Revisiting the Twist-3 Distribution Amplitudes of K Meson Within the QCD Background Field Approach |
| |
Authors: | ZHONG Tao WU Xing-Gang HAN Hua-Yong LIAO Qi-Li FU Hai-Bing FANG Zhen-Yun |
| |
Affiliation: | 1. Department of Physics, Chongqing University, Chongqing 401331, China;2. SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA |
| |
Abstract: | In the present paper, we investigate the kaon twist-3 distribution amplitudes (DAs) φp,σK within the QCD background field approach. The SUf(3)-breaking effects are studied in detail under a systematical way, especially the sum rules for the moments of φp,σK are obtained by keeping all the mass terms in the s-quark propagator consistently. After adding all the uncertainties in quadrature, the first two Gegenbauler moments of φp,σK are aK,p1 (1 GeV) = -0.376-0.148+0.103, aK,p2(1 GeV) = 0.701-0.491+0.481, aK,σ1 (1 GeV) = -0.160-0.074+0.051, and aK,σ2(1 GeV) = 0.369-0.149+0.163, respectively. Their normalization parameters μKp|1 m GeV = 1.188-0.043+0.039 GeV and μKσ|1 m GeV = 1.021-0.055+0.036 GeV. A detailed discussion on the properties of φp,σK moments shows that the higher-order s-quark mass terms can indeed provide sizable contributions. Furthermore, based on the newly obtained moments, a model for the kaon twist-3 wavefunction Ψp,σK(x,k⊥) with a better end-point behavior is constructed, which shall be useful for perturbative QCD calculations. As a byproduct, we make a discussion on the properties of the pion twist-3 DAs. |
| |
Keywords: | QCD sum rules Twist-3 wavefunction Kaon |
|
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
|
点击此处可从《理论物理通讯》下载全文 |
|