The present work is an attempt to analyze some of the so-called problematical aspects of both the AuAu and PbPb collisions at high energies. In the framework of a phenomenological theory, called here the combinational approach (CA), we have attempted to obtain in this work the nature of the ratios of (i) invariant cross-sections in AuAu and PbPb reactions to the binary-scaled PP interaction cross-section values and (ii) the latest spurt of values on secondary proton-to-pion (p/π) ratios which have stirred much excitements recently. To our surprise, at least up to nearly pT = 4 GeV/c , we find no exotic or novel nuclear-medium effects with regard to the explanation for both observations. And in this domain it is seen that our model reproduces the reported experimental features modestly well. However, the region beyond pT = 4 GeV/c apparently necessitates introduction of various second-order effects arising out of multiple collisions involving the interacting partons; and needs to be explored separately by more detailed and in-depth future studies.
The Dispersion Relation and the Pion-Nucleon Interaction Cross Section at Very High Energies