Elastic scattering for π+p using the Klein–Gordon equation

Author:

Arceo R.1,Sandoval L. M.1,Pedraza Omar2,López L. A.2,León-Soto G.3,Martínez-Castro J.4

Affiliation:

1. Facultad de Ciencias en Física y Matemáticas, Universidad Autónoma de Chiapas, C. P. 29050, Tuxtla Gutiérrez, Chiapas, México

2. Área Académica de Matemáticas y Física, Universidad Autónoma del Estado de Hidalgo, Carretera Pachuca-Tulancingo Km. 4.5, C. P. 42184, Mineral de la Reforma, México

3. Ingeniería en Energía y Sustentabilidad, Universidad Michoacana de San Nicolás de Hidalgo, C. P. 58030, Morelia, Michoacán, México

4. Centro de Investigación en Computación, Instituto Politécnico Nacional, Av. Juan de Dios, Bátiz, esq. Miguel Othón de Mendizábal, Col. Nueva Indrustrial Vallejo, Delegación Gustavo A. Madero, C. P. 07738, Ciudad de México, México

Abstract

Dispersion studies were made using the radial Klein–Gordon equation. The radial Klein–Gordon equation was solved numerically using the Yukawa potential and the solutions obtained were introduced in the [Formula: see text] matrix to calculate the cross-sections. This analysis was made for pions with protons at high energies. The coupling constant was adjusted in the potential to compare with experimental data and to set bounds for the parameter of the model.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Nuclear and High Energy Physics

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