At vanishing temperature, the Ployakov linear-sigma model (PLSM) is considered in calculating sixteen meson states. Huge magnetic fields are likely in relativistic heavyion collisions due to offcenter opposite motion of the spectator charges and momentum imbalance of the participants. Influences of such magnetic fields can be integrated to the PLSM Lagrangian through a utilization of Landau quantization, a momentum-space dimensional reduction and a modification in the energy-momentum relation. We present a novel study for sixteen meson states, especially their masses, which shall be compared to the most recent compilation of the Particle Data Group, lattice QCD spectra and other models.
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