for the recently observed d d -> alpha pi0 reaction are investigated. Chiral perturbation theory is used to classify and identify the leading-order terms. Specific forms of the related one- and two-body tree level diagrams are derived. As a first step toward a full calculation, a few tree-level two-body diagrams are evaluated at each considered order, using a simplified set of d and alpha wave functions and a plane-wave approximation for the initial dd state. The leading-order pion-exchange term is shown to be suppressed in this model because of poor overlap of the initial and final states. The higher-order one-body and short-range (heavy-meson-exchange) amplitudes provide better matching between the initial and final states and therefore contribute significantly and coherently to the cross section. The consequences this might have for a full calculation, with realistic wave functions and a more complete set of amplitudes, are discussed.
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"abstract": "The charge-symmetry-breaking amplitudes for the recently observed d d -\u003e\nalpha pi0 reaction are investigated. Chiral perturbation theory is used to\nclassify and identify the leading-order terms. Specific forms of the related\none- and two-body tree level diagrams are derived. As a first step toward a\nfull calculation, a few tree-level two-body diagrams are evaluated at each\nconsidered order, using a simplified set of d and alpha wave functions and a\nplane-wave approximation for the initial dd state. The leading-order\npion-exchange term is shown to be suppressed in this model because of poor\noverlap of the initial and final states. The higher-order one-body and\nshort-range (heavy-meson-exchange) amplitudes provide better matching between\nthe initial and final states and therefore contribute significantly and\ncoherently to the cross section. The consequences this might have for a full\ncalculation, with realistic wave functions and a more complete set of\namplitudes, are discussed.",
"arxiv_id": "nucl-th/0402021",
"authors": [
"A. Gardestig",
"C. J. Horowitz",
"A. Nogga",
"A. C. Fonseca",
"C. Hanhart",
"G. A. Miller",
"J. A. Niskanen",
"U. van Kolck"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.69.044606",
"journal_ref": "Phys.Rev. C69 (2004) 044606",
"title": "Survey of charge symmetry breaking operators for dd -\u003e alpha pi0",
"url": "https://arxiv.org/abs/nucl-th/0402021"
},
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