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arXiv · 1205.3812

Light-Front Dynamic Analysis of Bound States in Scalar Field Model

Chueng-Ryong Ji·Yukihisa Tokunaga
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Abstract

The light-front dynamics (LFD) of the scalar field model theory is analyzed to solve the two-body bound-state problem. The light-front two-body bound-state equation is extended to the full LFD kernel including the ladder, cross-ladder, stretched-box, and particle-antiparticle creation/annihilation effects to study the contributions of higher Fock-states. The light-front two-body equation is also modified by the term corresponding to the self-energy corrections and counter-terms. Using the variational principle, we obtain the numerical result of the binding energy B versus the coupling constant α for various mass ratios of the constituent particles including the cases of non-zero exchange particle mass. We also discuss the correlation between the mass spectrum and the corresponding bound-state wavefunction.

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Chueng-Ryong Ji, Yukihisa Tokunaga. 2012-05-16. Light-Front Dynamic Analysis of Bound States in Scalar Field Model. https://doi.org/10.1103/physrevd.86.054011

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