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With the knowledge of this potential bound and resonance--state properties of $\\alpha$--cluster states in $^{8}$Be and $^{12}$C as well as astrophysical S--factors of $^{4}$He($\\alpha$,$\\gamma$)$^{8}$Be and $^{8}$Be($\\alpha$,$\\gamma$)$^{12}$C are calculated.  $\\Gamma_{\\gamma}$--widths and B(E2)--values are deduced."},"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":"astro-ph/9310027","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1993-10-14T08:15:01Z","cross_cats_sorted":[],"title_canon_sha256":"db9fdf4bd92f5f586aa6e86ee83c0468fafc0f827db99e9ce522125ec00e7bea","abstract_canon_sha256":"49b9f07597e6d00e4eff71294bcb4e12ebe76844b9b309070537e7c2aebe72f2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:26.489439Z","signature_b64":"P4yHqLnXjn85kAeeBO/ZQ1UdfU3eb9K71W7YFZw5ObLpFgjfYWmICQc4CUClkNX6haktObEQJMtARAvlxZOKCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83aa08e06ed2d1a7a8dab89b698d42a605020b98eb5408ba9f81f34429dc4aa3","last_reissued_at":"2026-05-18T01:40:26.488827Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:26.488827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Properties of $^{8}$Be and $^{12}$C deduced from the folding--potential model","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"G. 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