{"paper":{"title":"Fermionic domain-wall Skyrmions of QCD in a magnetic field","license":"http://creativecommons.org/licenses/by/4.0/","headline":"The smallest domain-wall Skyrmions in strong magnetic QCD are fermions carrying baryon number one.","cross_cats":["hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Minoru Eto, Muneto Nitta, Patrick Copinger, Zebin Qiu","submitted_at":"2025-12-26T13:02:49Z","abstract_excerpt":"The ground state of low-energy QCD matter in strong magnetic fields is either a chiral soliton lattice (CSL), a periodic array of neutral pion domain walls (chiral solitons) perpendicular to the magnetic field, or domain-wall Skyrmion phase, in which Skyrmions are induced on top of the CSL. Previously found domain-wall Skyrmions are bosons with the baryon number two. In this paper, we show that the minimum domain-wall Skyrmions are fermions with baryon number one; a bosonic domain-wall Skyrmion can be separated without energy cost into two fermionic domain-wall Skyrmions attached on the opposi"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"we show that the minimum domain-wall Skyrmions are fermions with baryon number one; a bosonic domain-wall Skyrmion can be separated without energy cost into two fermionic domain-wall Skyrmions attached on the opposite sides of a chiral soliton","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The Skyrme model or chiral effective Lagrangian accurately captures the formation and energetics of domain walls and induced Skyrmions in a background magnetic field, including the chiral limit.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Minimal domain-wall Skyrmions in magnetized QCD are fermions with baryon number one that split from bosonic pairs without energy cost.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The smallest domain-wall Skyrmions in strong magnetic QCD are fermions carrying baryon number one.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"bdf070e1d8ef9a7dba57053cf81ca7459471263d0634278f956f8484809fc317"},"source":{"id":"2512.22023","kind":"arxiv","version":2},"verdict":{"id":"4cb62a07-3128-49cb-80fd-a0083be5b08d","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-16T19:33:08.117458Z","strongest_claim":"we show that the minimum domain-wall Skyrmions are fermions with baryon number one; a bosonic domain-wall Skyrmion can be separated without energy cost into two fermionic domain-wall Skyrmions attached on the opposite sides of a chiral soliton","one_line_summary":"Minimal domain-wall Skyrmions in magnetized QCD are fermions with baryon number one that split from bosonic pairs without energy cost.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The Skyrme model or chiral effective Lagrangian accurately captures the formation and energetics of domain walls and induced Skyrmions in a background magnetic field, including the chiral limit.","pith_extraction_headline":"The smallest domain-wall Skyrmions in strong magnetic QCD are fermions carrying baryon number one."},"references":{"count":66,"sample":[{"doi":"","year":2011,"title":"The phase diagram of dense QCD","work_id":"fc5a384b-cd93-45d2-bf16-ee5e7ed401f1","ref_index":1,"cited_arxiv_id":"1005.4814","is_internal_anchor":true},{"doi":"","year":2017,"title":"The phase structure of QCD","work_id":"f36965fc-1206-44d8-9e71-b7fc6a45e165","ref_index":2,"cited_arxiv_id":"1701.04707","is_internal_anchor":true},{"doi":"","year":2019,"title":"QCD at finite temperature and chemical potential from Dyson-Schwinger equations","work_id":"838141fc-1427-4638-9050-d8ebfc7075fa","ref_index":3,"cited_arxiv_id":"1810.12938","is_internal_anchor":true},{"doi":"10.1007/978-3-642-19254-8","year":2012,"title":"S. Scherer and M. R. Schindler,A Primer for Chiral Perturbation Theory, vol. 830. 2012, 10.1007/978-3-642-19254-8","work_id":"caa48052-f295-4add-87a9-59fd81d5f2ad","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2010,"title":"From low-momentum interactions to nuclear structure","work_id":"8d8c692e-2655-4523-af49-58789a726395","ref_index":5,"cited_arxiv_id":"0912.3688","is_internal_anchor":true}],"resolved_work":66,"snapshot_sha256":"b3213cfa6e89574fb6e8c5cac3a6478fe0a367077f7c21b1069fbb3928dd7053","internal_anchors":23},"formal_canon":{"evidence_count":2,"snapshot_sha256":"aeec6c9f0a11638f23ed2dced735d8ce19306a631de702875f50cab9d6d6254d"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}