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Blejske Delavnice iz Fizike - Bled Workshops in Physics
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publication venue for: Angular momentum dependent quark potential of QCD traits and dynamical O(4) symmetry
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type: Proceedings
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type: Generically Dependent Continuant

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Angular momentum dependent quark potential of QCD traits and dynamical O(4) symmetry
type: Document
type: Continuant
issue: 1
most specific type: Document
type: Conference Paper
date time value: conference paper date 7956
type: Information Content Entity
most specific type: Conference Paper
EI dscopus: 2-s2.0-34347391414
type: Thing
crisid: 7956
page end: 19
related by: authorship_50997
estado: published
type: Entity
page start: 7
has publication venue: Blejske Delavnice iz Fizike - Bled Workshops in Physics
origen: scopus
freetext keyword: Classification scheme; Confinement potential; Coulomb potential; Lattice QCD calculations; Momentum-dependent; One-gluon exchange; Quantum numbers; Self-interactions; Angular momentum; Electric fields; Hadrons; Quantum theory; High energy physics
abstract: A common quark potential that captures the essential traits of the QCD quark-gluon dynamics is expected to (i) interpolate between a Coulomb-like potential (associated with one-gluon exchange) and he infinite wall potential (associated with trapped but asymptotically free quarks), (ii) reproduce in the intermediary region the linear confinement potential (associated with multi-gluon self-interactions) as established by lattice QCD calculations of hadron properties. We first show that the exactly soluble trigonometric Rosen-Morse potential possesses all these properties. Next we observe that this potential, once interpreted as angular momentum dependent, acquires a dynamical O(4) symmetry and reproduces exactly quantum numbers and level splittings of the non-strange baryon spectra in the SU(2)i ⊗ O(4) classification scheme according to which baryons cling on to multi-spin parity clusters of the type (K/2, K/2) ⊗ [1/2, 0) ⊕ (0, 1/2)], whose relativist image is ψμ1 ⋯μK. Finally, we bring exact energies and wave functions of the levels within the above potential and thus put it on equal algebraic footing with such common potentials of wide spread as are the harmonic-oscillator- and the Coulomb potentials.
related by: authorship_50996
volume: 7
type: Article
type: Generically Dependent Continuant

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date: 2026-08-27T07:05:13
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