This dissertation describes a search for the pair production of scalar top quarks, (tilde t)(sub 1), using a luminosity of 995 pb(sup -1) of data collected in p(bar p) collisions with the D0 detector at the Fermilab Tevatron Collider at a center-of-mass energy (radical)s = 1.96 TeV. Both scalar top quarks are assumed to decay into a charm quark and a neutralino, (tilde (chi))(sub 1)(sup 0), where (tilde (chi))(sub 1)(sup 0) is the lightest supersymmetric particle. This leads to a final state with two acoplanar charm jets and missing transverse energy. The yield of such events in data is found to be consistent with the expectations from known standard model processes. Sets of (tilde t)(sub 1) and (tilde (chi))(sub 1)(sup 0) masses are excluded at the 95% confidence level that substantially extend the domain excluded by previous searches. With the theoretical uncertainty on the (tilde t)(sub 1) pair production cross section taken into account, the largest limit for m(sub (tilde t)(sub 1)) is m(sub (tilde t)(sub 1)) > 150 GeV, for m(sub (tilde (chi))(sub 1)(sup 0)) = 65 GeV.