{
  "abstract": "We investigate the dissociation of the neutral pion in hot magnetized quark matter within the two-flavor Nambu--Jona-Lasinio model. At zero magnetic field, the Mott temperature is conventionally determined by $m_{π^0}(T_{\\rm Mott})=2M(T_{\\rm Mott})$, above which a real pole ceases to exist. At finite magnetic field, Landau quantization replaces this single threshold by a hierarchy of quark--antiquark continua and generates multiple solutions of the pion pole equation, rendering a direct threshold-crossing criterion ambiguous since a real pion solution below the lowest nominal threshold always exists. We therefore propose to define the magnetic Mott temperature through the inflection point of the pion wave-function renormalization factor $Z_{π^0}(T,eB)$ of that lowest pole, corresponding to the fastest loss of its spectral function strength. The prescription reproduces the conventional Mott temperature as $eB\\to 0$ and tracks the chiral pseudocritical temperature for both constant and magnetic-field-dependent couplings. Our results characterize pion dissociation in a magnetic field as a spectral crossover rather than a simple threshold crossing.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.31125",
  "author_total": 6,
  "authors": [
    {
      "name": "Sidney S. Avancini"
    },
    {
      "name": "Maximo Coppola"
    },
    {
      "name": "Dyana C. Duarte"
    },
    {
      "name": "Ricardo L. S. Farias"
    },
    {
      "name": "Norberto N. Scoccola"
    },
    {
      "name": "William R. Tavares"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fjprm0sa4qzyb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.31125",
  "fulltext_url": null,
  "id": "fjprm0sa4qzyb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.31125",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-lat"
    ],
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "openalex",
      "3106|High-Energy Particle Collisions Research"
    ]
  ],
  "openalex": "W7204930037",
  "pdf_url": "https://arxiv.org/pdf/2608.31125",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fjprm0sa4qzyb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.31125",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.31125"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    }
  ],
  "title": "From Threshold Crossing to Wave-function Renormalization: Defining the Pion Mott Temperature in a Magnetic Field",
  "title_text": "From Threshold Crossing to Wave-function Renormalization: Defining the Pion Mott Temperature in a Magnetic Field",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:41Z",
  "url": "https://research.draconitic.com/paper/fjprm0sa4qzyb",
  "venue": "arXiv",
  "versions": []
}