The three-nucleon bound state using realistic potential models

Abstract

The bound states of ${}^3$H and ${}^3$He have been calculated using the Argonne $v_{18}$ plus the Urbana three-nucleon potential. The isospin $T=3/2$ state have been included in the calculations as well as the $n$-$p$ mass difference. The ${}^3$H-${}^3$He mass difference has been evaluated through the charge dependent terms explicitly included in the two-body potential. The calculations have been performed using two different methods: the solution of the Faddeev equations in momentum space and the expansion on the correlated hyperspherical harmonic basis. The results are in agreement within 0.1% and can be used as benchmark tests. Results for the CD-Bonn interaction are also presented. It is shown that the ${}^3$H and ${}^3$He binding energy difference can be predicted model independently.

5 pages REVTeX 4, 1 figures, 6 tables

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• The alpha-particle based on modern nuclear forces
• Lorentz Boosted NN Potential for Few-Body Systems: Application to the three-nucleon bound state
• Unitarity and the Bethe-Salpeter Equation

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