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A description of the IntraNuclear Cascade (INC), preequilibrium, evaporation,fission, coalescence, and Fermi breakup models used by the latest versions ofour CEM03.03 and LAQGSM03.03 event generators is presented, with a focus on ourmost recent developments of these models. The recently developed "S" and "G"versions of our codes, that consider multifragmentation of nuclei formed afterthe preequilibrium stage of reactions when their excitation energy is above 2AMeV using the Statistical Multifragmentation Model (SMM) code by Botvina et al.("S" stands for SMM) and the fission-like binary-decay model GEMINI by Charity("G" stands for GEMINI), respectively, are briefly described as well. Examplesof benchmarking our models against a large variety of experimental data onparticle-particle, particle-nucleus, and nucleus-nucleus reactions arepresented. Open questions on reaction mechanisms and future necessary work areoutlined.

CEM03.03 and LAQGSM03.03 Event Generators for the MCNP6, MCNPX, and MARS15 Transport Codes