Abstract
A systematic study of the Balázs method, as applied to the Rho-bootstrap problem in the two-Pion system, is made in order to determine its validity. Inelastic effects as estimated from Regge theory are included. We find that the method becomes well-behaved as the number of poles used to approximate the left-hand cut is increased, in contrast to results obtained previosly by Bond, and that the sensitivity of the solutions to the choice of matching point may be largely eliminated by a procedure proposed by Williamson and Everett. The method predicts a Rho mass of somewhere between 680 and 760 MeV as compared to the experimental value of 750±25 MeV, and a Rho half-width of about 150 MeV as compared with the experimental value of about 50 MeV.