{"paper":{"title":"$q\\bar{q}$ scattering phase shift in the $\\pi^0$ channel and ${\\pi}^0$ meson spectral function under external magnetic field and finite meson momentum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-ph","authors_text":"Chonglong Xie, Guoyun Shao, Min Zhou, Shijun Mao, Yvming Tian, Zhiyang Liu","submitted_at":"2026-08-07T04:13:11Z","abstract_excerpt":"$q\\bar{q}$ scattering phase shift in the $\\pi^0$ channel $\\Phi_{\\pi^0}(\\omega^2,\\mathbf{k}_\\perp^2,k^2_3)$ and ${\\pi}^0$ meson spectral function $\\rho_{\\pi^0}(\\omega^2,\\mathbf{k}_\\perp^2,k^2_3)$ under external magnetic field $eB$ and finite meson momentum $\\mathbf{k}_\\perp^2,k^2_3$ are studied in the framework of a two-flavor Nambu-Jona-Lasinio (NJL) model. The $q\\bar{q}$ scattering phase shift in the $\\pi^0$ channel $\\Phi_{\\pi^0}$ is closely related to $\\pi^0$ spectral function $\\rho_{\\pi^0}$. We consider three situations, chiral broken phase ($T=\\mu=0$), chiral restoration phase ($T>T_{pc},\\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.06788","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.06788/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}