Cairo University

MTPR Journal

 

MASSES OF MESON SPECTRA IN POLYAKOV LINEAR-SIGMA MODEL IN VANISHING AND FINITE MAGNETIC FIELDS

2016-12-17
Abdel Magied Abdel Aal DIAB 1,2, Abdel Nasser Tawfik 1,2 and M. T. Hussien 3
1Egyptian Center for Theoretical Physics (ECTP), MTI
University, 11571 Cairo, Egypt
2World Laboratory for Cosmology and Particle Physics
(WLCAPP), 11571 Cairo, Egypt
3Physics Department, Faculty of Science, Cairo University,
12613 Giza, Egypt

Vol./Issue: 16 , id: 232

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.