Proton--proton and proton--antiproton differential elastic cross sections modeling at high and ultra-high energies using a hybrid computing paradigm

Abstract

This work presents a hybrid computing technique for modeling the differential elastic cross section of both proton-proton "pp" and proton-antiproton "pp(bar)" collisions from high to ultra-high energy regions (from 13.9 GeV to 14 TeV) as a function of the center-of-mass energy "s" squared and four momentum transfer squared "t". We proposed a genetic algorithm (GA) and support vector regression (SVR) hybrid techniques to calculate and predict the "differential elastic cross section" of both "pp" and "pp(bar)". Our proposed GA-SVR hybrid model shows a good match to the available experimental data, as well as predicting the latest and future "TOTEM" experiments for differential elastic cross sections that are not utilized in the training phase. An extrapolation of the differential cross section to |t| → 0 gives the total cross section through the optical theorem. The model calculations and predictions for "pp" and "pp(bar)" total cross-sections over a wide collision energy ranging from ISR to LHC are given. All the results for the total cross-sections matched well with the last and the more recent measurements ( √ s = 7 TeV and 8 TeV), as well as the results of other models for the future "TOTEM" measurements at ( √ s = 10 TeV and 14 TeV).

Energy Absorption Characteristics and Elastoplastic Damage Response of Hybrid Epoxy/Coir Fibre-Reinforced Aluminum 6063 Tubes in Axial Deformation

“…Boundary conditions were created at both reference points in the z-axis of the rigid base and striker. The overall assembly was modeled using quadrilateral elements with structured mesh, and the mesh size of 2 mm was applied according to the sensitivity response of the elements [15] along with a sizing control of (0.0 < min <1.0) by the reduced integration technique combined with hourglass control such that the ratio of the artificial energy to the internal energy is less than 5 % [14,15]. The load-displacement curves describing the elastoplastic response were obtained based on the von mises J2 plasticity condition, while the damage initiation and evolution behavior that characterized the deformation modes during the axial crushing process were obtained by incorporating the elastic constants and Hashin's damage parameters determined by asymptotic homogenization for failure characterization in ABAQUS.…”