Theoretical study of the $\Sigma N$ cusp in the $K^-d\rightarrow\pi\Lambda N$ reaction

Shunsuke Yasunaga; Daisuke Jido

Theoretical study of the $\Sigma N$ cusp in the $K^-d\rightarrow\pi\Lambda N$ reaction

Nuclear Theory 2025-01-27 v1 High Energy Physics - Phenomenology

Authors: Shunsuke Yasunaga , Daisuke Jido

Abstract

The $K^-d\rightarrow\pi\Lambda N$ reaction is useful for exploring the hyperon-nucleon interaction through final state interactions. In particular, the cusp structure of the $\Lambda N$ invariant mass spectrum at the $\Sigma N$ threshold contains information about the s-wave interaction of 1/2-isospin hyperon-nucleon systems. The calculation of the spectrum is performed with the aim of extracting the scattering length of the $\Sigma N(I=1/2)$ channel that couples to the $\Lambda N$ channel from this reaction, and the results are discussed in comparison with experimental data to highlight the factors that should be considered.

Keywords

$K^-d$ reaction $\Sigma N$ cusp $\Lambda N$ invariant mass final state interaction scattering length hyperon-nucleon interaction

Cite

@article{arxiv.2501.14227,
  title  = {Theoretical study of the $\Sigma N$ cusp in the $K^-d\rightarrow\pi\Lambda N$ reaction},
  author = {Shunsuke Yasunaga and Daisuke Jido},
  journal= {arXiv preprint arXiv:2501.14227},
  year   = {2025}
}

Comments

6 pages, 3 figures, 1 table. Contribution to the proceedings of the 10th International Conference on Quarks and Nuclear Physics (QNP2024)

Theoretical study of the $\Sigma N$ cusp in the $K^-d\rightarrow\pi\Lambda N$ reaction

Abstract

Keywords

Cite

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