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The following article has been retracted due to the investigation of complaints received against it. Mr. Mohammadali Ghorbani (corresponding author and also the last author) cheated the author’s name: Alireza Heidari. The scientific community takes a very strong view on this matter and we treat all unethical behavior such as plagiarism seriously. This paper published in Vol.3 No.1 124-128, 2012, has been removed from this site.

Within the framework of nucleons’ standard model, the quark sea and gluons are composed of delicate quarks that at small Bjorken variables (), the quarks sea and gluons play a basic role in justification of nucleons structure function whereas the data on nucleons structure function is obtained from the distribution of up and down delicate quarks (d, u) at the large x.

Nowadays, the proton structure function is completely known in empirical and theoretical terms whereas the data on deuteron’s deep inelastic scattering is generally utilized to compute neutron structure function [1-12]. However, the results are not precisely accurate yet which this inaccuracy is due to the effects of nuclear ambience on the bound nucleon structure function, and causes bound and free nucleon structure functions to be different from each other (this phenomenon is known as the EMC effect [13,14]). In order to more investigate the neutron structure function, calculating the proportion of neutron structure function to proton structure function is useful. In this paper, it is tried to compute this proportion at the large x. Not only does the investigation of this proportion at give information about the neutron structure function at this level, but also it can give some information about the color-spin symmetry breaking in nucleons [

In this section, the and nucleuses’ structure function is computed in the momentum approximation. The nuclear convolution model is used to perform this purpose. According to the model that is as follows [26, 27]:

where is the nucleon structure function, is the distribution function of the quarks inside the A nucleus, and x is the carried-by-quark momentum fraction of the total nucleus’s momentum. represents the possibility of discovering nucleons inside the nucleus that the distribution function introduced by Akulinichev et al. is applied in this paper [26,27]. They utilized the nuclear harmonic oscillator wave functions to achieve the momentum distribution of the nucleons inside the nucleus [

where denotes the carried-by-nucleon momentum fraction of the total nucleus’s momentum, is the nucleon’s mass, and is the oscillator model’s parameter ().relates to the root mean square radii of the nucleuses participating in the scattering as [24-27]. and respectively represent the number of nucleons at the nl level and the energy of this level. Through using equations (1) to (3) for and nucleuses [26,27]:

where represents the structure function of free proton (neutron). It should be noted that the results of the GRV group is utilized herein for fitting the empirical data resulted from the deep scattering of deuteron and hydrogen [1-12]. Furthermore, and are considered, and the values offor and nucleuses are 1.95 and 1.70 Fermi, respectively [23-25]. More, the EMC ratio for these nucleuses is computed as the proportion of the nuclear structure function per nucleon unit (the bound nucleon structure function) to the free nucleon structure function (equations (6) and (7)). In

is demonstrated in

First, is computed to obtain an equation for according to the and nucleuses’ structure functions and EMC ratio [21,22,24,25]:

where and is independent of As equation (8) indicates, is dependent upon in the momentum approximation. Consequently, can be achieved according to and as the below form [21, 23,27]:

In the momentum approximation, equation (9) is a self-consistent equation that affords a freedom to determine; and this equation can be written as the below iteration equation [16,21,22]:

First, a logical zero-order approximation, , is employed. On the one hand, must be substituted from empirical data so that its dependence on can be neglected; however, due to lack of empirical data on the tritium structure function, this quantity is simulated through the theoretical approximations that equations (1) to (3) are utilized herein to compute this proportion. The last issue is to determine. As proposed by Salme et al., can be considered as the following form [21,22]:

with regards to the fact that the structure function of GRV research group is used for the structure function of free neutron and proton; therefore, is transformed into the following equation [21,22]:

In the above equation, b must be determined so that is not illogical. Salme et al. considered b = 0.5; consequently, at equals. Considering the fact that can be within the range of to 4, it can be concluded that equation (12) is a logical approximation. The computation of with considering as equation (12) for n = 2 and n = 5 is illustrated in

that is computed through analyzing the structure function of deuteron and hydrogen. As is evident in this figure, by means of equation (10), for the large x (near to 1) approaches from (the empirical results) to that is satisfactory with regards to the descriptions given in the first section.

As a brief of this paper, first, the structure function of and nucleuses is computed using the nuclear convolution model including the Fermi motion and nuclear binding energy. In these calculations, the results of the free nucleons structure function obtained by the GRV research group (Glück et al.) are utilized. More, the proportion of EMC for and nucleuses is achieved; the proportion of the neutron structure function to proton structure function as a self-consistent equation according to the structure function and EMC ratio of and nucleuses that can be written are reviewed. The obtained results are compared with other articles’ results (demonstrated in

The work described in this paper was fully supported by grants from the Institute for Advanced Studies of Iran. The authors would like to express genuinely and sincerely thanks and appreciated and their gratitude to Institute for Advanced Studies of Iran.