High Energy Physics - Phenomenology
[Submitted on 27 Feb 2023 (v1), revised 29 May 2023 (this version, v2), latest version 13 Dec 2023 (v4)]
Title:The spectrum of low-$p_{T}$ $J/ψ$ in heavy ion collisions in a fractal description
View PDFAbstract:Transverse momentum spectrum of particles in hadron gas are affected by flow, quantum and strong interaction effects. Previously, most models are focused on only one of the three effects but ignore others. The unconsidered effects are taken into the fitted parameters. In this paper, we try to study the three effects together from a new fractal angle by physical calculation instead of data fitting. Near the critical temperature, the three effects together induce $J/\psi$ and neighbouring meson to form a two-meson structure. We set up a two-particle fractal model(TPF model) to describe this structure. In our model, we propose that under the three effects, $J/\psi$-$\pi$ two-meson state, $J/\psi$ and $\pi$ two-quark states form a self-similarity structure. With the evolution, the two-meson structure disintegrate. We introduce an influencing factor $q_{fqs}$ to describe the flow, quantum and strong interaction effects and an escort factor $q_2$ to describe the binding force between $c$ and $\bar{c}$ and the three effects. By solving the probability and entropy equations, we obtain the values of $q_{fqs}$ and $q_2$ at different collision energies and centrality classes. By substituting the value of $q_{fqs}$ into distribution function, we obtain the transverse momentum spectrum of low-$p_T$ $J/\psi$ and find it in good agreement with experimental data. We also analyze the evolution of $q_{fqs}$ with the this http URL is found that $q_{fqs}$ is larger than 1 and decreases with decreasing the temperature. This is because the three effects decrease the number of microstates, so that $q_{fqs}>1$. $q_{fqs}$ decreasing with the system evolution is consistent with the fact that with the system expansion, the influence of the three effects decreases. TPF model can be used to study other mesons and resonance states in the future.
Submission history
From: Luan Cheng [view email][v1] Mon, 27 Feb 2023 15:27:05 UTC (132 KB)
[v2] Mon, 29 May 2023 13:09:26 UTC (136 KB)
[v3] Tue, 30 May 2023 14:42:21 UTC (157 KB)
[v4] Wed, 13 Dec 2023 23:29:02 UTC (259 KB)
References & Citations
export BibTeX citation
Loading...
Bibliographic and Citation Tools
Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)
Code, Data and Media Associated with this Article
alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)
Demos
Recommenders and Search Tools
Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)
IArxiv Recommender
(What is IArxiv?)
arXivLabs: experimental projects with community collaborators
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.
Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.
Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.