Abstract.
Using separable potentials for the \( \bar{K}N\) - \( \pi\Sigma\) interaction, we investigated four-body kaonic nuclear systems, such as \( K^{-}ppn\) and \( K^{-}K^{-}pp\) , with the Faddeev AGS method in the momentum representation. The Faddeev calculations are based on the quasi-particle method and the method of energy-dependent pole expansion was used to obtain the separable representation for the integral kernels in the three- and four-body equations. Different types of \( \bar{K}N\) - \( \pi\Sigma\) potentials based on phenomenological and chiral SU(3) approach are used and it was shown that the kaonic nuclear systems under consideration are tightly bound.
Similar content being viewed by others
References
R.H. Dalitz, S.F. Tuan, Phys. Rev. Lett. 2, 425 (1959)
R.H. Dalitz, S.F. Tuan, Ann. Phys. 10, 307 (1960)
Y. Akaishi, T. Yamazaki, Phys. Rev. C 65, 044005 (2002)
J. Esmaili, Y. Akaishi, T. Yamazaki, Phys. Lett. B 686, 23 (2010)
J. Esmaili, Y. Akaishi, T. Yamazaki, Phys. Rev. C 83, 055207 (2011)
T. Yamazaki, Y. Akaishi, Phys. Lett. B 535, 70 (2002)
A. Dote, H. Horiuchi, Y. Akaishi, T. Yamazaki, Phys. Lett. B 590, 51 (2004)
A. Dote, H. Horiuchi, Y. Akaishi, T. Yamazaki, Phys. Rev. C 70, 044313 (2004)
N.V. Shevchenko, A. Gal, J. Mares, Phys. Rev. Lett. 98, 082301 (2007)
N.V. Shevchenko, A. Gal, J. Mares, J. Revai, Phys. Rev. C 76, 044004 (2007)
Y. Ikeda, T. Sato, Phys. Rev. C 76, 035203 (2007)
Y. Ikeda, T. Sato, Phys. Rev. C 79, 035201 (2009)
A. Dote, T. Hyodo, W. Weise, Nucl. Phys. A 804, 197 (2008)
A. Dote, T. Hyodo, W. Weise, Phys. Rev. C 79, 014003 (2009)
Y. Ikeda, H. Kamano, T. Sato, Prog. Theor. Phys. 124, 533 (2010)
S. Marri, S.Z. Kalantari, Eur. Phys. J. A 52, 282 (2016) arXiv:1611.09025 [nucl-th]
S. Marri, S.Z. Kalantari, J. Esmaili, Eur. Phys. J. A 52, 361 (2016) arXiv:1612.00685 [nucl-th]
S. Marri, S.Z. Kalantari, J. Esmaili, arXiv:1902.00903 [nucl-th]
S. Maeda, Y. Akaishi, T. Yamazaki, Proc. Jpn. Acad., Ser. B 89, 418 (2013)
N. Barnea, A. Gal, E.Z. Liverts, Phys. Lett. B 712, 132 (2012)
M. Agnello et al., Phys. Rev. Lett. 94, 212303 (2005)
G. Bendiscioli et al., Nucl. Phys. A 789, 222 (2007)
T. Yamazaki et al., Phys. Rev. Lett. 104, 132502 (2010)
S. Ajimura et al., Nucl. Phys. A 914, 315 (2013)
Y. Ichikawa et al., Few Body Syst. 54, 1191 (2013)
L. Fabbietti et al., Nucl. Phys. A 914, 60 (2013)
A.O. Tokiyasu et al., Phys. Lett. B 728, 616 (2014)
I.M. Narodetsky, Nucl. Phys. A 221, 191 (1974)
S.A. Sofianos, N.J. McGurk, H. Fiedeldey, Nucl. Phys. A 318, 295 (1979)
A. Dote, T. Inoue, T. Myo, Phys. Rev. C 95, 062201 (2017)
Y. Ikeda, H. Kamano, T. Sato, Prog. Theor. Phys. 124, 533 (2010)
N.V. Shevchenko, Nucl. Phys. A 890-891, 50 (2012)
P. Grassberger, W. Sandhas, Nucl. Phys. B 2, 181 (1967)
A.C. Fonseca, L. Streit, Lect. Notes Phys. 273, 161 (1986)
A. Fix, H. Arenhovel, Phys. Rev. C 68, 044002 (2003)
S. Nakaichi, T.K. Lim, Y. Akaishi, H. Tanaka, Phys. Rev. A 26, 1 (1982)
N.V. Shevchenko, Phys. Rev. C 85, 034001 (2012)
SIDDHARTA Collaboration (M. Bazzi et al.), Phys. Lett. B 704, 113 (2011)
H. Zankel, W. Plessas, J. Haidenbauer, Phys. Rev. C 28, 538 (1983)
NPLQCD Collaboration (S.R. Beane et al.), Phys. Rev. D 77, 094507 (2008)
T. Hyodo, W. Weise, Phys. Rev. C 77, 035204 (2008)
S. Maeda, Y. Akaishi, T. Yamazaki, arXiv:1610.02150v1 [nucl-ex]
Roman Ya. Kezerashvili, Shalva M. Tsiklauri, Nurgali Zh. Takibayev, arXiv:1510.00478v3 [nucl-th]
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by V. Somà
Data Availability Statement
This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All data generated during this study are contained in this published article.]
Publisher’s Note
The EPJ Publishers remain neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Marri, S., Esmaili, J. Three- and four-body kaonic nuclear states: Binding energies and widths. Eur. Phys. J. A 55, 43 (2019). https://doi.org/10.1140/epja/i2019-12717-3
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/i2019-12717-3