A static model bootstrap for an infinitely rising Regge trajectory

[摘要] Motivated hy the works of Carruthers and Nieto, Mandelstam,and Sivers, a self consistent bootstrap of the infinitely rising s Regge trajectory is studied. We first examine the self bootstrap of the sj particles in the elastic reactions. The crossing matrices are obtained using the static model approximation taking the advantage of the mass difference between pi and pi-j. The analysis of the crossing matrices reveals the result that more particles are required to be included in the bootstrap. This indicates that our original plan to bootstrap the entire s Regge trajectory by coupling the various inelastic pi pi j channels into the pi pi reaction through unitarity requires more sophisticated consideration than has been done. Basics on S-matrix theory and Regge poles essential to the understanding of this problem are also presented.

[发布机构] Rice University