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Lorentz Boosted NN Potential for Few-Body Systems: Application to the three-nucleon bound state

H. Kamada·W. Gloeckle·J. Golak·Ch. Elster
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Abstract

A Lorentz boosted two-nucleon potential is introduced in the context of equal time relativistic quantum mechanics. The dynamical input for the boosted nucleon-nucleon (NN) potential is based on realistic NN potentials, which by a suitable scaling of the momenta are transformed into NN potentials belonging to a relativistic two-nucleon Schroedinger equation in the c.m. system. This resulting Lorentz boosted potential is consistent with a previously introduced boosted two-body t-matrix. It is applied in relativistic Faddeev equations for the three-nucleon bound state to calculate the ^3H binding energy. Like in previous calculations the boost effects for the two-body subsystems are repulsive and lower the binding energy.

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H. Kamada, W. Gloeckle, J. Golak, Ch. Elster. 2002-08-24. Lorentz Boosted NN Potential for Few-Body Systems: Application to the three-nucleon bound state. https://doi.org/10.1103/physrevc.66.044010

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