{"paper":{"title":"Spacings of Quarkonium Levels with the Same Principal Quantum Number","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Aaron K. Grant, Andre Martin, Jean-Marc Richard, Joachim Stubbe, Jonathan L. Rosner","submitted_at":"1995-06-13T15:17:17Z","abstract_excerpt":"The spacings between bound-state levels of the Schr\\\"odinger equation with the same principal quantum number $N$ but orbital angular momenta $\\ell$ differing by unity are found to be nearly equal for a wide range of power potentials $V = \\lambda r^\\nu$, with $E_{N \\ell} \\approx F(\\nu, N) - G(\\nu,N) \\ell$. Semiclassical approximations are in accord with this behavior. The result is applied to estimates of masses for quarkonium levels which have not yet been observed, including the 2P $c \\bar c$ states and the 1D $b \\bar b$ states."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9506315","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"}