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Comparison of Relativistic Nucleon-Nucleon Interactions
Journal article   Open access   Peer reviewed

Comparison of Relativistic Nucleon-Nucleon Interactions

T. W Allen, G. L Payne and Wayne N Polyzou
Physical review. C, Nuclear physics, Vol.62(5), pp.540021-540027
11/01/2000
DOI: 10.1103/PhysRevC.62.054002
url
https://arxiv.org/pdf/nucl-th/0005062View
Open Access

Abstract

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 Glöckle 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 nonrelativistic 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 nonrelativistic 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.
 Physics - Nuclear Theory

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