Regge trajectory of the f0(500) resonance from a dispersive connection to its pole

Conference · Sat Nov 01 00:00:00 EDT 2014

DOI:https://doi.org/10.1142/9789814618229_0026· OSTI ID:1223377

Nebreda, J. ^[1]; Londergan, J. Timothy ^[2]; Pelaez, Jose R. ^[3]; Szczepaniak, Adam P. ^[2]

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1. Kyoto University, Kyoto, 606-8502, Japan
2. Indiana University , Bloomington, IN
3. Universidad Complutense de Madrid, 28040, Spain

We report here 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 ρ (770) and the f0(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. This provides a strong indication of the non-ordinary nature of the sigma meson.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Nuclear Physics (NP)
• DOE Contract Number: AC05-06OR23177
• OSTI ID: 1223377
• Report Number(s): JLAB-THY-13-1796; DOE/OR/23177-3310; arXiv:1403.2790
• Resource Relation: Conference: Seventh International Symposium of Chiral Symmetry in Hadrons and Nuclei, Beijing, China, 27 – 30 October 2013
• Country of Publication: United States
• Language: English