Elastic scattering via quark structure of nucleons

Quark-Hadron Model for Elastic scattering between two-composite systems at relativistic energies

“…The common criticism against present calculations and those previously employed in previous studies [55][56][57][58] is that the quark model always underestimates the predicted cross sections more than the nucleon model at large momentum transfers. Surely, considering the structure of the composite systems as quarks adds a larger number of scattering centers rather than their number as nucleons and consequently enlarges the number of the higher order multiple scattering terms which have an effective role at a large momentum transfer.…”

“…For analyzing composite scatterings at very high energies, many investigations reported that the precise description of Glauber multiple scattering theory requires the consideration of quarks as a substructure inside the nucleon [55][56][57][58]. The first Glauber model calculation taking this consideration was made by Franco [55] to investigate α-p and α-α elastic scattering at center of mass energy √ = 89 and 126 , respectively.…”

“…Following the remarkable analyses made by other authors [55][56][57], El-Gogary et al shared these efforts with an attempt other investigators [58] in which the quark and nucleon models are constructed using the formulas previously developed. [52][53][54].…”

“…In the present study, the author tends to improve the previously reported analysis [58] by constructing a hybrid model in which the quark and hadron models of the scattering between two composite systems were combined using the full Glauber series calculations. This combination is carried out by configurating the space of the impact parameter (b) of the two-composite scattering amplitude into two distinct regions: the interior quark region ( ≤ ) and the exterior hadronic region ( > ) where = 0.7 f , which is taken to be the boundary separating the two regions.…”

“…This would include the contribution of quark degrees of freedom more consistently in composite scattering at relativistic energies. For evaluation, the full Glauber multiple scattering series calculation of the hybrid model was performed and the results obtained are compared with the quark and nucleonic models [58] calculated independently. The formulas of the developed hybrid model presented here are given in section (2).…”