# In-medium properties of the light and heavy-light mesons in a light-front quark model

## TL;DR

This study explores how the properties of light and heavy-light mesons change in nuclear matter using a light-front quark model, revealing density-dependent decreases in decay constants and modifications in distribution amplitudes.

## Contribution

It introduces a combined light-front quark model with in-medium quark properties to analyze meson behaviors in nuclear matter, providing new insights into their decay constants and distribution amplitudes.

## Key findings

- Decay constants decrease with increasing nuclear density.
- Larger reduction for light-light pseudoscalar mesons.
- Smaller reduction observed for heavy-light vector mesons.

## Abstract

We investigate the in-medium properties of pseudoscalar and vector mesons with the light-light and heavy-light quarks in a light-front quark model, using the in-medium quark properties computed by the quark-meson coupling model. Both models are constructed on an equal footing with the constituent quark degree of freedom. Here, we particularly focus on the weak decay constants and distribution amplitudes (DAs) of the mesons in symmetric nuclear matter. We find that the weak decay constants decrease as nuclear density increases for $\pi$, $K$, $D$, and $B$ pseudoscalar as well as $\rho$, $K^{*}$, $D^{*}$, and $B^*$ vector mesons, where their properties in free space have good agreement with the available experimental and lattice QCD data. A larger reduction is found for the light-light quark pseudoscalar mesons, while a smaller reduction is found for the heavy-light quark vector mesons, in particular, with the bottom quark. We discuss the effect of the vector potential on the weak decay constants and present our predictions for the in-medium modifications of DAs. Also, a comparison with the free space lattice QCD data is made.