Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-12-23
Phys.Rev.D71:034019,2005
Physics
High Energy Physics
High Energy Physics - Phenomenology
4 figures, 4 tables
Scientific paper
10.1103/PhysRevD.71.034019
The contribution of the quark self energy to the meson masses is studied in the framework of the relativistic flux tube model. The equivalence between this phenomenological model and the more QCD based rotating string Hamiltonian is used as a guide to perform the calculations. It is shown that the addition of the quark self energy to the relativistic flux tube model preserves the linearity of the Regge trajectories. But, following the definition taken for the constituent quark masses, the Regge slope is preserved or decreased. In this last case, experimental data can only by reproduced by using a string tension around 0.245 GeV$^2$. Two procedures are also studied to treat the pure flux tube contribution as a perturbation of a spinless Salpeter Hamiltonian.
Buisseret Fabien
Semay Claude
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