2017
DOI: 10.1140/epjc/s10052-017-4994-3
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The non-ordinary Regge behavior of the $$K^*_0(800)$$ K 0 ∗ ( 800 ) or $$\kappa $$ κ -meson versus the ordinary $$K^*_0(1430)$$ K 0 ∗ ( 1430 )

Abstract: The Regge trajectory of an elastic resonance can be calculated from dispersion theory, instead of fitted phenomenologically, using only its pole parameters as input. This also provides a correct treatment of resonance widths in Regge trajectories, essential for very wide resonances. In this work we first calculate the K * 0 (1430) Regge trajectory, finding the ordinary almost real and linear behavior, typical of qq resonances. In contrast, for the K * 0 (800) meson, the resulting Regge trajectory is non-linear… Show more

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Cited by 16 publications
(11 citation statements)
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“…For additional recent works on this state, see Refs. [47,48], and references therein. This similarity is interesting also in view of an important difference between the two systems: the decay of 320 a scalar kaon into two pseudoscalars is a s-wave (Γ ∼ k) while that of a vector charmonium into two pseudoscalars is a p-wave (Γ ∼ k 3 ).…”
Section: Pole Positionsmentioning
confidence: 99%
“…For additional recent works on this state, see Refs. [47,48], and references therein. This similarity is interesting also in view of an important difference between the two systems: the decay of 320 a scalar kaon into two pseudoscalars is a s-wave (Γ ∼ k) while that of a vector charmonium into two pseudoscalars is a p-wave (Γ ∼ k 3 ).…”
Section: Pole Positionsmentioning
confidence: 99%
“…These results are also in agreement with what is expected from algebraic [17,18] (α = 1.07 ± 0.02 GeV −2 ) and relativistic [20] (α 1 GeV −2 ) quark models, despite the fact that they miss dynamics [64] that are present in the actual Regge trajectories. The 1 2 ± trajectories should have (6) 5.84 (7) the same slope [1], hence once we have a robust determination from the 1 2 + (+) we can use it to benchmark and assess the parameters extracted from other trajectories. trajectory.…”
Section: A Fits and Error Analysismentioning
confidence: 99%
“…According to Regge theory, resonances appear as poles in the angular momentum plane. The pole location, which changes as a function of the resonance mass and defines the so-called Regge trajectory, can be used to study the microscopic mechanisms responsible for resonance formation [4][5][6][7].…”
Section: Introductionmentioning
confidence: 99%
“…Besides, scenario II is also supported by a lattice calculation [43] and the recent Regge trajectory calculation [44]. Hence, we prefer to use the Gegenbauer moments B 1 ¼ −0.57 AE 0.13 at the 1 GeV scale in scenario II obtained using the QCD sum rule method [37,38].…”
Section: Frameworkmentioning
confidence: 99%