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Finite-Width Correction to Form Factors of γγ→ π0 Transition |
| HANG Sheng-Xi;ZHANG Zhen-Yu;LIU Jue-Ping |
| College of Physics and Technology, Wuhan University, Wuhan 430072 |
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| Cite this article: |
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HANG Sheng-Xi, ZHANG Zhen-Yu, LIU Jue-Ping 2006 Chin. Phys. Lett. 23 2387-2390 |
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Abstract Instead of the usual zero-width approximation for one resonance, we use the finite-width approximation for the two low resonances, i.e. the ρ-ω mesons, to investigate the light-cone local QCD sum rules for the form factor of the transition γγ→ π0. According to the method of the analytic continuation by duality, the weight function, the polynomial of a low order N, is added to the dispersion integral to annihilate the integrand in the region where both resonance saturation and the QCD asymptotic expression are least reliable. The resultant form factor in the cases for the zero- and finite-widths are almost the same, both agree well with the experimental measurements. A comparison with the result from the Laplacian transformed light-cone sum rules and a brief discussion are given.
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13.60.Le
11.55.Hx
12.40.Vv
13.40.Gp
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Published: 01 September 2006
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