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Fractional Quantum Models and the Properties of Hadrons

Fractional Quantum Models and the Properties of Hadrons

Paperback

Physics

ISBN10: 6630007263
ISBN13: 9786630007268
Publisher: LAP Lambert Academic Publishing
Published: Jul 30 2026
Pages: 176
Weight: 0.54
Height: 0.41 Width: 6.00 Depth: 9.00
Language: English
The study of heavy quarkonia (charm, bottom) alongside heavy-light mesons (D, B) and baryons (Λ c​,Ξ cc​ ) is essential for mapping Quantum Chromodynamics (QCD) within its non-perturbative, confining regime. While traditional relativistic and non-relativistic wave equations provide a baseline, augmenting them with fractional calculus offers a robust mathematical framework. This approach effectively captures the anomalous diffusion and long-range structural interactions inherent to QCD color confinement.1. Non-Relativistic Systems: The Fractional Schrödinger Equation For heavy-heavy systems (quarkonia), where the large reduced mass justifies a non-relativistic approach, the N-radial generalized fractional Schrödinger equation (SE) is applied. Mechanism: The standard kinetic energy operator is replaced by a fractional derivative of order α (where 0

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Physics