Possible Resonant State in Pion-Hyperon Scattering

Dalitz, R.H.; Tuan, S. F.

doi:10.1103/physrevlett.2.425

Cited by 312 publications

(265 citation statements)

References 11 publications

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“…One of the candidates is the Λ(1405) [1], which is too light to be described by the usual three-quark model [2]. Instead, the interpretation as theKN quasibound state [3,4] has been supported, and in particular the approaches respecting chiral SU(3) symmetry of QCD do work well [1,[5][6][7][8]. For the confirmation of the dominance of such aKN molecular component in the Λ(1405), the concept of the compositeness has been used in recent works [9,10].…”

Section: Introductionmentioning

confidence: 99%

Estimation of the Spatial Structure of \(\Lambda \)(1405) with Energy-Dependent Complex \(\bar{K}N\) Potential

Miyahara¹,

Hyodo²

2017

Proceedings of the 14th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon (MENU2016)

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We study the spatial size of the Λ(1405) to clarify the exotic nature of the unstable baryon as theKN molecular state. Considering the energy dependence and the complex nature of theKN potential, we first establish the way to treat the wave function for such an energy-dependent and complex potential, respecting the orthogonality condition and the conservation of the norm. With the resulting complex mean-squared distance of theKN system, we estimate the size of the Λ(1405) qualitatively. For the quantitative discussion, we propose a prescription to obtain the real-valued mean-squared distance from the asymptotic behavior of theKN wave function. As a result, we find that the Λ(1405) has a relatively large spatial extent compared with the size of the ordinary hadrons, which indicates thē KN molecular picture of the Λ(1405).

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Section: Introductionmentioning

confidence: 99%

Estimation of the Spatial Structure of \(\Lambda \)(1405) with Energy-Dependent Complex \(\bar{K}N\) Potential

Miyahara¹,

Hyodo²

2017

Proceedings of the 14th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon (MENU2016)

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“…The Λ(1405) resonance has a long history as a dynamically generated resonance from the interaction of meson baryon coupled channels [1,2] but its study has become more systematic with the advent of chiral unitary theories [3,4,5,6,7,8,9,10,11,12]. One of the interesting surprises was that in [8] it was found that the empirical Λ(1405) corresponded in fact to two poles (see fig.…”

Section: Introductionmentioning

confidence: 99%

The nature of the Λ(1405)

2008

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Abstract. We present here some results supporting the nature of the Λ(1405) resonance as dynamically generated from the meson baryon interaction in coupled channels and resulting from the superposition of two close-by poles. We find support for this picture in the K − p → π 0 π 0 Σ 0 reaction, which shows a different shape than the one obtained from the π − p → K 0 πΣ reaction. We also call the attention to the K − p → γπΣ with πΣ in the Λ(1405) region, which shows a narrow peak in the calculations around 1420 MeV. We also report on recent calculations of the radiative decay of the two Λ(1405) states and on reactions to obtain information on these decay modes. Finally, we present results for the pp → pK + Λ(1405) reaction recently measured at ANKE/COSY and compare them with theoretical results.

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“…By substituting schemes (8) in Eq. (7), we can find the electronic + de.cay amplitudes of different charges.…”

Section: <Jmentioning

confidence: 99%

Interference Phenomena in Nuclear Scattering of NeutralKMesons

Biswas

1960

Phys. Rev.

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The scattering of neutral K mesons has been treated phenomenologically. The scattered beam, in general, contains both K 0 andKo components having different amplitudes. These amplitudes interfere with each other in the generation of K 1 and K 2 components in the scattered beam.The relative sign of the two amplitudes may then be determined from the analysis of K 1 , K 2 decays. The leptonic decay rates of"the scattered beam show a d~p:endence on .6-M, the mass difference between K 1 , K 2 in such a way that the sign of .6-M can, in principle, be determined experimentally. ".

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Possible Resonant State in Pion-Hyperon Scattering

Cited by 312 publications

References 11 publications

Estimation of the Spatial Structure of \(\Lambda \)(1405) with Energy-Dependent Complex \(\bar{K}N\) Potential

Estimation of the Spatial Structure of \(\Lambda \)(1405) with Energy-Dependent Complex \(\bar{K}N\) Potential

The nature of the Λ(1405)

Interference Phenomena in Nuclear Scattering of NeutralKMesons

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