The Ground State Calculations for Some Nuclei by Mesonic Potential of Nucleon-Nucleon Interaction

• Published in: arXiv.org 2020-03
• Main Authors: Hanna, K M, Sewailem, SH M, Hussien, R, Abou-Salem, L I, Shalaby, Asmaa G
• Format: Article
• Language: English
• Subjects: Dirac equation; Exchanging; Fields (mathematics); Ground state; Mathematical models; Mesons; Nuclei; Nucleon-nucleon interactions; Nucleons; Parameters; Particle energy; Physical properties
• ISSN: 2331-8422

The interaction of Nucleon-Nucleon (NN) has certain physical characteristics, which indicated by nucleon, and meson degrees of freedom. The main purpose of this work is calculating the ground state energies of 21 Deutron and Alfa through the two-body system with the exchange of mesons (Pi, segma, omega) that mediated between two nucleons. This paper investigates NN interaction based on the quasi-relativistic decoupled Dirac equation and self-consistent Hartree-Fock formulation. We construct one-boson exchange potential (OBEP) model, where each nucleon is treated as a Dirac particle and acts as a source of pseudoscalar, scalar, and vector fields. The potential in the present work is analytically derived with two static functions of meson, the single particle energy dependent(SPED) and generalized Yukawa (GY) functions, the parameters used in meson functions are just published ones (mass, coupling constant,and cut o? parameters). The theoretical results are compared to other theoretical models and their corresponding experimental data, one can see that the SPED function gives more satisfied agreement than the GY function in case of the considered nuclei.