Abstract

Abstract The process that a flux tube breaks into two flux tubes or into three flux tubes is studied by calculating the classical action and the fluctuation action. For the process, the minimal action determined by the classical and the fluctuation action implies that a simultaneous breaking into three flux tubes is suppressed. This provides a possible explanation of the quasi-two-body dominance in the N N annihilation. A comparison of our result for the flux tube breaking strength and that estimated phenomenologically indicates that an incorporation of dynamics of quarks in the model is indispensable.

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