{"arxiv_id":"2611.15628","title":"A Non-Relativistic Model of Heavy Quarkonium","abstract":"We develop a non-relativistic, spin-dependent, phenomenological model of heavy quarkonium. The model is based on a hydrogen-like Schr\\\"odinger equation derived from a spin-dependent Hamiltonian that includes a hyperfine spin--spin interaction term. The resulting system is solved using matrix mechanics by diagonalizing the Hamiltonian to obtain the energy spectrum. The energies are further optimized using variational methods. Spin--orbit corrections are included at first order in perturbation theory. The resulting spectrum shows good agreement with experimental data for conventional heavy quarkonium states. The framework combines matrix mechanics, variational methods, and perturbation theory, and is therefore suitable for students familiar with quantum mechanics.","primary_cat":"hep-ph","cross_cats":["nucl-th"],"submitted_at":"2026-11-11T15:43:12+00:00","latest_version":1,"source":"arxiv","source_label":"arXiv","source_url":null,"has_pdf":true,"has_source":false,"verdict":"CONDITIONAL","confidence":"MODERATE","one_line_summary":"A non-relativistic model with Coulomb-plus-linear and spin-dependent potentials reproduces the masses of conventional charmonium and bottomonium states to within about 1%.","novelty_score":5.0,"correctness_risk":"medium","formal_verification":"none","upvotes":0,"downvotes":0,"pith_score":0,"inbound_count":0,"_links":{"html":"https://pith.science/paper/2611.15628","verdict":"/api/v1/verdicts/2611.15628"}}