Light-by-light scattering sum rules constraining meson transition form factors

被引：57
作者：
Pascalutsa, Vladimir [1 ]
Pauk, Vladyslav [1 ,2 ]
Vanderhaeghen, Marc [1 ]
机构：
[1] Johannes Gutenberg Univ Mainz, Inst Kernphys, D-55099 Mainz, Germany
[2] Taras Shevchenko Natl Univ Kyiv, Dept Phys, UA-01601 Kiev, Ukraine
来源：
PHYSICAL REVIEW D | 2012年 / 85卷 / 11期
关键词：
CROSS-SECTIONS; SPIN STRUCTURE; PHOTON; CHARMONIUM; COLLISIONS;
D O I：
10.1103/PhysRevD.85.116001
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
Relating the forward light-by-light scattering to energy weighted integrals of the gamma*gamma fusion cross sections, with one real photon (gamma) and one virtual photon (gamma*), we find two new exact superconvergence relations. They complement the known superconvergence relation based on the extension of the Gerasimov-Drell-Hearn sum rule to the light-light system. We also find a set of sum rules for the low-energy photon-photon interaction. All of the new relations are verified here exactly at leading order in scalar and spinor QED. The superconvergence relations, applied to the gamma*gamma production of mesons, lead to intricate relations between the gamma gamma decay widths or the gamma*gamma transition form factors for(pseudo) scalar, axial-vector, and tensor mesons. We discuss the phenomenological implications of these results for mesons in both the light-quark sector and the charm-quark sector.
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