Research Article Study of the Ground-State Energies of Some Nuclei Using Hybrid Model R. Hussien , 1 Sh. M. Sewailem, 1 and L. I. Abou-Salem 2 1 Mathematics Theoretical Physics Department, Atomic Energy Authority, Cairo, Egypt 2 Physics Department, Faculty of Science, Benha University, Benha, Egypt Correspondence should be addressed to R. Hussien; rabab.hussien216@gmail.com Received 21 March 2021; Revised 6 July 2021; Accepted 4 August 2021; Published 6 September 2021 Academic Editor: Shi Hai Dong Copyright © 2021 R. Hussien et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP 3 . The quark-quark (QQ) interaction as a perturbed term to the nucleon-nucleon interaction (NN) without any coupling between them is studied in a hybrid model. This model is used to calculate the ground-state energies of 2 H 1 and 4 He 2 nuclei. In a semirelativistic framework, this model is encouraged for light nuclei and the instanton-induced interaction by using the QQ potential and the NN interaction for a small scale around the hadron boundaries. This hybrid model depends on two theories, the one-boson exchange potential (OBEP) and the Cornell-dressed potential (CDP) for QQ. A small effect of quark-quark interaction is obtained on the values of the ground-state energies, around 6.7 and 1.2 percentage for 2 H 1 and 4 He 2 , respectively nuclei. 1. Introduction One of the fundamental problems of the nuclear structure is the derivation of the ground-state energies through different methods, such as properties related to the constituents of matter, which are represented in the physics of elementary particles with their characteristics and how each particle interacts with others. The interaction between each nucleon with all other nucleons generates an average potential field where each nucleon moves. The rules of the Pauli exclusion principle govern the occupation of orbital quantum states in the shell model and postulate that under the meson exchange between two nucleons, the wave function is the antisymmetrical product wave function. The calculation of the nuclear mean-field potential with Dirac-Hartree-Fock qualifies the description of nucleon-nucleon interaction to be successful microscopically. The interaction between two nucleons has three regions with three ranges. The first region originated from pseudoscalar meson, the second region was related to the scalar meson, and the third region was caused by the exchange of vector meson besides the effects of quan- tum chromodynamics (QCD). The nucleon-nucleon poten- tial has no definite method to determine it. The Bonn group potential known as one-boson exchange potential is supposed to be the suitable model for this interaction because of the reduction of free parameters and fitting them accurately with the experimental data. On the other hand, the quark degrees of freedom are under the dynamics of QCD. The interaction between quarks has various forms of potentials, and these forms have to regard the quark properties (confinement and asymptotic properties). The mechanism of the one-gluon exchange approach is dominant at the short range with two parts. The linear confinement at a long distance and a part of the asymptotic property represented in the pairing force acting only on the quark-antiquark states. The constituents of baryons composed of u, d, s quarks can use a semirelativistic potential model that refers to their interaction, including the instanton-induced forces. The instanton-induced model is used to describe baryons composed of light quarks that are demanded in the considered baryons. This interaction resembles the tunneling phenomena as it can be affected out- side the hadron for a short scale comparing with the confine- ment scale. In the used model, we have two contributions in Hindawi Advances in High Energy Physics Volume 2021, Article ID 9915801, 14 pages https://doi.org/10.1155/2021/9915801