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A similar relation holds for gluons. The result is remarkably similar to Ji's relation for the case of longitudinal polarization.\n  In this revised version, I have rectified some misle"},"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":"1109.1230","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-09-06T17:04:21Z","cross_cats_sorted":["hep-ex"],"title_canon_sha256":"d4345f093a20fa4e34e9ee2fc9c91e0d91e2bcb60ca7aa3f38246fd552cc69b5","abstract_canon_sha256":"4b5f606776b5ba01311423227ae04b9035a65f653b255ace507b8b8af9445c7d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:38.873233Z","signature_b64":"AZojAX07pTakLrDHLDTz7Tua2WelPQINiZNjNFO4WyY3tmIQ9GD7Cv3PpmEOJ0Ef973LxvngeTm7te2wJUAKBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6532f3f5ebbda7d4b8e5a1f26ea8b7bb20b9d45acec4a7639c2745cf91e40e9","last_reissued_at":"2026-05-18T02:00:38.872685Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:38.872685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"New relation between transverse angular momentum and generalized parton distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"Elliot Leader","submitted_at":"2011-09-06T17:04:21Z","abstract_excerpt":"I derive a rigorous relation between the expectation value of the transverse component of the angular momentum <J_T> of a quark in a transversely polarized nucleon in terms of the Generalized Parton Distributions H and E, namely <J_T(quark)> = 1/2M [P_0 \\int dx x E_q(x,0,0) + M \\int dx x H_q(x,0,0)] where P_0 is the energy of the nucleon and where \"quark\" implies the sum of quark and antiquark of a given flavor. 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