Signature of strange dibaryons in kaon- and photon-induced reactions

TL;DR

This paper investigates how strange dibaryon resonances manifest in scattering processes involving kaons and photons, using advanced mathematical methods to analyze three-body systems and explore the nature of the $ ext{Lambda}(1405)$ resonance.

Contribution

It introduces a method to identify strange dibaryon signatures in three-body scattering amplitudes and compares models to understand the $ ext{Lambda}(1405)$ resonance structure.

Findings

Signature of strange dibaryons can be identified in scattering observables.

Different models of $ar{K}N$-$ ext{pi} ext{Sigma}$ systems yield distinct resonance structures.

The production reactions can help distinguish the nature of $ ext{Lambda}(1405)$.

Abstract

We examine how the signature of the strange dibaryon resonances shows up in scattering amplitudes and observables of the three-body $\bar{K}NN$-$\pi Y N (Y=\Sigma, \Lambda)$ system on the physical real energy axis. The so-called point method is applied to handle logarithmic singularities that appear in solving the Alt-Grassberger-Sandhas equations for the real scattering energies. By taking two different kinds of models for the two-body $\bar{K}N$-$\pi \Sigma$ subsystem, both of which reproduce the available data equally well but give quite a different resonance-pole structure for $\Lambda(1405)$, we also investigate whether the strange-dibaryon production reactions can be used for disentangling the nature of $\Lambda(1405)$.