A multi-channel double bootstrap for RHO and K*

[摘要] NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document.We investigate the features of the bootstrap mechanism in a complex case involving many channels. The [...] meson is generated in the [...], and [...] channels, while the K* meson is simultaneously formed in the [...] and [...] channels. A single self-consistent solution to the seven coupled equations which result from the bootstrap conditions exists, and the calculation produces predictions for the [...] and [...] masses and for the five coupling constants [...],[...],[...],[...]. Typical results are [...],[...], while the prediction for the only experimentally known coupling constant [...] matches the experimental value. The other coupling constants approximate [...] symmetry with the exception of [...], and possibly [...]. The effects of the [...] meson, including [...] mixing, the [...] channel, and [...] exchange forces, are discussed and estimated. The basic calculational tool is the matrix [...] technique with the first determinental approximation--the influence of this approximation is evaluated through a comparison of the results using the approximation with those from solving the exact equations for a suitable test problem. The results apparently justify the use of the approximation. The good results obtained from the calculation demonstrate that the bootstrap idea continues to work even for rather complicated cases, and continues to give sensible answers.

[发布机构] University:California Institute of Technology;Department:Physics, Mathematics and Astronomy

[关键词] Physics