EMC effect with different oscillator-model parameters $h\omega$ for different shells by considering difference between proton and neutron structure functions

TL;DR

This paper investigates the EMC effect by adjusting oscillator-model parameters for different nuclear shells and considering proton-neutron structure function differences, leading to improved agreement with experimental data.

Contribution

It introduces the use of shell-dependent oscillator-model parameters and proton-neutron structure function differences to better explain the EMC effect.

Findings

Improved agreement with experimental data in medium x ranges.

Less binding energy yields better results.

Shell-dependent parameters enhance model accuracy.

Abstract

The magnitude of binding energy used in the conventional nuclear theory to explain the EMC experimental data, seems to be larger than the one expected. In this paper to get sufficient depletion in the binding energy, different oscillator-model parameters $ \textit{$h\omega$} $ for different shells and the proton (neutron) structure function that have good agrement with experimental data are used. The extracted results for $^4He, ^{12}C, ^{40}Ca$ and $^{56}Fe$ nuclei show that one can get improved results in medium x ranges by less binding energy.