  A Monte Carlo model for nuclear matter using a many body $SU_c(3)$ string
flip potential, with fixed colour, is investigated. The potential is
approximated by considering colour singlet flux tube formations that connect
only three quarks at a time. The model is compared with a similar string flip
model, proposed by Horowitz and Piekarewicz \cite{kn:HorowitzI}, that
approximates higher order flux tube formations by connecting quarks in colour
singlet chains. The former model gives an EMC nucleon ``swelling'' effect,
whereas the latter gives an opposite effect. Possible discrepancies between the
two models are discussed.
