Fully coupled-channel study of K−pp resonance in a chiral SU(3)-based [formula omitted] potential

Akinobu Doté,Takashi Inoue,Takayuki Myo

doi:10.1016/j.physletb.2018.08.029

Akinobu Doté, Takashi Inoue + Show 1 more

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https://doi.org/10.1016/j.physletb.2018.08.029

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Abstract

We have investigated the most essential kaonic nucleus “K−pp” as a resonant state of the K¯NN-πΣN- πΛN coupled-channel system using a chiral SU(3)-based K¯N potential. We treat the “K−pp” resonance adequately with a fully coupled-channel complex scaling method (full ccCSM). Self-consistency needs to be considered for the energy dependence of the chiral SU(3)-based potential. In the present study, we propose a simple prescription for the treatment of self-consistency, considering the averaged threshold and averaged binding energy of mesons. With this prescription, we have successfully found the self-consistent solutions of the “K−pp” three-body resonance. The results indicate that the “K−pp” system is bound rather shallowly. In particular, when the potential parameters are constrained with the latest K¯N scattering length, the binding energy and half of the mesonic decay width are obtained as 14–50 MeV and 8–19 MeV, respectively.

Highlights

Finite nuclear systems with antikaons, called kaonic nuclei, have attracted interest from many researchers in the fields of strange nuclear physics and hadron physics
We have investigated the most essential kaonic nucleus “K−pp” as a resonant state of the K N N πΣN -πΛN coupled channel system using a chiral SU(3)-based K N potential
Kaonic nuclei are expected to offer hints to understand the partial restoration of chiral symmetry, which has been pursued for a long time in hadron physics [4, 5]

Summary

Introduction

Finite nuclear systems with antikaons, called kaonic nuclei, have attracted interest from many researchers in the fields of strange nuclear physics and hadron physics. Previous studies based on a phenomenological K N potential, which induces a strong K N attraction, have shown a possibility that kaonic nuclei could have several exotic properties that have never been observed in ordinary nuclei [2, 3]. The formation of a dense state is an important property. Kaonic nuclei might be a doorway to access the dense matter, more careful investigation should be needed. Kaonic nuclei are expected to offer hints to understand the partial restoration of chiral symmetry, which has been pursued for a long time in hadron physics [4, 5]

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