Energy Dependence of the $$\bar{K}N$$ Interaction and the Two-Pole Structure of the $$\varLambda (1405)$$—Are They Real?

Révai, J.

doi:10.1007/978-3-030-32357-8_147

Cited by 1 publication

(4 citation statements)

References 4 publications

(7 reference statements)

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“…From our point of view this analysis is a polite rejection of any relevance of the second pole in the reproduction of data. Perfect fits for all kind of data are achieved assuming only one pole in the (1405) region (it turns out to be very close to the one predicted by [4,5]), while imposing a two-pole scenario does not improve the fits and yields a second pole far in the non-physical region.…”

Section: About the Acceptance Of The Potentialsupporting

confidence: 62%

“…The potential which we shall use to demonstrate the effects of data fitting [4,5], is an energy-independent implementation of the lowest order WT term of the chiral SU (3) meson-baryon interaction Lagrangian, designed for non-relativistic calculations in two-and few-body systems. Its actual form is a two-term multichannel separable potential:…”

Section: Input: Theoretical Model and Experimental Datamentioning

confidence: 99%

“…with c i j being the SU (3) Clebsh-Gordan coefficients, while F i (F j ) stand for the meson decay constants in channel i( j). The way, how to calculate two-body observables from this interaction is described in detail in [4,5]. The potential contains 7 adjustable parameters: the two meson decay constants FK and F π and the five range parameters β i in channels i = 1, 2, 3, 4, 5 .…”

Section: Input: Theoretical Model and Experimental Datamentioning

confidence: 99%

“…We think, however, that the fitting procedure might reveal some important issues providing a deeper insight into the physics of theK N system. In the present paper we try to demonstrate this idea on the example of a recently introduced K N interaction, belonging to the group b) [4,5]. The potential is energy-independent and leads to a one-pole structure of the (1405) resonance, in contrast to the two-pole one, obtained from the commonly used chiral basedK N potentials.…”

Section: Introductionmentioning

confidence: 99%

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Lessons from Fitting the Lowest Order Energy Independent Chiral Based $$\bar{K}N$$ Potential to Experimental Data

Révai

2020

Few-Body Syst

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It 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.

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Section: About the Acceptance Of The Potentialsupporting

confidence: 62%

Section: Input: Theoretical Model and Experimental Datamentioning

confidence: 99%

Section: Input: Theoretical Model and Experimental Datamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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