STRING BARYON MODEL TRIANGLE

Authors
Citation
Gs. Sharov, STRING BARYON MODEL TRIANGLE, Theoretical and mathematical physics, 113(1), 1997, pp. 1263-1276
Citations number
11
ISSN journal
00405779
Volume
113
Issue
1
Year of publication
1997
Pages
1263 - 1276
Database
ISI
SICI code
0040-5779(1997)113:1<1263:>2.0.ZU;2-G
Abstract
In this paper, consideration is given to a baryon model in which three material points (quarks) are pairwise connected by relativistic strin gs forming a curvilinear triangle. For this model, we found and studie d classical solutions corresponding to a uniform rotation of the syste m in a plane about the center of mass. Along with the simplest state-a rotating curvilinear triangle with smooth sides-there can be more com plicated configurations characterized by the motion, at the velocity o f light, of some interior massless points of the string. In the limit, the closed string takes the form of a rotating hypocycloid as the qua rk masses tend to zero. The possibility of describing baryon states on Regge trajectories with the help of the above-mentioned solutions is analyzed.