  We discuss two approaches to the calculation of matrix elements of the
Argonne v18 potential. The first approach is applicable in the case of a
single-particle basis of harmonic-oscillator wave functions. In this case we
use the Talmi transformation, implemented numerically using the Moshinsky
transformation brackets, to separate the center-of-mass and relative
coordinates degrees of freedom. Integrals involving the radial part of the
potential are performed using Gauss-Hermite quadrature formulas, and
convergence is achieved for sets of at least 512 points. We validate the
calculation of matrix elements of the Argonne v18 potential using a second
approach suitable for the case of an arbitrary functional form of the
single-particle wave functions. When the model space is represented in terms of
harmonic-oscillator wave functions, results obtained using these two approaches
are shown to to be identical within numerical accuracy.

Nuclear Theory