TAUP -2916-10 [hep-ph] November 19, 2018 arXiv:1001.5157v2 [hep-ph] 11 Mar 2010 QCD motivated approach to soft interactions at high energy: inclusive production E. Gotsman, E. Levin, U. Maor Department of Particle Physics, School of Physics and Astronomy Raymond and Beverly Sackler Faculty of Exact Science Tel Aviv University, Tel Aviv, 69978, Israel (Dated: November 19, 2018) We extend our two component Pomeron model (GLMM) for soft high energy scattering to single inclusive cross sections. To this end we present a suitable formulation which also includes the semi enhanced Pomeron-particle vertex corrections. The available data on single inclusive density (1 /σ in ) dσ/dy in the c.m. energy range of 200-1800 GeV are well reproduced by our model. The just published ALICE collaboration point at 900 GeV and the CMS collaboration measurements at 900 and 2360 GeV are in excellent agreement with the calculations of our model . We also present predictions covering the complete LHC energy range which can be readily tested in the early low luminosity LHC runs. The results presented in this communication provide additional support to our Pomeron model approach. In this paper we expand our approach to soft hadron interactions, developed in Ref.[1], to obtain estimates for single inclusive cross sections. We have two main objectives: First, we wish to reproduce the existing data and predict the single inclusive experimental distributions which will be measured in the preliminary low luminosity LHC runs. The data for √$_{s}$ = 200-2360 GeV are well reproduced by our model. The first published LHC experimental output[2], provides data on p-p single inclusive cross section at √$_{s}$ = 900 GeV which is in accord with the results of our model. The recently published data by the CMS collaboration [3] at 900 GeV and the higher energy of √$_{s}$ = 2.36 TeV are also in agreement with our predictions. Second, the successful data analysis presented in this paper follows directly from our GLMM model and its fitted parameters[1]. As such, it provides additional support to the validity of our hypothesis. In our approach to soft Pomeron interactions we combine two elements: A two channel Good- Walker mechanism[4] with a super critical Regge-like Pomeron with an intercept Δ$_{IP}$ > 0, to which we add the enhanced (multi) Pomeron interactions. Our formulation is based on two main assumptions: 1) We assume that the slope of the Pomeron trajectory α ′ IP = 0. This assumption is strongly