Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2000-05-23
Phys.Rev. C62 (2000) 054002
Physics
Nuclear Physics
Nuclear Theory
Revtex 13 pages, 5 figures, corrected some typos
Scientific paper
10.1103/PhysRevC.62.054002
We investigate the difference between those relativistic models based on interpreting a realistic nucleon-nucleon interaction as a perturbation of the square of a relativistic mass operator and those models that use the method of Kamada and Gl\"ockle to construct an equivalent interaction to add to the relativistic mass operator. Although both models reproduce the phase shifts and binding energy of the corresponding non-relativistic model, they are not scattering equivalent. The example of elastic electron-deuteron scattering in the one-photon-exchange approximation is used to study the sensitivity of three-body observables to these choices. Our conclusion is that the differences in the predictions of the two models can be understood in terms of the different ways in which the relativistic and non-relativistic $S$-matrices are related. We argue that the mass squared method is consistent with conventional procedures used to fit the Lorentz-invariant cross section as a function of the laboratory energy.
Allen T. W.
Payne G. L.
Polyzou Wayne N.
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