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arxiv: 2511.10341 · v1 · pith:XV775TUBnew · submitted 2025-11-13 · ✦ hep-ph

Hydrogen-like symmetry in Regge spectrum of light mesons: selection of states

classification ✦ hep-ph
keywords classificationselectionstatesexcitedhydrogen-likelightmesonsnon-strange
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We discuss the $(L,n)$-classification of excited light non-strange mesons, where $L$ and $n$ are orbital and radial quantum numbers. The selection of true non-strange quark-antiquark excited states and assigning to them definite $L$ and $n$ is a notoriously confusing problem. Three guiding principles for selection of correct observed states are formulated. They are applied for construction of a new $(L,n)$-classification. This classification is consistent both with the approximate Regge form of the spectrum and with the hydrogen-like degeneracy, i.e., the dependence of mass on the sum $L+n$.

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