  We have investigated the existence of the J^p=1/2^+ narrow resonance
predicted by the chiral soliton model by utilizing the kaon photoproduction
process gamma + p --> K^+ + Lambda. For this purpose we have constructed two
phenomenological models based on our previous effective Lagrangian model, which
are able to describe kaon photoproduction from threshold up to W = 1730 MeV. By
varying the mass (width) of an inserted P_{11} resonance from 1620 to 1730 MeV
(0.1 to 1 MeV and 1 to 10 MeV) a number of fits has been performed in order to
search for the resonance mass. Our result indicates that the most promising
candidate mass (width) of this resonance is 1650 MeV (5 MeV). Although our
calculation does not exclude the possibility of narrow resonances with masses
of 1680, 1700 and 1720 MeV, the mass of 1650 MeV is obtained for all
phenomenological models used in this investigation. Variations of the resonance
width and $K\Lambda$ branching ratio are found to have a mild effect on the
chi^2. The possibility that the obtained result originates from other resonance
states is also discussed.
