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Structures of the $$Lambda (1405)$$ in the Skyrme model

Ezoe, Takashi; Hosaka, Atsushi; Maruyama, Toshiki

The $$Lambda (1405)$$ is well-known as a candidate of the exotic hadron whose properties can not be easily explained by a simple three-quark state. To determine the properties of the $$Lambda (1405)$$ is one of the most important tasks in hadron physics. Recently, the $$Lambda (1405)$$ is considered to be a resonance of the $$bar{K}N$$ and $$pi Sigma$$ channels, which is well-known as the double-pole structure. To investigate the $$Lambda (1405)$$, as a first step, we have considered the $$bar{K}N$$ channel by the Skyrme model, which is able to describe the hadron properties well and describes baryon as a soliton with structure of finite size. As a result, we have found one bound state with the binding energy of order 10 MeV, which means that the $$bar{K}N$$ bound state is a weakly binding object of the $$bar{K}$$ and $$N$$. We shall include the coupling of $$bar{K}N$$ and $$piSigma$$ channels as a next step.

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