Many-body Fock sectors in Wick-Cutkosky model

Abstract

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.

arXiv comment36 pages, 16 figures

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• Bethe-Salpeter bound-state structure in Minkowski space
• Ab Initio Approach to the Non-Perturbative Scalar Yukawa Model
• Light-Front projection of spin-1 electromagnetic current and zero-modes
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• Non-Perturbative Calculation of the Scalar Yukawa Theory in Four-Body Truncation
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• A covariant investigation of Neutral Vector Mesons: dynamical properties and electromagnetic decay widths
• Relativistic descriptions of few-body systems
• Abnormal Bound Systems