dorsal/arxiv
View SchemaDelta isobar masses, large N_c relations, and the quark model
| Authors | Simon Capstick, Ron Workman |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9807025 |
| URL | https://arxiv.org/abs/nucl-th/9807025 |
| DOI | 10.1103/PhysRevD.59.014032 |
| Journal | Phys. Rev. D 59, 014032 (1998) |
Abstract
Motivated by recent remarks on the Delta+ mass and comparisons between the quark model and relations based on large-N_c with perturbative flavor breaking, two sets of Delta masses consistent with these constraints are constructed. These two sets, based either on an experimentally determined mass splitting or a quark model of isospin symmetry breaking, are shown to be inconsistent. The model dependence of this inconsistency is examined, and suggestions for improved experiments are made. An explicit quark model calculation and mass relations based on the large-N_c limit with perturbative flavor breaking are compared. The expected level of accuracy of such relations is realized in the quark model, except for mass relations spanning more than one SU(6) representation. It is shown that the Delta0 and Delta++ pole masses and Delta0 - Delta+ = (Delta- - Delta++)/3 about 1.5 MeV are more consistent with model expectations than the analogous Breit-Wigner masses and their splittings.
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"abstract": "Motivated by recent remarks on the Delta+ mass and comparisons between the\nquark model and relations based on large-N_c with perturbative flavor breaking,\ntwo sets of Delta masses consistent with these constraints are constructed.\nThese two sets, based either on an experimentally determined mass splitting or\na quark model of isospin symmetry breaking, are shown to be inconsistent. The\nmodel dependence of this inconsistency is examined, and suggestions for\nimproved experiments are made. An explicit quark model calculation and mass\nrelations based on the large-N_c limit with perturbative flavor breaking are\ncompared. The expected level of accuracy of such relations is realized in the\nquark model, except for mass relations spanning more than one SU(6)\nrepresentation. It is shown that the Delta0 and Delta++ pole masses and Delta0\n- Delta+ = (Delta- - Delta++)/3 about 1.5 MeV are more consistent with model\nexpectations than the analogous Breit-Wigner masses and their splittings.",
"arxiv_id": "nucl-th/9807025",
"authors": [
"Simon Capstick",
"Ron Workman"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevD.59.014032",
"journal_ref": "Phys. Rev. D 59, 014032 (1998)",
"title": "Delta isobar masses, large N_c relations, and the quark model",
"url": "https://arxiv.org/abs/nucl-th/9807025"
},
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