Abstract
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 2H1 and 4He2 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 2H1 and 4He2, respectively nuclei.
Highlights
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
We have examined the one-boson exchange potential (OBEP) to calculate the ground-state energy of 2H and 4He nuclei using two static meson functions (GY and SPED) with two sets of parameters listed in Table 1 which shows the different sets of the used parameters and for different exchange mesons, ð σ, ωÞ mesons, ðπ, σ, ωÞ mesons, and ðπ, σ, ω, ρÞ.We have mentioned that there is an effect of quantum chromodynamics (QCD) at the short range of nucleon-nucleon interaction via three bounded quarks
It was shown that a self-consistent treatment of the semirelativistic nucleon wave function in nuclear state has a great importance in calculations
Summary
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 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 outside the hadron for a short scale comparing with the confinement scale. We have two contributions in Advances in High Energy Physics the potential form, the one-gluon exchange part and the exchange of pseudo particles between quark-antiquark pair.
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