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As an application, we demonstrate that SO coupling can induce scattering resonance in the case with finite scattering length. The same approach can be applied to calculate the two-body bound state of SO-coupled ultracold atoms. For the ultracold spin-1/2 fermi gases in three- or two- dimensional systems with SO coupling, we also obtain the renormalization relation of effecti"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1211.6919","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-11-29T14:01:46Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"8fee5d89a9e6f36f5914a759d9637d1cae3b97e5b81e8d542642f804c3a358be","abstract_canon_sha256":"4e10153624bd496452c76358ae37ffc2511bf44ad7dc1202ade72c909b54d638"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:18:31.393150Z","signature_b64":"mZ51hhxqv6+s12VEOxebRNe4wWdJ8ExViHsCeZrgxO66vT2RqL9XYbqQVIEjZsw4Fb1jFoToPtRv0M8mjdBSAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1217b8c7130a4ca9c90da8ecd0c32f59ea7c0cfd7b976a66bea10e0591476b9e","last_reissued_at":"2026-05-18T03:18:31.392424Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:18:31.392424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scattering and effective interactions of ultracold atoms with spin-orbit coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Long Zhang, Peng Zhang, Youjin Deng","submitted_at":"2012-11-29T14:01:46Z","abstract_excerpt":"We derive an analytical expression for the scattering amplitude of two ultracold atoms of arbitrary spin and with general spin-orbit (SO) coupling, on the basis of our recent work (Phys. 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