Abstract
It was found that NN potential could influence the results of the quasi-bound state search in the \(K^- d\) system, where the corresponding pole is situated close to the threshold. Three-body Faddeev-type calculations of the \(\bar{K}NN - \pi \varSigma N\) system performed with a new model of nucleon-nucleon interaction predict the existence of the quasi-bound \(K^- d\) state caused by strong interactions. Its binding energy is small (1–2 MeV), while the width is comparable with the width of the \(K^- pp\) quasi-bound state (40–60 MeV).
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Notes
The exact optical potential is the one-channel potential, which provides exactly the same elastic amplitude as the coupled-channel model of interaction (see e.g. [19]).
References
N.V. Shevchenko, Three-body Antikaon–Nucleon systems. Few Body Syst. 58, 6 (2017)
E.O. Alt, P. Grassberger, W. Sandhas, Reduction of the three-particle collision problem to multi-channel two-particle Lippmann–Schwinger equations. Nucl. Phys. B 2, 167 (1967)
J. Révai, Three-body calculation of the \(1s\) level shift in kaonic deuterium with realistic \(\bar{K}N\) potentials. Phys. Rev. C 94, 054001 (2016)
N.V. Shevchenko, J. Révai, Faddeev calculations of the \(\bar{K}NN\) system with chirally-motivated \(\bar{K}N\) interaction. I. Low-energy \(K^- d\) scattering and antikaonic deuterium. Phys. Rev. C 90, 034003 (2014)
N.V. Shevchenko, J. Haidenbauer, Exact calculations of a quasibound state in the \(\bar{K}\bar{K}N\) system. Phys. Rev. C 92, 044001 (2015)
P. Grassberger, W. Sandhas, Systematical treatment of the non-relativistic n-particle scattering problem. Nucl. Phys. B 2, 181 (1967)
J. Révai, N.V. Shevchenko, Faddeev calculations of the \(\bar{K}NN\) system with chirally-motivated \(\bar{K}N\) interaction. II. The \(K^-pp\) quasi-bound state. Phys. Rev. C 90, 034004 (2014)
K.A. Olive et al. (Particle Data Group), The review of particle physics. Chin. Phys. C 38, 090001 (2014) and 2015 update
N.V. Shevchenko, Near-threshold \(K^- d\) scattering and properties of kaonic deuterium. Nucl. Phys. A 890–891, 50–61 (2012)
M. Bazzi, SIDDHARTA Collaboration et al. A new measurement of kaonic hydrogen X-rays. Phys. Lett. B 704, 113 (2011)
M. Sakitt et al., Low-energy \(K^-\)-meson interactions in hydrogen. Phys. Rev. 139, B719 (1965)
J.K. Kim, Low-energy \(K^-\)-p interaction and interpretation of the \(1405\)-MeV \(Y^*_0\) resonance as a \(\bar{K}N\) bound state. Phys. Rev. Lett. 14, 29 (1965)
J.K. Kim, Multichannel phase-shift analysis of \(\bar{K}N\) interaction in the region 0 to 550 MeV/c. Phys. Rev. Lett. 19, 1074 (1967)
W. Kittel, G. Otter, I. Wacek, The \(K^- \) proton charge exchange interactions at low energies and scattering lengths determination. Phys. Lett. 21, 349 (1966)
J. Ciborowski et al., Kaon scattering and charged Sigma hyperon production in \(K^- p\) interactions below 300 MeV/c. J. Phys. G 8, 13 (1982)
D. Evans et al., Charge-exchange scattering in \(K^- p\) interactions below 300 MeV/c. J. Phys. G 9, 885 (1983)
D.N. Tovee et al., Some properties of the charged \(\Sigma \) hyperons. Nucl. Phys. B 33, 493 (1971)
R.J. Nowak et al., Charged \(\Sigma \) hyperon production by \(K^-\) meson interactions at rest. Nucl. Phys. B 139, 61 (1978)
N.V. Shevchenko, One- versus two-pole \(\bar{K}N - \pi \Sigma \) potential: \(K^- d\) scattering length. Phys. Rev. C 85, 034001 (2012)
G. Alexander et al., Study of the \(\Lambda -N\) system in low-energy \(\Lambda -p\) elastic scattering. Phys. Rev. 173, 1452 (1968)
B. Sechi-Zorn, B. Kehoe, J. Twitty, R.A. Burnstein, Low-energy \(\Lambda \)-proton elastic scattering. Phys. Rev. 175, 1735 (1968)
F. Eisele et al., Elastic \(\Sigma ^{\pm } p\) scattering at low energies. Phys. Lett. B 37, 204 (1971)
R. Engelmann, H. Filthuth, V. Hepp, E. Kluge, Inelastic \(\Sigma ^-p\)-interactions at low momenta. Phys. Lett. 21, 587 (1966)
V. Hepp, M. Schleich, A new determination of the capture ratio \(r_c = \frac{\Sigma ^- p \rightarrow \Sigma ^0 n}{(\Sigma ^- p \rightarrow \Sigma ^0 n) + (\Sigma ^- p \rightarrow \Lambda ^0 n)}\), the \(\Lambda ^0\)-lifetime and the \(\Sigma ^- - \Lambda ^0\) mass difference. Z. Phys. 214, 71 (1968)
R.B. Wiringa, V.G.J. Stoks, R. Schiavilla, Accurate nucleon-nucleon potential with charge-independence breaking. Phys. Rev. C 51, 38 (1995)
P. Doleschall, Private communication
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
The work was supported by the Czech GACR Grant 19-19640S.
Rights and permissions
About this article
Cite this article
Shevchenko, N.V. On a Quasi-Bound State in the \(\pmb {{ K^- d}}\) System Caused by Strong Interactions. Few-Body Syst 61, 27 (2020). https://doi.org/10.1007/s00601-020-01560-6
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00601-020-01560-6