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Elastic $K^+ n\to K^+ n$ and charge exchange $K^+n\to K^0p$ reactions at lowmomenta are investigated using the partial wave analysis. Isospin relationgives constrains for the partial $s$- and $p$-waves among elastic $K^+p$,$K^+n$ and charge exchange $K^+n\to K^0p$ amplitudes. Two sets of the phaseshift for these partial waves in the isoscalar channel are obtained from thefit of experimental data on total and differential cross sections. Polarizationobservable leads to a good criterion to decide which set is valid. Differentialcross section data near $P_{\rm Lab}=434$ MeV/$c$ suggests a possibility of aresonance, e.g., the exotic $\Theta^+(1540)$ baryon around $\sqrt{s}\simeq$1.54GeV.

Partial wave analysis of $K^+N$ scattering and the possibility of pentaquark $\Theta^+(1540)$