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

Document Type : Original Article

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Physics Department, Faculty of Science, Cairo University, Giza, Egypt.

Abstract

We have previously developed formulas to calculate the full Glauber series of the elastic scattering between two composite systems their structures are pictured as bag of quarks or as cluster of nucleons. In this work, we have constructed a hybrid model in which the quark-hadron pictures are combined. The elastic cross sections of alpha-proton at center of mass energy √(s )=89 GeV and alpha-alpha at √(s )=126 GeV are evaluated by the hybrid model, the pure quark and conventional nucleon models. The results of different approaches are compared with the experimental data. The comparison shows that the predictions of the three model are identical at forward scattering angles and are significantly different at large momentum transfers. At large angles, the hybrid model calculation fits very well the experimental data than the calculations of quark and nucleon models. The nucleon model prediction provides better agreement with the data than the quark model calculation. The improvement achieved by hybrid model over the quark model at large scattering angles shows that the inclusion of quark–quark interactions is more consistently when the separation between the colliding nucleons is less than the hadron core.

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