Impact of finite volume on kaon, antikaon, and $\phi$ meson masses and decay width in asymmetric strange hadronic matter

TL;DR

This study examines how finite volume influences the in-medium properties of kaons, antikaons, and phi mesons in asymmetric strange hadronic matter using a chiral SU(3) model and multiple reflection expansion techniques.

Contribution

It introduces a comprehensive analysis of finite volume effects on meson properties in asymmetric strange hadronic matter with novel application of MRE and effective Lagrangian methods.

Findings

Finite volume significantly affects meson masses at high densities.

Scalar fields vary notably in asymmetric and strange media.

Finite volume impacts meson decay widths and masses.

Abstract

In the present work, we investigate the impact of finite volume on the in-medium properties of kaons ($K^+$, $K^0$) and antikaons ($K^-$, $\bar{K^0}$), and $\phi$ mesons in the isospin asymmetric strange hadronic medium at finite density and temperature. We use the chiral SU(3) hadronic mean-field model, which accounts for the interactions between baryons through the exchange of scalar ($\sigma, \zeta, \delta $) and vector ($\omega$, $\rho$, $\phi$) fields. To investigate the effects of finite volume, we apply the multiple reflection expansion (MRE) technique for calculations of the density of states. The non-strange scalar field $\sigma$ shows significant variation in an asymmetric medium, while the strange scalar field $\zeta$ shows good dependency in the strange medium. We use the medium-modified masses of kaons and antikaons calculated using the chiral SU(3) model to obtain the masses and decay width of $\phi$ mesons in finite volume hadronic medium. To obtain the masses and decay widths of $\phi$ mesons, an effective Lagrangian approach with $\phi$$K$$\bar{K}$ interactions at one-loop level is used in the present work. We obtain the effective masses and decay widths in the finite volume matter, for the spherical geometry of the medium with Neumann and Dirichlet boundary conditions as well as for the cubic geometry. The finite volume effects are found to be appreciable at high baryon densities.