# Quarkonium Phenomenology from a Generalised Gauss Law

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## Abstract

**:**

## 1. Introduction

## 2. The Gauss Law Potential Model

#### 2.1. A Novel Formulation

#### 2.2. Vetting with Lattice QCD Data

## 3. Phenomenology

#### 3.1. Spectral Functions at Finite Temperature

#### 3.2. Applications to Heavy Ion Collisions

## 4. Conclusions

## Author Contributions

## Funding

## Acknowledgments

## Conflicts of Interest

## References

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**Figure 1.**Gauss-law parametrisation and the lattice QCD potential. (

**left**) Real part (symbols) and best fit results (solid lines). (

**centre**) Tentative imaginary part (symbols) and the Gauss-law prediction (solid lines). Errorbands from uncertainty in both the $T>0$ fit and the vacuum parameters. (

**right**) Best fit values of the Debye mass and interpolation.

**Figure 3.**Thermal mass (

**left**) and spectral width (

**right**) of charmonium as a function of temperature. The error bands denote the Debye mass uncertainty arising from the fitting procedure. The continuum threshold energy on the left figure is defined as $\mathrm{Re}V\phantom{\rule{-0.166667em}{0ex}}\left(r\to \infty \right)$.

**Figure 4.**The prediction of this work (green) for the relative production yield of ${\Psi}^{\prime}$ to $J/\Psi $. We also include the statistical hadronisation model prediction [15] (purple) and experimental data measured by the NA50 [18], ALICE [19], and CMS [20,21] collaborations (red) for Pb–Pb collisions, as well as the pp baseline [15,22] (orange).

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**MDPI and ACS Style**

Lafferty, D.; Rothkopf, A. Quarkonium Phenomenology from a Generalised Gauss Law. *Universe* **2019**, *5*, 119.
https://doi.org/10.3390/universe5050119

**AMA Style**

Lafferty D, Rothkopf A. Quarkonium Phenomenology from a Generalised Gauss Law. *Universe*. 2019; 5(5):119.
https://doi.org/10.3390/universe5050119

**Chicago/Turabian Style**

Lafferty, David, and Alexander Rothkopf. 2019. "Quarkonium Phenomenology from a Generalised Gauss Law" *Universe* 5, no. 5: 119.
https://doi.org/10.3390/universe5050119