Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
35 (1994), S. 71-95
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
The generalized string-flip model for quantum scattering in a system of two N-body clusters is under consideration. The extra channel interpreted as the quark compound bag is considered which generates energy-dependent integral boundary conditions in the effective boundary problem. 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 proven 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-wave scattering phases, inelasticity parameters, and scattering lengths for N=2 (meson–meson scattering) and N=3 (baryon–baryon scattering) are presented. The resonance influence of the extra channel is investigated. Generalizations including spin–spin interaction and quark color group SU(n) are also presented.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.530743
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