  We calculate the T-matrices of pseudoscalar meson octet-baryon scattering to
one-loop order in SU(3) heavy baryon chiral perturbation theory. The pertinent
combinations of low-energy constants are determined by fitting to phase shifts
of $\pi N$ and $K N$ scattering and the corresponding data. By using these
low-energy constants, we obtain the strong phase shift difference of $\pi
\Lambda$ scattering at the $\Xi$ mass, $\delta_P-\delta_S=(8.8 \pm 0.2)$
degrees, in agreement with experimental results. We find that the phase shifts
in the $S_{01}$($\pi \Sigma$), $S_{01}$($K \Xi$), $S_{01}$($\overline{K} N$),
and $S_{11}$($\overline{K} \Sigma$) waves are so strong that resonances may be
generated dynamically in all these channels. We also predict the scattering
lengths and make comparisons with the results obtained from the threshold
T-matrices in heavy baryon chiral perturbation theory and the method of
covariant infrared regularization. The issue of convergence is also discussed
in detail.
