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Photoproduction and electroproduction of $$Lambda(1405)$$ via $$gamma^{(*)} pto K^{*+}pi^0Sigma^0$$

Nam, S.-I.*; Hosaka, Atsushi

We study the photo- and electro-productions of the vector kaon off the proton, i.e., $$gamma^{(*)} pto K^{*+}pi^0Sigma^0$$, and investigate the line shape of the $$pi^0Sigma^0$$ invariant mass in an effective Lagrangian approach with the inclusion of a $$K^{*}NLambda^{*}$$ interaction. Relevant electromagnetic form factors for the neutral hyperons and charged strange mesons are constructed by considering experimental and theoretical information. We find that the $$Lambda^{*}$$ peak is clearly observed for the photo- and electro-productions with the finite $$K^{*}NLambda^{*}$$ interaction, whereas the clear peak signals survive only for the electro-production, when we ignore the interaction. These different behaviors can be understood by different $$Q^2$$ dependences in the $$K^{*}$$ electromagnetic and $$K^{*}togamma K$$ transition form factors. We suggest a photon-polarization asymmetry $$Sigma$$ to extract information of the $$K^{*}NLambda^{*}$$ interaction. It turns out that $$Sigma$$ near the $$Lambda^{*}$$ peak region becomes negative with a finite $$K^{*}NLambda^{*}$$ interaction while positive without it for $$Q^2=0$$, due to the different naturalities of $$K$$ and $$K^{*}$$ exchanges. For $$Q^2ne 0$$, we observe more obvious signals in the peak region due to the additional contribution of the longitudinal virtual photon for $$Lambda^{*}$$.

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