Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1999-08-03
Few Body Syst. 30 (2001) 5-19; Prog.Part.Nucl.Phys. 44 (2000) 123-124
Physics
Nuclear Physics
Nuclear Theory
13 pages, 5 .eps figures, submitted to 'Few Body Systems'
Scientific paper
10.1016/S0146-6410(00)00065-X
The contribution to the binding energy of a two-body system due to the crossed two-boson exchange contribution is calculated, using the Bethe-Salpeter equation. This is done for distinguishable, scalar particles interacting via the exchange of scalar massive bosons. The sensitivity of the results to the off-shell behavior of the operator accounting for this contribution is discussed. Large corrections to the Bethe-Salpeter results in the ladder approximation are found. For neutral scalar bosons, the mass obtained for the two-body system is close to what has been calculated with various forms of the instantaneous approximation, including the standard non-relativistic approach. The specific character of this result is demonstrated by a calculation involving charged bosons, which evidences a quite different pattern. Our results explain for some part those obtained by Nieuwenhuis and Tjon on a different basis. Some discrepancy appears with increasing coupling constants, suggesting the existence of sizeable contributions involving more than two-boson exchanges.
Desplanques Bertrand
Theussl L.
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