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

Conference · Tue Jul 01 00:00:00 EDT 2014 · PoS Hadron2013

OSTI ID:1208839

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

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.

• 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: 1208839
• Report Number(s): JLAB-THY-13-1800; DOE/OR/23177-3499; arXiv:1403.3988
• Journal Information: PoS Hadron2013, Conference: Hadron 2013, 04-08 Nov 2013. Nara, Japan
• Country of Publication: United States
• Language: English