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

Ezoe, Takashi; Hosaka, Atsushi; Maruyama, Toshiki

The kaon-nucleon systems and the $$Lambda(1405)$$ have drawn attention in hadron physics. For example, the antikaon-nucleon ($$bar{K}N$$) interaction is considered to be strongly attractive. It was considered that, due to the strong attraction, they formed a bound state which was identified with the $$Lambda(1405)$$. It is well-known as a candidate of the exotic hadron, whose properties cannot be explained by a simple quark model. Now, the $$Lambda(1405)$$ is considered to be a resonance state of the $$bar{K}N$$ and $$pi Sigma$$ channels. There are many theoretical works for the $$Lambda(1405)$$, which are based on a phenomenological approach or chiral theories. In this study, we investigate the $$Lambda(1405)$$ by the Skyrme model which is based on the chiral theory and able to describe the hadron properties well. Furthermore, we can discuss three-dimensional structure of baryons since the model describes the baryon as a soliton with finite size. We have found a loosely bound $$bar{K}N$$ state with the binding energy of order 10 MeV. Actually, we discuss the size of the bound state and found its size to be 1.2 fm, which is larger than the nucleon size in the Skyrme model (0.6 fm).

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