Geodesic
String barionic model ``triangle''
Teoretičeskaâ i matematičeskaâ fizika, Tome 113 (1997) no. 1, pp. 68-84

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A considered barionic model consists of three point-like masses (quarks) bounded pairwise by relativistic strings that form a curvilinear triangle. Classical solutions for this model, corresponding to a planar uniform rotation about the system center of mass, are found and investigated. Together with the simplest state – rotating the curvilinear triangle – more complicated configurations are possible, which contain a set of internal massless points moving with the speed of light. In the zero quark mass limit the closed string has a form of a rotating hypocycloid. The possibility of describing barionic states on the Regge trajectories by these solutions is considered. 
@article{TMF_1997_113_1_a6,
     author = {G. S. Sharov},
     title = {String barionic model ``triangle''},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {68--84},
     publisher = {mathdoc},
     volume = {113},
     number = {1},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1997_113_1_a6/}
}
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G. S. Sharov. String barionic model ``triangle''. Teoretičeskaâ i matematičeskaâ fizika, Tome 113 (1997) no. 1, pp. 68-84. http://geodesic.mathdoc.fr/item/TMF_1997_113_1_a6/