Abstract
The nuclear three- and four-body systems are investigated with a variational method and various nucleon-nucleon potentials. The trial wave functions used are products of a central-field wave function and a correlation factor symmetric in the interparticle distances. The results show that i) the use of a fixed-centre reference frame or the centre-of-mass reference frame yield very nearly the same values for the binding energies and r.m.s. radii of3H and4He and ii) the trial functions, although containing few variational parameters, allowed for accurate evaluations. Moreover it is shown that the correlations between more than three particles give a disregardable contribution to the various calculated quantities.
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