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Journal Articles

$$Lambda(1405)$$ as a $$bar{K}N$$ Feshbach resonance in the Skyrme model

Ezoe, Takashi*; Hosaka, Atsushi

Physical Review D, 102(1), p.014046_1 - 014046_9, 2020/07

 Times Cited Count:4 Percentile:30.58(Astronomy & Astrophysics)

Oral presentation

Properties of the kaon-nucleon system and $$Lambda(1405)$$ in the Skyrme model

Ezoe, Takashi; Hosaka, Atsushi; Maruyama, Toshiki

no journal, , 

The kaon-nucleon systems and the $$Lambda(1405)$$ has been receiving a lot of attention in hadron physics. For example, the antikaon and nucleon interaction is considered strongly attractive. Due to the strong attraction, they form a bound state which was identified with the $$Lambda(1405)$$. It is one of the most famous resonance states whose detailed properties are yet under debate in hadron physics. In this study, we have investigated the kaon-nucleon systems and the $$Lambda(1405)$$ in the Skyrme model, where the baryon is described as a soliton with the finite structures. As a result, we have obtained the (anti)kaon-nucleon potential as a function depending on the radial distance and we discuss the decay of the $$Lambda(1405)$$ taking into account the baryon structures.

Oral presentation

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

Ezoe, Takashi; Hosaka, Atsushi; Maruyama, Toshiki

no journal, , 

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).

Oral presentation

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

Ezoe, Takashi; Hosaka, Atsushi; Maruyama, Toshiki

no journal, , 

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.

Oral presentation

Study of the $$Lambda (1405)$$ in the Skyrme model, 3

Ezoe, Takashi; Hosaka, Atsushi; Maruyama, Toshiki

no journal, , 

To determine properties of the $$Lambda (1405)$$ resonance is one of the important tasks in hadron physics. The $$Lambda (1405)$$ is well-known as a candidate of the exotic hadrons, whose properties can not be easily explained by a simple three-quark state. In our previous works, we have considered the $$bar{K}N$$ system in the Skyrme model, where baryons emerge as solitons with a finite size and baryon properties are reproduced well. We have constructed a new approach to describe kaon-nucleon systems in the Skyrme model. As a result, we have find one bound state with the binding energy of order 10 MeV, which means that the $$bar{K}N$$ bound state is realized as a hadronic molecule in our approach. In this talk, we investigate $$Lambda (1405)$$ as a $$bar{K}N$$ Feshbach resonance. The decay width of it seems to be very narrow. It means that we have succeeded in describing the $$Lambda (1405)$$ as a molecular resonance.

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