# Elliptical flow coalescence to identify the $f_{0}$(980) content

## TL;DR

This paper proposes a coalescence model combined with transport simulation data to distinguish different internal structures of the $f_{0}$(980) particle based on elliptic flow scaling.

## Contribution

It introduces a method to identify the quark configuration of $f_{0}$(980) using elliptic flow scaling from coalescence models and transport simulations.

## Key findings

- Elliptic flow scaling can differentiate between $s\bar{s}$, tetraquark, and molecular configurations.
- The model successfully reproduces constituent quark number scaling behavior.
- Different internal structures show distinct elliptic flow patterns.

## Abstract

We use a simple coalescence model to generate $f_{0}$(980) particles for three configurations: a ${s\bar{s}}$ meson, a ${u\bar{u}s\bar{s}}$ tetraquark, and a ${K^{+}K^{-}}$ molecule. The phase-space information of the coalescing constituents is taken from a multi-phase transport (AMPT) simulation of heavy-ion collisions. It is shown that the number of constituent quarks scaling of the elliptic flow anisotropy can be used to discern ${s\bar{s}}$ from ${u\bar{u}s\bar{s}}$ and ${K^{+}K^{-}}$ configurations.