dorsal/arxiv
View SchemaBB Intermeson Potentials in the Quark Model
| Authors | T. Barnes, N. Black, D. J. Dean, E. S. Swanson |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9902068 |
| URL | https://arxiv.org/abs/nucl-th/9902068 |
| DOI | 10.1103/PhysRevC.60.045202 |
| Journal | Phys.Rev. C60 (1999) 045202 |
Abstract
In this paper we derive quark model results for scattering amplitudes and equivalent low energy potentials for heavy meson pairs, in which each meson contains a heavy quark. This "BB" system is an attractive theoretical laboratory for the study of the nuclear force between color singlets; the hadronic system is relatively simple, and there are lattice gauge theory (LGT) results for V_BB(r) which may be compared to phenomenological models. We find that the quark model potential (after lattice smearing) has qualitative similarities to the LGT potential in the two B*B* channels in which direct comparison is possible, although there is evidence of a difference in length scales. The quark model prediction of equal magnitude but opposite sign for I=0 and I=1 potentials also appears similar to LGT results at intermediate r. There may however be a discrepancy between the LGT and quark model I=1 BB potentials. A numerical study of the two-meson Schrodinger equations in the (bqbar)(bqbar) and (cqbar)(cqbar) sectors with the quark model potentials finds a single "molecule", in the I=0 BB* sector. Binding in other channels might occur if the quark model forces are augmented by pion exchange.
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"abstract": "In this paper we derive quark model results for scattering amplitudes and\nequivalent low energy potentials for heavy meson pairs, in which each meson\ncontains a heavy quark. This \"BB\" system is an attractive theoretical\nlaboratory for the study of the nuclear force between color singlets; the\nhadronic system is relatively simple, and there are lattice gauge theory (LGT)\nresults for V_BB(r) which may be compared to phenomenological models. We find\nthat the quark model potential (after lattice smearing) has qualitative\nsimilarities to the LGT potential in the two B*B* channels in which direct\ncomparison is possible, although there is evidence of a difference in length\nscales. The quark model prediction of equal magnitude but opposite sign for I=0\nand I=1 potentials also appears similar to LGT results at intermediate r. There\nmay however be a discrepancy between the LGT and quark model I=1 BB potentials.\nA numerical study of the two-meson Schrodinger equations in the (bqbar)(bqbar)\nand (cqbar)(cqbar) sectors with the quark model potentials finds a single\n\"molecule\", in the I=0 BB* sector. Binding in other channels might occur if the\nquark model forces are augmented by pion exchange.",
"arxiv_id": "nucl-th/9902068",
"authors": [
"T. Barnes",
"N. Black",
"D. J. Dean",
"E. S. Swanson"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.60.045202",
"journal_ref": "Phys.Rev. C60 (1999) 045202",
"title": "BB Intermeson Potentials in the Quark Model",
"url": "https://arxiv.org/abs/nucl-th/9902068"
},
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