# MENU-2019

Jun 2 – 7, 2019
Carnegie Mellon University
America/New_York timezone

## The “$K^-pp$” system investigated with a fully coupled-channel Complex Scaling Method

Jun 7, 2019, 9:45 AM
30m
Rangos 1

### Rangos 1

Invited Few Body Systems

### Speaker

Akinobu Dote (KEK theory center)

### Description

The $K^-pp$ is the most essential system of kaonic nuclei, which are expected to be a doorway to dense matter due to the strong $\bar{K}N$ attraction [1]. To clarify the nature of $K^-pp$, theorists have investigated this three-body system with various approaches for a long time [2]. Those theoretical studies have indicated that the $K^-pp$ should be a resonant state of a meson-baryon-baryon coupled-channel system. Thus, we have developed a coupled-channel complex scaling method (ccCSM), because it can deal with both resonance and coupled-channel aspects of the $K^-pp$ correctly and it can provide us with the wave function to reveal the nature of $K^-pp$ in detail. A few years ago, we accomplished fully coupled-channel CSM calculations (Full ccCSM), in which all meson-baryon-baryon channels coupling to the $K^-pp$ state, $\bar{K}NN$, $\pi\Sigma N$, and $\pi\Lambda N$, are explicitly treated.
Based on our studies with Full ccCSM using a phenomenological $\bar{K}N$ potential [3] and a chiral-theory based one [4], we will report the nature of the $K^-pp$ resonance and discuss on the comparison with experimental results, in particular, the latest result of J-PARC E15 experiment [5]. Furthermore, we will show some results of a semi-relativistic version of our calculation, which is undergoing. Such a treatment should be better for pions which appear in the decay of $K^-pp$, and it is expected to give influence to the decay width in our calculation.
[1] Y. Akaishi and T. Yamazaki, Phys. Rev. C 65, 044005 (2002).
[2] A. Gal, E. V. Hungerford and D. J. Millener, Rev. Mod. Phys. 88, 035004 (2016).
[3] A. Dote, T. Inoue and T. Myo, Phys. Rev. C 95, 062201(R) (2017).
[4] A. Dote, T. Inoue and T. Myo, Phys. Lett. B784, 405 (2018).
[5] S. Ajimura et al. (J-PARC E15 collaboration), Phys. Lett. B789, 620 (2019).

Early Consideration No No

### Primary author

Akinobu Dote (KEK theory center)

### Co-authors

Prof. Takashi Inoue (Nihon University, College of Bioresource Sciences) Prof. Takayuki Myo (Osaka Institute of Technology)

### Presentation materials

 MENU2019 2019-06-07 _Dote.pdf MENU2019 2019-06-07_Dote.pptx