dorsal/arxiv
View SchemaBaryon self energies in the chiral loop expansion
| Authors | A. Semke, M. F. M. Lutz |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0511061 |
| URL | https://arxiv.org/abs/nucl-th/0511061 |
| DOI | 10.1016/j.nuclphysa.2006.07.043 |
| Journal | Nucl.Phys.A778:153-180,2006 |
Abstract
We compute the self energies of the baryon octet and decuplet states at the one-loop level applying the manifestly covariant chiral Lagrangian. It is demonstrated that expressions consistent with the expectation of power counting rules arise if the self energies are decomposed according to the Passarino-Veltman scheme supplemented by a minimal subtraction. This defines a partial summation of the chiral expansion. A finite renormalization required to install chiral power counting rules leads to the presence of an infrared renormalization scale. Good convergence properties for the chiral loop expansion of the baryon octet and decuplet masses are obtained for natural values of the infrared scale. A prediction for the strange-quark matrix element of the nucleon is made.
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"abstract": "We compute the self energies of the baryon octet and decuplet states at the\none-loop level applying the manifestly covariant chiral Lagrangian. It is\ndemonstrated that expressions consistent with the expectation of power counting\nrules arise if the self energies are decomposed according to the\nPassarino-Veltman scheme supplemented by a minimal subtraction. This defines a\npartial summation of the chiral expansion. A finite renormalization required to\ninstall chiral power counting rules leads to the presence of an infrared\nrenormalization scale. Good convergence properties for the chiral loop\nexpansion of the baryon octet and decuplet masses are obtained for natural\nvalues of the infrared scale. A prediction for the strange-quark matrix element\nof the nucleon is made.",
"arxiv_id": "nucl-th/0511061",
"authors": [
"A. Semke",
"M. F. M. Lutz"
],
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"nucl-th"
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"doi": "10.1016/j.nuclphysa.2006.07.043",
"journal_ref": "Nucl.Phys.A778:153-180,2006",
"title": "Baryon self energies in the chiral loop expansion",
"url": "https://arxiv.org/abs/nucl-th/0511061"
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