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.
Similar content being viewed by others
References
Doté, A., Inoue, T., Myo, T.: arXiv:1411.0348, to appear in Progress of Theoretical Experimental Physics
Akaishi, Y., Yamazaki, T.: Phys. Rev. C 65, 044005 (2002)
Yamazaki, T., Akaishi, Y.: Phys. Lett. B 535, 70 (2002)
Doté, A., Horiuchi, H., Akaishi, Y., Yamazaki, T.: Phys. Lett. B 590, 51 (2004)
Doté, A., Horiuchi, H., Akaishi, Y., Yamazaki, T.: Phys. Rev. C 70, 044313 (2004)
Hashimoto, T., et al.: J-PARC E15 Collaboration, arXiv:1408.5637 [nucl-ex]
Ichikawa, Y., et al.: J-PARC E27 Collaboration, Progress of Theoretical Experimental Physics. 101D03 (2014)
Talk by Y. Ichikawa on behalf of J-PARC E27 Collaboration at this conference
Gal, A.: Prog. Theor. Phys. Suppl. 186, 270 (2010)
Hyodo, T., Jido, D.: Prog. Part. Nucl. Phys. 67, 55 (2012)
Aoyama, S., Myo, T., Kato, K., Ikeda, K.: Prog. Theor. Phys. 116, 1 (2006)
Doté, A., Inoue, T., Myo, T.: Nucl. Phys. A 912, 66 (2013)
Doté, A., Myo, T.: Nucl. Phys. A 930, 86 (2014)
Suzuki, Y., Varga, K.: Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems (Lecture Notes in Physics Monographs). Springer (1998)
Feshbach, H.: Ann. Phys. 5, 357 (1958)
Feshbach, H.: Ann. Phys. 19, 287 (1962)
Myo, T., Ohnishi, A., Kato, K.: Prog. Theor. Phys. 99, 801 (1998)
Doté, A., Hyodo, T., Weise, W.: Phys. Rev. C 79, 014003 (2009)
Private communication with Prof. T. Harada
Barnea, N., Gal, A., Liverts, E.Z.: Phys. Lett. B 712, 132 (2012)
Agnello, M., et al.: FINUDA collaboration. Phys. Rev. Lett 94, 212303 (2005)
Yamazaki, T., et al.: DISTO collaboration. Phys. Rev. Lett. 104, 132502 (2010)
Author information
Authors and Affiliations
Corresponding author
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].
Rights and permissions
About this article
Cite this article
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
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10751-015-1152-x