K⁻d→πΛ N reaction with in-flight kaons for studying the Λ N interaction

The Λ N invariant mass spectra for the reactions K⁻d→π⁻Λ p and K⁻d→π⁰Λ n are calculated for experimental study of isospin symmetry breaking in the Λ N scattering at low energies, the difference in the scattering lengths and effective ranges of Λ p and Λ n systems. The calculations are performed for in-flight kaons with a momentum of 1000 MeV/c, employing partial wave analysis up to the p-wave for meson-baryon amplitudes and the spin-flip term for baryon-baryon amplitudes. Kinematic selection is utilized to suppress the background processes, involving the angular selection of pions to the forward direction and selecting nucleons with higher momentum. It is worth noting that isospin symmetry breaking in the Λ N system can be extracted from the observed deviations in that breaking in the Λ N invariant mass spectra for the K⁻d→πΛ N reaction.