Abstract:ÓÂÔÔÇâÐËâ. ±ÓÑ×ËÎß-×ÖÐÍÙËâ Ä ÒÓÇAEÔÕÂÄÎÇÐËË ÒÓËÙÇÎß-ÐÑÅÑ ÒÂÓÂÏÇÕÓÂ, Tb, ÒÓË ÄÞÔÑÍËØ àÐÇÓÅËâØ ÄÞÓÂÉÂÇÕÔâ ÍÂÍ The current status of ultrahigh energy diffractive collisions is presented. Gribov's total cross section universality is discussed in terms of the proéle and K-matrix functions in impact parameter space.
“…Many phenomenological models were proposed (see, e.g., recent papers [9,10,11,12,13,14,15,16,17,18,19,20] and references therein) for explanation of these peculiarities. Among them, the kfk-model [17,18] must be especially highlighted.…”
The ratio of elastic to total proton cross sections is related to the darkness of the spatial profile of inelastic interactions by a single parameter in the framework of a simple analytical model. Their critical values at LHC energies are discussed. Two possible variants of their asymptotical behavior are described.
“…Many phenomenological models were proposed (see, e.g., recent papers [9,10,11,12,13,14,15,16,17,18,19,20] and references therein) for explanation of these peculiarities. Among them, the kfk-model [17,18] must be especially highlighted.…”
The ratio of elastic to total proton cross sections is related to the darkness of the spatial profile of inelastic interactions by a single parameter in the framework of a simple analytical model. Their critical values at LHC energies are discussed. Two possible variants of their asymptotical behavior are described.
In this paper, one uses the Tsallis entropy in the impact parameter space to study pp andpp inelastic overlap function and the energy density filling up mechanism responsible by the so-called black disk limit as the energy increases. The Tsallis entropy is non-additive and non-extensive and these features are of fundamental importance since the internal constituents of pp andpp are strongly correlated and also the existence of the multifractal character of the total cross-section. The entropy approach presented here takes into account a phase transition occurring inside the hadrons as the energy increases. This phase transition in the impact parameter space is quite similar to the Berezinskii-Kosterlitz-Thouless phase transition, possessing also a topological feature due to the multifractal dimension of the total cross-sections in pp andpp scattering.
It is proposed to identify a strong electric field -created during relativistic collisions of asymmetric nuclei -via the observation of pseudorapidity and transverse momentum distributions of hadrons with the same mass but opposite charge. The results of detailed calculations within the Parton-Hadron String Dynamics (PHSD) approach for the charge-dependent directed flow v1 are presented for semi-central Cu+Au collision at √ sNN = 200 GeV incorporating the inverse Landau-Pomeranchuk-Migdal (iLPM) effect, which accounts for a delay in the electromagnetic interaction with the charged degree of freedom. Including the iLPM effect we achieve a reasonable agreement of the PHSD results for the charge splitting in v1(pT ) in line with the recent measurements of the STAR Collaboration for Cu+Au collisions at √ sNN = 200 GeV while an instant appearance and coupling of electric charges at the hard collision vertex overestimates the splitting by about a factor of 10. We predict that the iLPM effect should practically disappear at energies of √ sNN ≈9 GeV, which should lead to a significantly larger charge splitting of v1 at the future FAIR/NICA facilities.
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