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

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

2002-12-23

arxiv.org/abs/hep-ph/0212344v1

Few Body Syst. 33 (2003) 27-47

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages Latex, 7 figures, style file amssymb used

Scientific paper

10.1007/s00601-003-0006-2

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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