Dispersive calculation of complex Regge trajectories for the lightest f_2 resonances and the K^∗(892)
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2015
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Elsevier Science BV
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Abstract
We apply a recently developed dispersive formalism to calculate the Regge trajectories of the f_2(1270), f´_ 2(1525) and K^∗(892) mesons. Trajectories are calculated, not fitted to a family of resonances. Assuming that these resonances can be treated in the elastic approximation, the only input are the pole position and residue of a resonance. In all three cases, the predicted Regge trajectories are almost real and linear, with slopes in agreement with the universal value of order 1 GeV_(−2). We also show how these results barely change when considering more than two subtractions in the dispersive formalism.
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© 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.
We would like to than M.R. Pennington for several discussions. J.R.P. and J.N. are supported by the Spanish project FPA2011-27853-C02-02 and the Spanish network FIS2014-57026-REDT. J.N. acknowledges funding by the Fundación Ramón Areces. A.P.S. work is supported in part by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under contracts DEAC05-06OR23177 and DE-FG0287ER40365.