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Pion-nucleus elastic scatterings incorporating medium effects within the Eikonal-Glauber mode

2024/02/21 by Hyeon-dong Han, Parada T. P. Hutauruk, Han, Hyeon-dong +3
Earth and Planetary Sciences · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-pressure geophysics and materials #Nuclear Theory (nucl-th) #Seismic Imaging and Inversion Techniques #Seismic Waves and Analysis

paper · pdf · doi:10.48550/arxiv.2402.13526

openalex publication_date 2024/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this present investigation, we explore the elastic scattering of pions with nuclei (π-A), primarily influenced by the Δ(1232) resonance, within the Eikonal-Glauber model. The medium effects are incorporated by considering nuclear-density (ρA) dependent masses of baryons and strong coupling constants. These dependencies are computed and parameterized up to O(ρA2) based on the quark-meson coupling (QMC) model. The Wood-Saxon type density profile is utilized for the bound nucleons within finite nuclei. The element π+-N scattering cross section for the Glauber approach is determined using the conventional effective Lagrangian method. Subsequently, we analyze the total cross sections for elastic scattering with 4He and 12C targets. Our numerical results demonstrate a favorable agreement with JINR data for the 4He target, accurately reproducing the total cross-section. However, when considering the 12C target, deviations of approximately \lesssim10%. We also consider the multiple-scattering effects inside the nucleus approximately, using the single-channel meson-baryon Bethe-Salpeter equation, resulting in the effective width broadening of the Δ resonance to reproduce the data better.

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