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Trace of \(\varLambda (1405)\) resonance in low energy \(K^{-}+\, ^{3}\mathrm {He}\rightarrow (\pi ^{0}\varSigma ^{0})+d\) reaction

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Abstract

In present work, we investigated \(K^{-}+\, ^{3}\mathrm {He}\) reaction at low energies. The coupled-channel Faddeev AGS equations were solved for \({\bar{K}}Nd-\pi \varSigma {d}\) three-body system in momentum representation to extract the scattering amplitudes. To trace the signature of the \(\varLambda \)(1405) resonance in the \(\pi \varSigma \) invariant mass, the deuteron energy spectrum for \(K^{-}+\,^{3}\mathrm {He}\rightarrow \pi \varSigma {d}\) reaction was obtained. Different types of \({\bar{K}}N-\pi \varSigma \) potentials based on phenomenological and chiral SU(3) approaches were used. As a remarkable result of this investigation, it was found that the deuteron energy spectrum, reflecting the \(\varLambda \)(1405) mass distribution and width, depends quite sensitively on the \({\bar{K}}N-\pi \varSigma \) model of interaction. Hence accurate measurements of the \(\pi \varSigma \) mass distribution have the potential to discriminate between possible mechanisms at work in the formation of the \(\varLambda \)(1405).

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The results from our calculations are given in the text, and displayed in the table and figures.]

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Authors and Affiliations

  1. Department of Physics, Faculty of Basic Sciences, Shahrekord University, 115, Shahrekord, Iran

    J. Esmaili & M. Raeisi

  2. Department of Physics, Isfahan University of Technology, Isfahan, 84156-83111, Iran

    S. Marri

  3. Department of Physics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran

    A. Naderi Beni

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  1. J. Esmaili
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  2. S. Marri
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  3. M. Raeisi
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  4. A. Naderi Beni
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Correspondence to J. Esmaili.

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Communicated by Eulogio Oset

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Esmaili, J., Marri, S., Raeisi, M. et al. Trace of \(\varLambda (1405)\) resonance in low energy \(K^{-}+\, ^{3}\mathrm {He}\rightarrow (\pi ^{0}\varSigma ^{0})+d\) reaction. Eur. Phys. J. A 57, 120 (2021). https://doi.org/10.1140/epja/s10050-021-00379-x

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  • DOI: https://doi.org/10.1140/epja/s10050-021-00379-x

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