{
  "abstract": "We present a comprehensive extraction of baryon stopping transport properties derived from net-proton transverse momentum ($p_T$) spectra across a broad energy range, from $E_{\\mathrm{lab}} = 2.0\\,A\\text{ GeV}$ ($\\sqrt{s_{\\mathrm{NN}}} = 2.70\\text{ GeV}$) to $\\sqrt{s_{\\mathrm{NN}}} = 62.4\\text{ GeV}$ in central heavy-ion collisions ($\\le 10\\%$ centrality). By performing a systematic, multi-rapidity blast-wave analysis of experimental invariant yields, we extract the continuous rapidity density profile $ρ_{\\mathrm{net}}(y)$ and the transverse momentum broadening profile $\\langle p_T^2 \\rangle_{\\mathrm{net}}(y)$. Utilizing a stochastic diffusion framework governed by relativistic Fokker-Planck dynamics, we analytically derive the longitudinal friction coefficient $α_{\\mathrm{bw}}$, the rapidity diffusion coefficient $D_y$, the longitudinal relaxation time $τ_{\\mathrm{relax}}$, and the associated longitudinal Reynolds number $\\mathrm{Re}_L$. Our extracted central stopping fractions demonstrate qualitative consistency with the previous published two source thermal calculations. Crucially, the excitation function of $\\mathrm{Re}_L$ reveals a drop by a factor of $\\sim 163$, from $\\mathrm{Re}_L \\approx 4.88$ at $\\sqrt{s_{\\mathrm{NN}}} = 2.70\\text{ GeV}$ to $\\mathrm{Re}_L \\approx 0.03$ at $62.4\\text{ GeV}$. This provides a clear macroscopic baseline for the crossover from inertial, advection-dominated baryon stopping to thermal, diffusion-dominated nuclear transparency, establishing a solid data-driven baseline for the topological baryon junction dynamics and high-$μ_B$ matter anticipated at upcoming facilities, including FAIR, NICA, and the CEE.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.29499",
  "author_total": 1,
  "authors": [
    {
      "name": "Dhananjaya Thakur"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ezc40s76s4eyr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.29499",
  "fulltext_url": null,
  "id": "ezc40s76s4eyr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.29499",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "openalex",
      "3106|High-Energy Particle Collisions Research"
    ]
  ],
  "openalex": "W7223210391",
  "pdf_url": "https://arxiv.org/pdf/2610.29499",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ezc40s76s4eyr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:19Z",
      "native_id": "2610.29499",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.29499"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Multi-Energy Analysis of Baryon Stopping: Extracting Non-Equilibrium Dynamics via Stochastic Rapidity Diffusion",
  "title_text": "Multi-Energy Analysis of Baryon Stopping: Extracting Non-Equilibrium Dynamics via Stochastic Rapidity Diffusion",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:19Z",
  "url": "https://research.draconitic.com/paper/ezc40s76s4eyr",
  "venue": "arXiv",
  "versions": []
}