Twist-3 distribution amplitudes of the pion and kaon from the QCD sum rules

• Published in: The European physical journal. C, Particles and fields Particles and fields, 2005-08, Vol.42 (3), p.271-279
• Main Authors: Huang, Tao, Zhou, Ming-Zhen, Wu, Xing-Hua
• Format: Article
• Language: English
• Subjects: Amplitudes; Kaons; Pions; Sum rules; Uncertainty; Wave functions
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s2005-02285-x

Twist-3 distribution amplitudes of the pion and kaon are studied in this paper. We calculate the first several moments for the twist-3 distribution amplitudes (\( \phi_{p,\sigma}^\pi\) and \( \phi_{p,\sigma}^K\)) of the pion and kaon by applying the QCD sum rules. Our results show that (i) the first three moments of \( \phi_p^K \) and the first two moments of \( \phi_p^\pi \) and \( \phi_\sigma^{\pi,K} \) of the pion and kaon can be obtained with 30\(\%\) uncertainty; (ii) the fourth moment of the \( \phi_p^\pi \) and the second moment of the \( \phi_\sigma^K \) can be obtained when the uncertainty are relaxed to 35\(\%\); (iii) the fourth moment of the \( \phi_\sigma^\pi \) can be obtained only when the uncertainty are relaxed to 40\(\%\); (iv) we have \(m_{0\pi}^p = 1.10\pm 0.08 {\mathrm {GeV}}\) and \(m_{0K}^p = 1.25\pm 0.15 {\mathrm {GeV}}\) after including the \(\alpha_{\mathrm {s}}\)-corrections to the perturbative part. These moments will be helpful for constructing the twist-3 wave functions of the pion and kaon.