GENERALIZED STRING-FLIP MODEL FOR QUANTUM CLUSTER SCATTERING

The generalized string-flip model for quantum scattering in a system o f two N-body clusters is under consideration. The extra channel interp reted as the quark compound bag is considered which generates energy-d ependent integral boundary conditions in the effective boundary proble m. It is shown that the standard string-flip model can be generalized for N identical particles in a cluster. The effective Hamiltonian and effective integral equations for the partial s-wave S matrix are prove n to be form invariant with respect to N. The effective configuration space is shown to be two-dimensional for every N and its geometry for, different N is discussed. Results of the numerical calculations of s-w ave scattering phases, inelasticity parameters, and scattering lengths for N=2 (meson-meson scattering) and N=3 (baryon-baryon scattering) a re presented. The resonance influence of the extra channel is investig ated. Generalizations including spin-spin interaction and quark color group SU(n) are also presented.