Flattening of the resonance spectrum of hadrons from κ-deformed Poincaré algebra
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Elsevier B.V.
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Recently Lukierski et al. [1] defined a κ-deformed Poincaré algebra which is characterized by having the energy-momentum and angular momentum sub-algebras not deformed. Further Biedenharn et al. [2] showed that on gauging the κ-deformed electron with the electromagnetic field, one can set a limit on the allowed value of the deformation parameter ∈ ≡ 1/κ < 1 fm. We show that one gets Regge like angular excitations, J, of the mesons, non-strange and strange baryons, with a value of ∈ ∼ 0.082 fm and predict a flattening with J of the corresponding trajectories. The Regge fit improves on including deformation, particularly for the baryon spectrum.
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Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, v. 331, n. 3-4, p. 355-361, 1994.
