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
Rangos 1

Rangos 1

Invited Few Body Systems Meson-Nucleon Interactions


Akinobu Dote (KEK theory center)


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
Graduate Student No

Primary author

Akinobu Dote (KEK theory center)


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

Presentation materials