Modification of the masses of the lightest neutral mesons in a hadronic medium under an external magnetic field

Abstract

The effective masses of the neutral mesons in a hadronic medium and under an external magnetic field are evaluated as functions of the baryonic density and the field intensity. For this purpose the meson polarization is evaluated in the one loop approximation using a Quantum Hadrodynamics model which includes pions, sigma, omega, and rho mesons. The propagators of the baryons include the full effect of the coupling to the magnetic field through their charges and their anomalous magnetic moments. Within the range of magnetic intensities considered here $10^{17}$ G $<B<10^{19}$ G, the dependence on B is moderate for the pion and the longitudinal component of the omega meson, and negligible for the remaining mesons.

Matches published version

References in corpus (10)

• Neutron-Rich Nuclei in Heaven and Earth
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Equation of State for Nucleonic and Hyperonic Neutron Stars with Mass and Radius Constraints
• Charged and neutral vector meson under magnetic field
• Heavy meson spectroscopy under strong magnetic field
• $\rho$ mesons in strong abelian magnetic field in SU(3) lattice gauge theory
• Spectral properties of $\rho$ meson in a magnetic field
• Magnetic susceptibility and magnetization properties of asymmetric nuclear matter under a strong magnetic field
• Mass modification of hot pions in magnetized dense medium
• Dense nuclear matter and symmetry energy in strong magnetic fields

Cited by in corpus (10)

• The pole and screening masses of neutral pion in hot and magnetized medium: a comprehensive study in the Nambu--Jona-Lasinio model
• Magnetic field dependence of the neutral pion mass in the linear sigma model with quarks: The strong field case
• Magnetic corrections to the boson self-coupling and boson-fermion coupling in the linear sigma model with quarks
• Regularization of the Nambu-Jona Lasinio model under a uniform magnetic field and the role of the anomalous magnetic moments
• Mass spectra of neutral mesons $K_0,{\pi }_0,\eta ,{\eta }^{\prime }$ at finite magnetic field, temperature and baryon chemical potential
• Magnetic field dependence of the neutral pion longitudinal screening mass in the linear sigma model with quarks
• Strange mesons in strong magnetic fields
• Vacuum effects on the properties of nuclear matter under an external magnetic field
• Strongly interacting matter in extreme magnetic fields
• Gauge independence of pion masses in a magnetic field within the Nambu--Jona-Lasinio model