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A Monte Carlo model for nuclear matter using a many body 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.

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