Baryon Mapping of Quark Systems

dc.creatorSambataro, M.
dc.date1995-10-19
dc.date.accessioned2026-07-07T11:15:31Z
dc.date.available2026-07-07T11:15:31Z
dc.descriptionWe discuss a mapping procedure from a space of colorless three-quark clusters into a space of elementary baryons and illustrate it in the context of a three-color extension of the Lipkin model recently developed. Special attention is addressed to the problem of the formation of unphysical states in the mapped space. A correspondence is established between quark and baryon spaces and the baryon image of a generic quark operator is defined both in its Hermitian and non-Hermitian forms. Its spectrum (identical in the two cases) is found to consist of a physical part containing the same eigenvalues of the quark operator in the cluster space and an unphysical part consisting only of zero eigenvalues. A physical subspace of the baryon space is also defined where the latter eigenvalues are suppressed. The procedure discussed is quite general and applications of it can be thought also in the correspondence between systems of 2n fermions and n bosons.
dc.description22 pages, LateX, to appear in Phys. Rev. C
dc.identifierhttps://arxiv.org/abs/nucl-th/9510038
dc.identifierhttp://arxiv.org/abs/nucl-th/9510038
dc.identifierPhys.Rev.C52:3378-3385,1995
dc.identifierdoi:10.1103/PhysRevC.52.3378
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192411
dc.subjectNuclear Theory
dc.titleBaryon Mapping of Quark Systems
dc.typetext

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