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In characterizing the chiral phase-structure of pseudoscalars($J^{pc}=0^{-+}$), scalars ($J^{pc}=0^{++}$), vectors ($J^{pc}=1^{--}$) andaxial-vectors ($J^{pc}=1^{++}$) meson states and their dependence ontemperature, chemical potential, and magnetic fields, we utilize SU($3$)Polyakov linear-sigma model (PLSM) in mean-field approximation. We firstdetermine the chiral (non)strange quark condensates, $\sigma_l$ and $\sigma_s$and the corresponding deconfinement order parameters, $\phi$ and $\phi^*$,respectively, in thermal and dense (finite chemical potential) medium andfinite magnetic field. The temperature and the chemical potentialcharacteristics of nonet meson states normalized to the lowest {\it bosonic}Matsubara frequencies are analyzed. We noticed that all normalized meson massesbecome temperature independent at different {\it critical} temperatures. Weobserve that the chiral and deconfinement phase transitions are shifted tolower {\it quasicritical} temperatures with increasing chemical potential andmagnetic field. Thus, we conclude that the magnetic field seems to have almostthe same effect as that of the chemical potential, especially on acceleratingthe phase transition, i.e. inverse magnetic catalysis. We also find thatincreasing chemical potential enhances the mass degeneracy of the various mesonmasses, while increasing the magnetic field seems to reduce the criticalchemical potential, at which the chiral phase transition takes place. Our massspectrum calculations agree well with the recent PDG compilations and PNJL,lattice QCD calculations, and QMD/UrQMD simulations.

chinese physics c, high energy physics and nuclear physics/chinese physics c

Chiral phase structure and sixteen meson states in SU(3) Polyakov  linear-sigma model at finite temperature and chemical potential in strong  magnetic field