Journal
PHYSICS LETTERS A
Volume 372, Issue 34, Pages 5515-5522Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2008.06.063
Keywords
perturbation and fractional calculus methods; gauge field theory; hadron mass models and calculations
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The principle of local gauge invariance is applied to fractional wave equations and the interaction term is determined up to order o((g) over bar) in the coupling constant (g) over bar. Based on the Riemann-Liouville fractional derivative definition, the fractional Zeeman effect is used to reproduce the baryon spectrum accurately. The transformation properties of the non-relativistic fractional Schrodinger-equation under spatial rotations are investigated and an internal fractional spin is deduced. (C) 2008 Elsevier B.V. All rights reserved.
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