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Fully coupled-channels complex scaling method for the Kpp system

Akinobu Doté, Takashi Inoue, and Takayuki Myo
Phys. Rev. C 95, 062201(R) – Published 15 June 2017

Abstract

We have developed a fully coupled-channels complex scaling method (ccCSM) for the study of the simplest (and thus most important) kaonic nucleus, ``Kpp”, which is a resonant state of a K¯NNπΣNπΛN coupled-channel system based on theoretical viewpoint. By employing the ccCSM and imposing the correct boundary condition for a resonance, the coupled-channel problem is solved using a phenomenological energy-independent potential. As a result of the ccCSM calculation of ``Kpp”, in which all three channels are treated explicitly, we have obtained a three-body resonance as a Gamow state. The resonance pole indicates that the binding energy of ``Kpp” and the half value of its mesonic decay width are 51 and 16 MeV, respectively. In the analysis of the ccCSM resonant wave function, we clarify the spatial configuration and channel composition of ``Kpp”. Compared with past single-channel calculations based on effective K¯N potentials, the current study provides a guideline for the determination of the K¯N energy to be used in such effective potentials.

  • Figure
  • Received 8 March 2017

DOI:https://doi.org/10.1103/PhysRevC.95.062201

©2017 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Akinobu Doté1,2,*, Takashi Inoue3, and Takayuki Myo4

  • 1KEK Theory Center, Institute of Particle and Nuclear Studies (IPNS), High Energy Accelerator Research Organization (KEK), 1-1 Oho, Tsukuba, Ibaraki, 305-0801, Japan
  • 2J-PARC Branch, KEK Theory Center, IPNS, KEK, 203-1, Shirakata, Tokai, Ibaraki, 319-1106, Japan
  • 3Nihon University, College of Bioresource Sciences, Fujisawa 252-0880, Japan
  • 4General Education, Faculty of Engineering, Osaka Institute of Technology, Osaka 535-8585, Japan

  • *dote@post.kek.jp

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Issue

Vol. 95, Iss. 6 — June 2017

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