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Title: Non-ordinary nature of the f_0(500) resonance from its Regge trajectory

We report our results on how to obtain the Regge trajectory of a resonance from its pole in a scattering process by imposing analytic constraints in the complex angular momentum plane. The method, suited for resonances that dominate an elastic scattering amplitude, has been applied to the {\rho}(770) and the f_0(500) resonances. Whereas for the former we obtain a linear Regge trajectory, characteristic of ordinary quark-antiquark states, for the latter we find a non-linear trajectory with a much smaller slope at the resonance mass. Moreover, we show that if a linear trajectory with a slope of typical size is imposed for the f_0(500), the corresponding amplitude is at odds with the data. This provides a strong indication of the non-ordinary nature of the sigma meson.
 [1] ;  [2] ;  [3] ;  [4]
  1. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, 606-8502, Japan
  2. Indiana University , Bloomington, IN
  3. Dpto. de Física Teórica II, Universidad Complutense de Madrid, Madrid, 28040, Spain
  4. Indiana University, Bloomington, IN 47403; Jefferson Lab, Newport News, VA
Publication Date:
OSTI Identifier:
Report Number(s):
JLAB-THY-13-1800; DOE/OR/23177-3499; arXiv:1403.3988
DOE Contract Number:
Resource Type:
Resource Relation:
Journal Name: PoS Hadron2013; Conference: Hadron 2013, 04-08 Nov 2013. Nara, Japan
Research Org:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States