The feasibility of single-Λ production via ⁻ + p → Λ + ν at e⁺e⁻ colliders

We present a comprehensive investigation of single- Λ Λ hyperon production via the lepton-nucleon deep inelastic scattering (LNDIS) process, ⁻ ℓ - + p → → ν ν ℓ + Λ Λ , in the experimental environment of electron–positron colliders. Our approach utilizes incident leptons originating from the decays of resonances ( J/ψ J / ψ , ψ (2S) ψ ( 2 S ) , Υ (1S) Υ ( 1 S ) , Υ (2S) Υ ( 2 S ) , and Z⁰ Z 0 ) produced in e⁺e⁻ e + e - collisions, which then scatter off stationary protons in the surrounding detector materials. The differential and total cross sections are calculated using baryonic transition form factors parameterized with the z -expansion scheme within both the quantum chromodynamics (QCD) sum rule and lattice QCD frameworks. Our results indicate that the cross section increases with center-of-mass energy and is highly sensitive to the choice of form factors, resulting in significant theoretical uncertainties. This study highlights the experimental challenges in observing the LNDIS process at e⁺e⁻ e + e - colliders and underscores the need for improved determination of baryonic form factors. It serves as a valuable reference for future experimental searches and suggests that an anomalous observation of single- Λ Λ hyperon production at e⁺e⁻ e + e - colliders could indicate new physics.