Statistical Quark Model for the Nucleon Structure Function

Abstract

Abstract.A statistical quark model, with quark energy levels given by a central linear confining potential is used to obtain the light sea-quark asymmetry, d/u, and also for the ratio d/u, inside the nucleon. After adjusting a temperature parameter by the Gottfried sum rule violation, and chemical potentials by the valence up and down quark normalizations, the results are compared with experimental data available.Keywords: flavor symmetries, structure function, quark models PACS: 11.30.Hv, 12.39.x, 14.65.Bt We report results for the light sea-quark asymmetry, In Fig. 1, we report the results we have obtained by the model for the ratios d/u [in the left frame of Fig. 1] and d/u [right frame of Fig.1], as functions of the Bjorken scale x. Initially, in spite of the fact that we fit the GSR violation with such a model, we obtain a constant ratio between the proton and neutron structure functions [constant dashed line of Fig.1]. Next, we incorporate in the model contributions from gluonic splitting processes, which is represented by the parameter a s . This is shown in the left frame of Fig.1 [6]. Using this prescription, the constituent structure of the quark (antiquark) in

On the Difference between the Radii of Gluons and Quarks

“…To consider the gluon polarization is an interesting point to be studied soon. In this case, the set of Equations ( 5)- (11) needs to get one more equation to take this into account.…”

“…The statistical models were in vogue in the late 1980s and early 1990s [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. They basically describe the nucleon as a gas of fermions, confined in the MIT bag [21,22].…”

“…Besides, the main proposal of the present study is to calculate the radius of gluons and quarks separately; therefore, Equation (11), which still holds, splits into two equations: ∑ all quarks (momentum fraction) = 0.716 ± 0.068, (14) and…”