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

In the work presented, the effect of electromagnetic interactions on the strangeness-conserving β-decay of baryons: neutron, n → p + e^ - + ν + γ , and hyperon, Σ ^ ± → Λ ⁰ + e^ ± + ν ( ν ) + γ , is visualized. 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), have been 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 the infrared (soft-photon) radiation. The photon radiation of pions constituting the baryon's “pion cloud” is investigated. The radiative corrections to the total β-decay probability and to the electron energy and angular distributions found in this work proves to be of pivotal importance for obtaining the main characteristics of the weak interaction from experimental data processing.