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Review of the \({\Lambda }\)(1405) A curious case of a strangeness resonance

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Abstract

During its long-lasting history, the \(\varLambda (1405)\) has become a benchmark for our understanding of the \(\mathrm SU(3)\) hadron dynamics. Starting with its theoretical prediction and later experimental verification, until the most recent debates on the existence of the second broad pole, it emerged as a fruitful research area sparking many theoretical and experimental developments. This review intends to provide the reader with the current status of research on the \(\varLambda (1405)\)-resonance, reflecting on historical, experimental and theoretical developments. A common database for experimental results and a comparison of most recent theoretical approaches will be provided in the last two parts of this manuscript.

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Notes

  1. Each Riemann sheet spans over the whole complex plane and is connected analytically to the next sheets along the cuts. In the simple case of \(2\rightarrow 2\) scattering of asymptotically stable particles, the cuts are located along the real axis, such that the number of Riemann sheets is \(2^N\), for N being the number of two-particle thresholds.

  2. https://github.com/maxim-mai/Experimental-Data/tree/master/Lambda1405

  3. Note that Ref. [85] was a pilot exploration of theoretical scenarios and laid foundations for later numerical studies. The numerical results for the poles of the \(\varLambda (1405)\) are not used in this review since they were superseded by those of Ref. [16] where photoproduction data, in addition to scattering data, were used in the fit

  4. This differentiation is not unique, due to substantial systematical and historical overlap between the potential, Chiral Unitary and dynamical coupled-channel models.

  5. Considering solely ground state mesons and baryons ten meson–baryon channels \(\{K^-p\), \({{\bar{K}}}^0 n\), \(\pi ^0\varLambda \), \(\pi ^0\Sigma ^0\), \(\pi ^+\Sigma ^-\), \(\pi ^-\Sigma ^+\), \(\eta \varLambda \), \(\eta \Sigma ^0\), \(K^+\Xi ^-\), \(K^0\Xi ^0\}\) carry the correct (\(S=-1\), \(Q=0\)) quantum numbers.

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Acknowledgements

This work is supported by the National Science Foundation under Grant No. PHY-2012289 and by the U.S. Department of Energy under Award Number DE-SC0016582. The author thanks Jose Antonio Oller for invitation to write this manuscript, to Ulf-G. Meißner, M. Döring, A. Cieplý, P. Bruns for comments and careful reading of the manuscript and to R. Brett for help with the document preparation. The author is grateful to E. Sismanidou for support and motivation.

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    Maxim Mai

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Mai, M. Review of the \({\Lambda }\)(1405) A curious case of a strangeness resonance. Eur. Phys. J. Spec. Top. 230, 1593–1607 (2021). https://doi.org/10.1140/epjs/s11734-021-00144-7

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