Abstract

A many-quark system with confining interactions (strings) within colourless q q pairs is considered in the low density limit. From a diagrammatic representation of the four-quark ( q 2 q 2 ) propagator, an effective meson-meson interaction is derived. This repulsive hadronic interaction is a consequence of the Pauli blocking on the quark level and can be interpreted as a flip of pairing. The example of elastic scattering of s-wave mesons (ππ) is presented. Choosing the meson wave functions and the phenomenological q q interaction as gaussian functions, a separable meson-meson interaction potential is obtained.

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