dorsal/arxiv
View SchemaRelativistic meson spectroscopy
| Authors | H. Hersbach |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9305010 |
| URL | https://arxiv.org/abs/nucl-th/9305010 |
Abstract
In this paper a relativistic quantum theory introduced by de Groot and \mbox{Ruijgrok} in 1975, is used as a quark model in momentum space. The complete spectrum, with the exception of the selfconjugate light unflavoured mesons, is calculated. The potential used consists of an one-gluon-exchange (OGE) part and a confining part. For the confining part a relativistic generalization of the linear plus constant potential was used, which is well-defined in momentum space without introducing any singularities. For the OGE part several potentials were investigated. Retardations were included at all places. Using a fitting procedure involving 52 well-established mesons, best results were obtained for a potential consisting of a purely vector Richardson potential and a purely scalar confining potential. In this way a vector confining is entirely induced by the Richardson potential. Reasonable results were also obtained for a modified Richardson potential. Most meson masses, with the exception of the $\pi$, the $K$ and the $K_0^*$, were found to be reasonably well described by the model.
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"abstract": "In this paper a relativistic quantum theory introduced by de Groot and\n\\mbox{Ruijgrok} in 1975, is used as a quark model in momentum space. The\ncomplete spectrum, with the exception of the selfconjugate light unflavoured\nmesons, is calculated. The potential used consists of an one-gluon-exchange\n(OGE) part and a confining part. For the confining part a relativistic\ngeneralization of the linear plus constant potential was used, which is\nwell-defined in momentum space without introducing any singularities. For the\nOGE part several potentials were investigated. Retardations were included at\nall places. Using a fitting procedure involving 52 well-established mesons,\nbest results were obtained for a potential consisting of a purely vector\nRichardson potential and a purely scalar confining potential. In this way a\nvector confining is entirely induced by the Richardson potential. Reasonable\nresults were also obtained for a modified Richardson potential. Most meson\nmasses, with the exception of the $\\pi$, the $K$ and the $K_0^*$, were found to\nbe reasonably well described by the model.",
"arxiv_id": "nucl-th/9305010",
"authors": [
"H. Hersbach"
],
"categories": [
"nucl-th",
"hep-ph"
],
"title": "Relativistic meson spectroscopy",
"url": "https://arxiv.org/abs/nucl-th/9305010"
},
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