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Descrição
This study reexamines the acceleration of particles in astrophysical sources through Fermi mechanisms, incorporating the assumption of Lorentz invariance violation (LIV). The symmetry violation is approached from a phenomenological perspective, manifested as a modification in Einstein's dispersion relation. We calculate the energy spectrum and acceleration time of particles leaving the source as a function of the LIV parameter δn. Lorentz invariance violation leads to significant changes in the particle acceleration processes, specifically, it causes a strong suppression in first order acceleration and alters the energy spectral index in second order acceleration. Both behaviors are consistent with the results obtained for the modified acceleration time. This study completes the trajectory of astroparticles in the context of searching for Lorentz invariance violation, allowing for an enhanced analysis of the breaking parameters through the full LIV scenario.
