Using the delta isobar method in the study of resonances at the Nuclotron internal target

This article examines the two-step formation process of the Δ(1232) resonance using the Nuclotron’s internal target. Kinematic calculations of the pion production cross-section in pA interactions are employed for reaction analysis. A practical method is proposed for determining the Δ(1232) resonance production cross-section on the Nuclotron’s carbon-12 (¹²C) target. This method allows estimation of the total Δ(1232) resonance formation cross-section based on estimating the energy of incident protons (p) and deuterons (d) striking the internal target. Calculations are also presented for the yield of Y(π⁻ p) events resulting from the in-medium decay of the η-meson, based on the proposed method. KEYWORDS: Nucl