Eur. Phys. J. A (2022) 58: 79
https://doi.org/10.1140/epja/s10050-022-00729-3

Regular Article - Theoretical Physics

Nuclear corrections and EMC-ratio of deuteron structure function in the constituent quark exchange formalism

Physics Department, Razi University, 67149-67346, Kermanshah, Iran

^a m.rasti@razi.ac.ir, mohammad.rasti@gmail.com

Received: 2 September 2021
Accepted: 11 April 2022
Published online: 29 April 2022

Abstract

In the present analysis, the quark exchange model formalism and the constituent quark approach of Altarelli, Cabibbo, Maiani, and Petronzio formalism in which the constituent quark assumes to be a composite object, are used to study the effect of the nuclear media corrections such as shadowing, binding energy, quark exchange and Fermi motion on the structure function and EMC-ratio of the deuteron nucleus. To do so, the Altarelli constituent quark Model, the Jaffe and Hoodbohy quark exchange formalism, the nuclear shadowing model of Mueller-Qiu, and the harmonic-oscillator shell model are utilized. We have developed the previous study of the deuteron in the framework of the quark exchange model (Modarres et al., Eur Phys J A 32:327, 2007) by applying the constituent quark formalism to the quark exchange model to extract the bare constituent-up and -down quark distributions inside the bound nucleons and the deuteron’s parton distribution functions (PDFs). We also applied the phenomenological approach of the Mueller-Qiu and the harmonic-oscillator shell model to obtain the deuteron’s PDFs at small- and large-x regions, respectively. Finally, the deuteron structure function and its EMC-ratio are derived by using the obtained PDFs. To check the validity of calculations, we compared our results with the relevant and available experimental data and the predictions of some parametrization models. The results of the present study are agreed with both the experimental data and the parameterized calculations.