{"paper":{"title":"Leading order relativistic corrections to the ro-vibrational spectrum of $\\mbox{H}^+_2$ and $\\mbox{HD}^+$ molecular ions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.atom-ph","authors_text":"A.K. Bekbaev, D.T. Aznabayev, V.I. Korobov","submitted_at":"2018-10-18T07:22:27Z","abstract_excerpt":"High-precision variational calculations of the operators for the relativistic corrections in the leading $m\\alpha^4$ order are presented. The ro-vibrational states in the range of the total orbital angular momentum $L\\!=\\!0\\!-\\!4$ and vibrational quantum number $v\\!=\\!0\\!-\\!10$ for the $\\mbox{H}_2^+$ and $\\mbox{HD}^+$ molecular ions are considered. We estimate that about ten significant digits are obtained. This high precision is required for making theoretical predictions for transition frequencies at the level of $10^{-12}$ relative uncertainty."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.07929","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}