Particle yields in heavy ion collisions and the influence of strong magnetic fields

Abstract

It is expected that the magnetic field in the surface of magnetars do not exceed $10^{15}$ G. However, in heavy ion collisions, this value is expected to be much higher. We investigate the effects of a magnetic fields varying from $10^{18}$, to $10^{20}$ G in strange matter (composed of $u$, $d$ and $s$ quarks). We model matter as a free gas of baryons and mesons under the influence of an external magnetic field. We study the effects of such strong fields through a ${\chi }^2$ fit to some data sets of the STAR experiment. For this purpose we solve the Dirac, Rarita-Schwinger, Klein-Gordon and Proca equations subject to magnetic fields in order to obtain the energy expressions and the degeneracy for spin 1/2, spin 3/2, spin 0 and spin 1 particles, respectively. Our results show that a field of the order of $10^{19}$ G produces an improved fitting to the experimental data as compared to the calculations without magnetic field.

20 pages, 16 figures, 4 tables

References in corpus (10)

• The Chiral Magnetic Effect
• Event-by-event generation of electromagnetic fields in heavy-ion collisions
• Event-by-event fluctuations of magnetic and electric fields in heavy ion collisions
• Chiral Magnetic conductivity
• Chiral transition in a strong magnetic background
• Synchrotron radiation by fast fermions in heavy-ion collisions
• Hadron production in non linear relativistic mean field models
• The Rarita-Schwinger Particles Under de Influence of Strong Magnetic Fields
• Constraining relativistic models through heavy ion collisions
• Particle Production within the Quark Meson Coupling Model