The Selfenergy corrections to the light cone two-body equation in phi**3 theories
Jan 7, 199415 pages
Published in:
- Phys.Lett.B 322 (1994) 389-396
Report number:
- SNUTP-93-89
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Abstract: (Elsevier)
The light-cone ladder approximation in the Wick-Cutkosky model is extended to the lowest order light-cone Tamm-Dancoff approximation which includes the self-energy corrections and counter-terms. The light-cone two-body equation is modified by the term corresponding to the self-energy corrections and counter-terms. The analytic relation between the coupling constant, α, and the binding energy, β, which was previously derived for all nl states with l = n −1 under the light-cone ladder approximation is also modified by these corrections and compared with the numerical results obtained by a variational principle. The numerical estimate of this modification shows that self-energy effects are as repulsive as relativistic kinematic corrections and retardation effects and makes β become frozen as α increases. The probability of finding the three-body component inside the bound-state is also compared with that of finding the two-body component and the ratio of two probabilities is calculated for several different α values investigating the self-energy effects to this ratio.- phi**n model: 3
- Tamm-Dancoff approximation: light cone
- bound state: two-particle
- renormalization
- wave function
- binding energy
- numerical calculations
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