  We compare the momentum-space decimation procedure used to construct the low
momentum nucleon-nucleon interaction V(low-k) with the configuration-space
separation method of Moszkowski and Scott. Each procedure defines a separation
of scales in the nuclear many-body problem, and the extent to which these two
scales coincide is studied. By studying the effects of the separation method on
the relative S-state Kallio-Kolltveit potential, it is found that close
agreement with V(low-k) is obtained as the configuration-space cutoff is
lowered to ~ 1.0 fm.
