On radiative corrections to the strangeness-conserving β-decay of free baryons

Electromagnetic interactions in the strangeness-conserving β-decay of baryons including n → ρ + e- + ν-bar + γ and hyperon Σ+ → Λ0 + e+ ν(ν-bar) + γ are investigated. For the polarized baryon decay studied the total decay probability modification, as well as the modifications of the e+- spectrum and the angular distribution with respect to the polarization vector ξ of the initial baryon (coefficient A) are calculated. Dependence of the results on the value of the ultraviolet cut-off parameter Λ is elucidated. The spectrum and yield of the γ radiation accompanying the β-decay is acquired with special attention being paid to studying the soft photons (infrared radiation)