Abstract
The ground-state nuclear wave functions, the binding energies, the root mean-square radii and the firstexcited-state energies of the 3H and 4He nuclei are investigated by applying the translation invariant shellmodel and using residual two-body interaction, given by the first author, together with a three-bodyinteraction in the form of a delta force. Furthermore, the binding energyies and the root mean-squareradii of these nuclei have been calculated by applying the variational Monte Carlo method and using theReid V8 two-body potential together with the Urbana model of the three-nucleon interaction.

Keywords
Light nuclei, translation invariant shell model, binding energy, root meansquareradius, nucleon-nucleon interaction, three-body interaction, Monte Carlovariational method.

Cite this paper
S. B. Doma, H. S. El-Gendy, Application of the Translation Invariant Shell Model and the Variational Monte Carlo Method to the Ground andFirst Excited-States of the 3H and 4He Nuclei , SCIREA Journal of Physics. Volume 1, Issue 1, October 2016 | PP. 52-77.

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