Abstract
Variational Euler-Lagrange equations for a three-particle system in the presence of central, velocity-dependent, two-body potentials are derived for the case of product radial wave functions of the form g 1( v 1) g 2( v 2) g 3( v 3) , where v 1 , v 2 and v 3 are the interparticle distances. The resulting equations are solved numerically in an interative procedure which yields a quite rapid convergence. Accurate values of the three-nucleon binding energy are obtained for a few examples of such potentials and it is found that a velocity-dependent potential which gives a fairly accurate fit to the two-body data also gives quite reasonable results for the bound states of 3H and 3He.
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