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

Abstract

The interaction of Nucleon-Nucleon (N N ) 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 2 1 H and 4 2 He through the two-body system with the exchange of mesons (π, σ, ω) that mediated between two nucleons. This paper investigates NN interaction based on the quasirelativistic 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 off 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.

Study of the Ground-State Energies of Some Nuclei Using Hybrid Model

“…The start of using the fact that there is no unique potential for determination of the effective NN potential leads to exist different forms with different methods. So, this work concerned to show the effect of our potential which is published in previous work [1]. Our potential is constructed with the idea of one-boson exchange and also depends on the motion of nucleons in the nucleus.…”

Elastic Scattering Cross Section of Pion (.π+ ) with N, 16O and 28Si

“…After long treatment of this potential as described in a previous study [23], we concluded our realistic optical potential, using the One-Boson-Exchange (OBE) model, as follows: The scalar and the vector parts of single meson exchange potential are defined in earlier studies [24][25][26][27]…”

“…where the parameter To represent the static meson function, the suggested parameters by the Julich group [5] are presented in Table ( [19,27], so the bra wave functions collected by using Clebsch-Gordon and Talmi-Moshinsky-Smirnov (GTMS) coefficients [23,[29][30][31], then the bra is defined by:…”

Analytical Investigation of the Single-Particle Energy Spectrum in Magic Nuclei of ⁵⁶Ni and ¹¹⁶Sn

“…The interaction between a proton and a neutron with all other nucleons generates an average potential field where each nucleon moves. The interacted nucleons have a nuclear mean-field potential that depends on the position coordinates [15]. There is a capability to calculate the mean-field potential in nuclei.…”