Mass Spectra and Decay of Mesons under Strong External Magnetic Field

Abstract

We study the mass spectra and decay process of $\sigma$ and ${\pi }_0$ mesons under strong external magnetic field. For this purpose, we deduce the thermodynamic potential in a two-flavor, hot and magnetized Nambu-Jona-Lasinio model. We calculate the energy gap equation through the random phase approximation(RPA). Then we use Ritus method to calculate the decay triangle diagram and self-energy in the presence of a constant magnetic field B. Our results indicate that the magnetic field has little influence on the mass of ${\pi }_0$ at low temperatures. While for quarks and $\sigma$ mesons, their mass changes obviously, which reflects the influence of magnetic catalysis(MC). The presence of magnetic field accelerates the decay of the meson while the presence of chemical potential will decrease the decay process.

15 pages, 7 figures

References in corpus (9)

• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Equation of State of a Dense and Magnetized Fermion System
• Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio Model
• Inverse magnetic catalysis in dense holographic matter
• Chiral dynamics in the low-temperature phase of QCD
• Extracting the magnitude of magnetic field at freeze-out in heavy-ion collisions
• Space-average electromagnetic fields and EM anomaly weighted by energy density in heavy-ion collisions
• Anomalous decay of pion and eta at finite temperature
• Two-flavor color superconductivity at finite temperature, chemical potential and in the presence of strong magnetic fields

Cited by in corpus (1)

• Chiral condensates and screening masses of neutral pseudoscalar mesons in thermomagnetic QCD medium