Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-05-04
Nucl.Phys. B696 (2004) 413-444
Physics
High Energy Physics
High Energy Physics - Theory
36 pages, 16 figures
Scientific paper
10.1016/j.nuclphysb.2004.06.049
In the model where two massive scalar particles interact by the ladder exchanges of massless scalar particles (Wick-Cutkosky model), we study in light-front dynamics the contributions of different Fock sectors (with increasing number of exchanged particles) to full normalization integral and electromagnetic form factor. It turns out that two-body sector always dominates. At small coupling constant $\alpha\ll 1$, its contribution is close to 100%. It decreases with increase of $\alpha$. For maximal value $\alpha=2\pi$, corresponding to the zero bound state mass, two-body sector contributes to the normalization integral 64%, whereas the three-body contribution is 26% and the sum of all higher contributions from four- to infinite-body sectors is 10%. Contributions to the form factor from different Fock sectors fall off faster for asymptotically large $Q^2$, when the number of particles in the Fock sectors becomes larger. So, asymptotic behavior of the form factor is determined by the two-body Fock sector.
Hwang Dae Sung
Karmanov V. A.
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