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Investigation of K bar N N resonances with a coupled-channel Complex Scaling Method + Feshbach projection

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Abstract

We have investigated a prototype of kaonic nuclei, “ K − p p”, with a coupled-channel Complex Scaling Method (ccCSM). Combining the ccCSM with Feshbach projection method, we can handle a coupled-channel problem effectively as a single-channel problem. By using an energy-dependent chiral SU(3)-based \(\bar {K}N\) potential, the K − p p (J π=0− and T=1/2) is obtained to be shallowly bound with the binding energy of 20-30 MeV. The mesonic decay width depends on the interaction parameters and ansatz; the decay width is ranging from 20 to 65 MeV. In case of J π=1− state, no three-body \(\bar {K}NN\) resonant states are found.

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Authors and Affiliations

  1. KEK Theory Center, Institute of Particle and Nuclear Studies (IPNS), High Energy Accelerator Research Organization (KEK), 1-1 Oho, Tsukuba, Ibaraki, 305-0801, Japan

    Akinobu Doté

  2. College of Bioresource Sciences, Nihon University, Fujisawa, 252-0880, Japan

    Takashi Inoue

  3. General Education, Faculty of Engineering, Osaka Institute of Technology, Osaka, 535-8585, Japan

    Takayuki Myo

Authors
  1. Akinobu Doté
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  2. Takashi Inoue
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  3. Takayuki Myo
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Corresponding author

Correspondence to Akinobu Doté.

Additional information

Proceedings of the International Conference on Exotic Atoms and Related Topics (EXA 2014), Vienna, Austria, 15-19 September 2014.

Details of the present study are described in our recent article [1].

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Doté, A., Inoue, T. & Myo, T. Investigation of K bar N N resonances with a coupled-channel Complex Scaling Method + Feshbach projection. Hyperfine Interact 234, 1–7 (2015). https://doi.org/10.1007/s10751-015-1152-x

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  • DOI: https://doi.org/10.1007/s10751-015-1152-x

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