Meson's Correlation Functions in a Nuclear Medium

TL;DR

This paper uses holographic models to study how meson properties like spectrum and decay constants change in a nuclear medium, revealing isospin-dependent splittings and density effects on form factors.

Contribution

It introduces a holographic approach to analyze meson behavior in nuclear matter, highlighting isospin interactions and density-dependent modifications.

Findings

Meson spectrum and decay constants split due to isospin interactions.

The $ ho$-meson form factor decreases with increasing nuclear density.

Interaction with axial vector mesons increases as density rises.

Abstract

We investigate meson's spectrum, decay constant and form factor in a nuclear medium through holographic two- and three-point correlation functions. To describe a nuclear medium composed of protons and neutrons, we consider a hard wall model on the thermal charged AdS geometry and show that due to the isospin interaction with a nuclear medium, there exist splittings of the meson's spectrum, decay constant and form factor relying on the isospin charge. In addition, we show that the $\rho$-meson's form factor describing an interaction with pseudoscalar fluctuation decreases when the nuclear density increases, while the interaction with a longitudinal part of an axial vector meson increases.