The flux tube and the flux tube breaking amplitude in the harmonic approximation

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Abstract
In the flux tube model the amplitude for meson hadronic decay A to B+C is given by an overlap integral containing a factor gamma bca which represents the amplitude that the initial flux tube a should break at a specific point, forming the two flux tubes b and c of the final two mesons. The authors estimate the factor gamma bca in a harmonic approximation for the decays of both ordinary quark model mesons (a=flux tube ground state) and the lowest vibrational hybrids (a=first excited state of flux tube). They also discuss the relationship of the flux tube model to the leading term in the evaluation of the Wilson loop expectation value.