2023/05/25 by Hyeon-dong Han, Han, Hyeon-dong
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Experiment (nucl-ex) #Nuclear Theory (nucl-th) #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2305.18336
openalex publication_date 2023/05/25 · openalex created_date 2023/06/03 · openalex updated_date 2026/08/01
The elastic πN scattering is investigated for the I=3/2 channel dominated by the Δ(1232) resonance at finite baryon density, employing the effective Lagrangian approach at the tree-level Born approximation. The quark-meson coupling (QMC) model is employed to describe the in-medium baryon properties that are constructed at the quark level, such as the nucleon and Δ masses, and Δ full decay width. I reproduce the experimental data of the cross-section in a vacuum as a justification of our approach and then analyze the in-medium total and differential cross-sections as well as proton-spin asymmetry. Following the results of the in-medium elastic πN scattering calculation, the elastic πA scattering is investigated at finite baryon density in the framework of the Eikonal Glauber model for the light nuclei, 4He and 12C. For the description of the finite nuclei, the Wood-Saxon density profile, and an expansion of the charge distribution as a sum of Gaussians are employed in this study. The nuclear density distribution ρA, effective baryon mass m^*B, in-medium decay width Γ^*Δ, and in-medium coupling constants f^*πNN and f^*πN Δ are analyzed as well as the total cross-section. The results show that the effective baryon mass and cross-sections in the medium decrease as density increases except for the Δ decay width, which increases as the density increases. The elastic πA scattering at the tree-level Born approximation reproduces well the experimental data for 4He but overestimates for 12C. Results for the in-medium Δ resonance and other findings in this work will be relevant for the relativistic heavy-ion collision experiments.