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arXiv · hep-ph/0212344

Comparison of relativistic bound-state calculations in Front-Form and Instant-Form Dynamics

B. L. G. Bakker·M. van Iersel·F. Pijlman
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Abstract

Using the Wick-Cutkosky model and an extended version (massive exchange) of it, we have calculated the bound states in a quantum field theoretical approach. In the light-front formalism we have calculated the bound-state mass spectrum and wave functions. Using the Terent'ev transformation we can write down an approximation for the angular dependence of the wave function. After calculating the bound-state spectra we characterized all states found. Similarly, we have calculated the bound-state spectrum and wave functions in the instant-form formalism. We compare the spectra found in both forms of dynamics in the ladder approximation and show that in both forms of dynamics the O(4) symmetry is broken.

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B. L. G. Bakker, M. van Iersel, F. Pijlman. 2002-12-23. Comparison of relativistic bound-state calculations in Front-Form and Instant-Form Dynamics. https://doi.org/10.1007/s00601-003-0006-2

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