Abstract
AbstractIt is shown, that fitting parameters of a $$\bar{K}N$$
K
¯
N
interaction model to different sets of experimental data can lead to physical conclusions which might provide a deeper insight into the physics of this multichannel system. The available experimental data are divided into three parts: the “classical” set consisting of the low-energy $$K^-p$$
K
-
p
cross sections and the threshold branching ratios, the SIDDHARTA 1s level shift in kaonic hydrogen and the CLAS photoproduction data. We have fitted the parameters of the potential to different combinations of these data. We found, that the two poles corresponding to the $$I=0$$
I
=
0
nuclear quasi-bound state $$(\Lambda (1405))$$
(
Λ
(
1405
)
)
and to the $$K^-p$$
K
-
p
1s atomic level seem to resist to their simultaneous reproduction at the right place, though a more or less satisfactory compromise can be achieved. Potentials with the $$\Lambda (1405)$$
Λ
(
1405
)
pole pinned down close to the PDG value fail to reproduce the classical two-body data with an acceptable accuracy. We also added comments on two papers criticizing the potential used in the fits.
Funder
ELKH Wigner Research Centre for Physics
Publisher
Springer Science and Business Media LLC
Subject
Atomic and Molecular Physics, and Optics
Reference25 articles.
1. M. Mai, Status of the $$\Lambda $$. Few Body Syst. 59, 61 (2018)
2. Y. Kamiya et al., Antikaon–nucleon interaction and $$\Lambda (1405)$$ in chiral SU(3) dynamics. Nucl. Phys. A 954, 41 (2016)
3. A. Cieply et al., On the pole content of coupled channels chiral approaches used for the $$\bar{K}N$$ system. Nucl. Phys. A 954, 17 (2016)
4. J. Révai, Are the chiral based $$\bar{K}N$$ potentials really energy-dependent? Few Body Syst. 59, 49 (2018)
5. J. Révai, Energy dependence of the $$\bar{ K}N$$ interaction and the two-pole structure of the $$\Lambda (1405)$$—are they real?, in Recent Progress in Few-Body Physics. Springer Proceedings in Physics, vol. 238, ed. by N.A. Orr, et al. (Springer Nature, Cham, 2020), p. 947
Cited by
2 articles.
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