dorsal/arxiv
View SchemaPCAC Relation and Pion Production-Absorption in Nuclei
| Authors | T. Nogi, T. Sato, H. Ohtsubo |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0409034 |
| URL | https://arxiv.org/abs/nucl-th/0409034 |
Abstract
Nuclear PCAC relation is studied in the framework of the effective theory of nuclear interaction, in which the interaction of real pion production-absorption is expressed by many-body operators, and does not include the one-nucleon operator as was assumed in the conventional works, while the effective axial-vector current includes the one-nucleon current in contrast to the former interaction. This problem is investigated under the simple linear $\sigma$-model. Results are as folows: 1) The theory describes consistently the PCAC relation and the pion production-absorption process. 2) The conventional interpretation of the effective pion source function as the interaction Hamiltonian of pion production-absorption does not hold. 3) The effective pion source function still includes the one-nucleon operator for the pion production-absorption at threshold effectively, which may justify the conventional theory.
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"abstract": "Nuclear PCAC relation is studied in the framework of the effective theory of\nnuclear interaction, in which the interaction of real pion\nproduction-absorption is expressed by many-body operators, and does not include\nthe one-nucleon operator as was assumed in the conventional works, while the\neffective axial-vector current includes the one-nucleon current in contrast to\nthe former interaction. This problem is investigated under the simple linear\n$\\sigma$-model. Results are as folows: 1) The theory describes consistently the\nPCAC relation and the pion production-absorption process. 2) The conventional\ninterpretation of the effective pion source function as the interaction\nHamiltonian of pion production-absorption does not hold. 3) The effective pion\nsource function still includes the one-nucleon operator for the pion\nproduction-absorption at threshold effectively, which may justify the\nconventional theory.",
"arxiv_id": "nucl-th/0409034",
"authors": [
"T. Nogi",
"T. Sato",
"H. Ohtsubo"
],
"categories": [
"nucl-th"
],
"title": "PCAC Relation and Pion Production-Absorption in Nuclei",
"url": "https://arxiv.org/abs/nucl-th/0409034"
},
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