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Local Meson-Baryon Coupled-Channels Potential for the \(\varLambda (1405)\)

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Recent Progress in Few-Body Physics (FB22 2018)

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Abstract

A local coupled-channels \(\bar{K}N\)-\(\pi \varSigma \)-\(\pi \varLambda \) potential is constructed, equivalently reproducing the scattering amplitude in chiral SU(3) dynamics. By analyzing the wave function of the \(\varLambda (1405)\), we show the \(\bar{K}N\) dominance of the upper pole within the two-pole structure of the \(\varLambda (1405)\). The resulting potential will be useful for investigating \(\bar{K}\) few-nucleon systems including their coupled channels.

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Correspondence to Tetsuo Hyodo .

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Miyahara, K., Hyodo, T., Weise, W. (2020). Local Meson-Baryon Coupled-Channels Potential for the \(\varLambda (1405)\). In: Orr, N., Ploszajczak, M., Marqués, F., Carbonell, J. (eds) Recent Progress in Few-Body Physics. FB22 2018. Springer Proceedings in Physics, vol 238. Springer, Cham. https://doi.org/10.1007/978-3-030-32357-8_153

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