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

TL;DR

This paper investigates how external magnetic fields affect the effective masses and decay widths of $K^0$ and $\,phi$ mesons in a hadronic medium using an effective chiral model with Landau level effects.

Contribution

It provides a detailed calculation of meson properties under magnetic fields, incorporating Landau levels and a phenomenological $K-\,phi$ interaction within a regularized framework.

Findings

Meson effective masses vary with magnetic field strength and baryonic density.

Decay widths of mesons are influenced by magnetic field and medium density.

The model predicts significant modifications to meson properties in magnetized hadronic matter.

Abstract

The one loop polarization insertions for the kaon and the $\phi$ 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 $K-\phi$ 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.