Analysis of Low-EnergyK+pScattering Data by a New Method

A new method, recently devised by us, is used for the analysis of $K^{+}p$ scattering data below 1.5 GeV/c. This analysis uses, instead of the ordinary partial-wave expansion, a method of expansion with optimally accelerated convergence properties; the method has been devised by the use of analytic approximation theory. Although no experimental information is used which was not available to Lea, Martin, and Oades, somewhat more definite results are obtained by the present method. The results are sensitive to the values assumed for the coupling constants ${g_{\mathrm{KN}\Lambda }}^2$ and ${g_{\mathrm{KN}\Sigma }}^2$; the results appear to be most consistent if values close to the $S{U}_3$ prediction are used for these coupling constants. With the use of the $S{U}_3$ prediction, rather strong $P$-wave scattering is found in the low-energy region.