Study of infinite nuclear matter and finite nuclei properties using the phenomenological forces based on Brueckner-Hartree-Fock calculations

Document Type : Regular Articles

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1 Sohag University, Egypt

2 Physics Department, Faculty of Science, Sohag University, Egypt e-mail: hbadry@taibahu.edu.sa

3 Physics Department, Faculty of Science, Sohag University, Egypt

10.21608/sjsci.2025.408735.1300

Abstract

 We present a comprehensive investigation of nuclear matter saturation properties and finite nuclei characteristics, emphasizing the critical role of three-body forces (3BF) in bridging microscopic interactions with macroscopic nuclear phenomena. Using Brueckner-Hartree-Fock (BHF) theory with modern nucleon-nucleon potentials (AV14, AV18, CD-Bonn, N3LO), we demonstrate that two-body forces alone fail to reproduce empirical saturation properties (r0 = 0:17 fm-3;E=A = -15:78 MeV). The inclusion of consistent 3BF yields remarkable agreement, particularly for the chiral N3LO potential. Our extension to finite nuclei employs energy density functional methods with optimized Skyrme parameterizations (SKM*), providing binding energies and charge radii in excellent agreement with experimental data. The study highlights the tensor force’s influence on the equation of state and introduces improved density functionals that address previous limitations in describing neutron-rich systems. These results establish a robust connection between ab initio nuclear matter calculations and finite-nuclei phenomenology, with significant implications for nuclear structure. 

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