dorsal/arxiv
View SchemaLorentz Multiplet Structure of Baryon Spectra and Relativistic Description
| Authors | M. Kirchbach |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9712072 |
| URL | https://arxiv.org/abs/nucl-th/9712072 |
| DOI | 10.1142/S0217732397003307 |
| Journal | Mod.Phys.Lett. A12 (1997) 3177-3188 |
Abstract
The pole positions of the various baryon resonances are known to reveal well-pronounced clustering, so-called Hoehler clusters. For nonstrange baryons the Hoehler clusters are shown to be identical to Lorentz multiplets of the type (j,j)*[(1/2,0)+(0,1/2)] with j being a half-integer. For the Lambda hyperons below 1800 MeV these clusters are shown to be of the type [(1,0)+ (0,1)]*[(1/2,0)+(0,1/2)] while above 1800 MeV they are parity duplicated (J,0)+(0,J) (Weinberg-Ahluwalia) states. Therefore, for Lambda hyperons the restoration of chiral symmetry takes place above 1800 MeV. Finally, it is demonstrated that the description of spin-3/2 particles in terms of a 2nd rank antisymmetric Lorentz tensor with Dirac spinor components does not contain any off-shell parameters and avoids the main difficulties of the Rarita-Schwinger description based upon a 4-vector with Dirac spinor components.
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"abstract": "The pole positions of the various baryon resonances are known to reveal\nwell-pronounced clustering, so-called Hoehler clusters. For nonstrange baryons\nthe Hoehler clusters are shown to be identical to Lorentz multiplets of the\ntype (j,j)*[(1/2,0)+(0,1/2)] with j being a half-integer. For the Lambda\nhyperons below 1800 MeV these clusters are shown to be of the type [(1,0)+\n(0,1)]*[(1/2,0)+(0,1/2)] while above 1800 MeV they are parity duplicated\n(J,0)+(0,J) (Weinberg-Ahluwalia) states. Therefore, for Lambda hyperons the\nrestoration of chiral symmetry takes place above 1800 MeV. Finally, it is\ndemonstrated that the description of spin-3/2 particles in terms of a 2nd rank\nantisymmetric Lorentz tensor with Dirac spinor components does not contain any\noff-shell parameters and avoids the main difficulties of the Rarita-Schwinger\ndescription based upon a 4-vector with Dirac spinor components.",
"arxiv_id": "nucl-th/9712072",
"authors": [
"M. Kirchbach"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1142/S0217732397003307",
"journal_ref": "Mod.Phys.Lett. A12 (1997) 3177-3188",
"title": "Lorentz Multiplet Structure of Baryon Spectra and Relativistic Description",
"url": "https://arxiv.org/abs/nucl-th/9712072"
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