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A Dispersive Analysis on the $f_0(600)$ and $f_0(980)$ Resonances in $\gamma\gamma\to\pi^+\pi^-, \pi^0\pi^0$ Processes

A Dispersive Analysis on the $f_0(600)$ and $f_0(980)$ Resonances in $\gamma\gamma\to\pi^+\pi^-, \pi^0\pi^0$ Processes

Authors :
Mao, Yu
Wang, Xuan-Gong
Zhang, Ou
Zheng, H. Q.
Zhou, Z. Y.
Source :
Phys.Rev.D79:116008,2009
Publication Year :
2009

Abstract

We estimate the di-photon coupling of $f_0(600)$, $f_0(980)$ and $f_2(1270)$ resonances in a coupled channel dispersive approach. The $f_0(600)$ di-photon coupling is also reinvestigated using a single channel $T$ matrix for $\pi\pi$ scattering with better analyticity property, and it is found to be significantly smaller than that of a $\bar qq$ state. Especially we also estimate the di-photon coupling of the third sheet pole located near $\bar KK$ threshold, denoted as $f_0^{III}(980)$. It is argued that this third sheet pole may be originated from a coupled channel Breit-Wigner description of the $f_0(980)$ resonance.<br />Comment: 24 pages and 13 eps figures. A nuerical bug in previous version is fixed. Some results changed. References and new figures added. Version to appear in Phys. Rev. D

Details

Database :
arXiv
Journal :
Phys.Rev.D79:116008,2009
Publication Type :
Report
Accession number :
edsarx.0904.1445
Document Type :
Working Paper
Full Text :
https://doi.org/10.1103/PhysRevD.79.116008