Meson decay in a theory of bound quarks

Abstract

A perturbative method for performing calculations in a theory of permanently bound quarks is formulated. This method is then used in first order to verify the locality of the theory and to derive an expression for the meson decay amplitudes ($M\to M_1+M_2$). In a bound-quark model in two-dimensional space-time it is shown that the cascade decay mode ($M\gtrsim M_1\gg M_2$) is dynamically favored over the symmetric decay mode ($M\gg M_1\simeq M_2$).