In medium properties of $K^0$ and $\varphi$ mesons under an external magnetic field

Abstract

The one loop polarization insertions for the kaon and the $\varphi$ mesons are evaluated in a hadronic medium as functions of the field intensity and the baryonic density. For this purpose an effective chiral model of the hadronic interaction is used, supplemented with a phenomenological $K-\varphi$ interaction. The propagators of the charged particles include the full effect of the coupling to the magnetic field which induces the quantum Landau levels. Consequently, the vacuum diagrams are defined within a zeta function regularization scheme. The effective masses as well as the decay widths are introduced and examined as functions of matter density and the magnetic intensity.

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Cited by in corpus (13)

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• 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
• Renormalons in a scalar self interacting theory: thermal, thermomagnetic and thermoelectric corrections for all values of temperature
• Magnetic field dependence of the neutral pion longitudinal screening mass in the linear sigma model with quarks
• Kaons and antikaons in strong magnetic fields
• Thermomagnetic renormalons in a scalar self-interacting $\lambda {\varphi }^4$ theory
• Catalysis and inverse electric catalysis in a scalar theory
• Strange mesons in strong magnetic fields
• Vacuum effects on the properties of nuclear matter under an external magnetic field
• Scattering cross-section under external magnetic field using the optical theorem
• Strongly interacting matter in extreme magnetic fields