# Analysis of soft wall AdS / QCD potentials to obtain melting temperature of scalar hadrons

## TL;DR

This paper analyzes potentials in a 5D AdS black hole background to determine melting temperatures of various scalar hadrons, revealing that heavy quark content increases stability in a thermal environment.

## Contribution

It introduces a method to compute melting temperatures of scalar hadrons without spectral function calculations, applicable to hadrons with any number of constituents.

## Key findings

- Mesons are more resistant to melting than other scalar hadrons.
- Melting temperature increases with the presence of heavy quarks.
- The approach simplifies the analysis of hadron stability in thermal baths.

## Abstract

We consider an analysis of potentials related to Schr\"odinger-type equations for scalar fields in a 5D AdS black hole background with dilaton in order to get melting temperatures for different hadrons in a thermal bath. The approach does not consider calculations of spectral functions and it is easy to get results for hadrons with an arbitrary number of constituents. We present results for scalar mesons, glueballs, hybrid mesons and tetraquarks, and we show that mesons are more resistant to being melted in a thermal bath than other scalar hadrons, and in general the melting temperature increases when hadrons contain heavy quarks.