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The cross sections are calculated in the Glauber theory using the density distributions obtained with the Skyrme-Hartree-Fock method in 3-dimensional coordinate space. Defining a reaction radius, $a_R=\\sqrt{\\sigma_R/\\pi}$, to characterize the nuclear size and target (proton or $^{12}$C) dependence, we find an empirical formula for expressing $a_R$ with the point matter radius and the skin thickness, and asses"},"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":"1401.1552","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2014-01-08T00:54:36Z","cross_cats_sorted":["nucl-ex"],"title_canon_sha256":"e33ee60726076156f1a923ec8a50e649a224e2f9f9755ecb5e809da68b500737","abstract_canon_sha256":"418bd0093f8b80727df1a21e88e0b7a2780b0a1e554bc259cc6f51f150b789e8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:45:33.032248Z","signature_b64":"N2wWNc346b/H61Nvwg/To3StdJftEz9719Nh7pZvxfGnNpkHjsiJI6soCC9sPrjqLLJJr+e+8WNt4/ylOUhaAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2db6da74a1498f1d346e741e537f678cb859801bc156e3dda4df8e394524e971","last_reissued_at":"2026-05-18T01:45:33.031581Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:45:33.031581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Probing neutron-skin thickness with total reaction cross sections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-ex"],"primary_cat":"nucl-th","authors_text":"T. 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