Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-09-22
Eur.Phys.J. C32 (2003) 385-397
Physics
High Energy Physics
High Energy Physics - Phenomenology
28 pages, 5 figures, submitted to EPJ C
Scientific paper
10.1140/epjc/s2003-01416-9
We discuss the validity of replacing the complicated three-body confinement operator of the Y string junction type by three kinds of approximation which are numerically much simpler to handle: a one-body operator with the junction point at the centre of mass, a two-body operator corresponding to half the perimeter of the triangle formed by the three particles, and the average of both. Two different approaches for testing the quality of the approximations are proposed: a geometrical treatment based on the comparison of the potential energy strengths for the various inter quark distances, and a dynamical treatment based on the comparison of the corresponding effective string tensions using a hyperspherical approach. Both procedures give very similar results. It is shown how to simulate the genuine string junction operator by the approximations proposed above. Exact three-body calculations are presented in order to compare quantitatively the various approximations and to confirm our analysis.
Narodetskii Ilya M.
Semay Claude
Silvestre-Brac Bernard
Veselov A. I.
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