Normalization Constants of the Twist-3 Distribution Amplitudes of the Pion and Kaon From the QCD Sum Rules

WU Xing-Hua; ZHOU Ming-Zhen; HUANG Tao

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2024年10月30日

Chinese Physics C> 2005, Vol. 29> Issue(8) : 727-730

Normalization Constants of the Twist-3 Distribution Amplitudes of the Pion and Kaon From the QCD Sum Rules

Institute of High Energy Physics,CAS, Beijing 100049, China2 CCASTWorld Laboratory,Beijing 100080, China

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Abstract：
In this paper we calculate the normalization constants m_{0π}^p and m_{0K}^p of the twist-3 distribution amplitudes of the pion and kaon from the QCD sum rules,instead of using the equations of motion. We find that m_{0π}^p=1.00±0.17GeV and m_{0K}^p=1.46±0.23 GeV after including α_s corrections to the perturbative part of the sum rules. They are close to the phenomenological values. For the pion case, this shows that the value obtained in QCD sum rules is only 50% of that determined by the equation of motion.

References

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WU Xing-Hua, ZHOU Ming-Zhen and HUANG Tao. Normalization Constants of the Twist-3 Distribution Amplitudes of the Pion and Kaon From the QCD Sum Rules[J]. Chinese Physics C, 2005, 29(8): 727-730.

WU Xing-Hua, ZHOU Ming-Zhen and HUANG Tao. Normalization Constants of the Twist-3 Distribution Amplitudes of the Pion and Kaon From the QCD Sum Rules[J]. Chinese Physics C, 2005, 29(8): 727-730. shu

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Received: 2005-01-07
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Normalization Constants of the Twist-3 Distribution Amplitudes of the Pion and Kaon From the QCD Sum Rules

Corresponding author: WU Xing-Hua,

Institute of High Energy Physics,CAS, Beijing 100049, China2 CCASTWorld Laboratory,Beijing 100080, China

Received Date: 2005-01-07
Accepted Date: 1900-01-01
Available Online: 2005-08-05

Abstract: In this paper we calculate the normalization constants m_{0π}^p and m_{0K}^p of the twist-3 distribution amplitudes of the pion and kaon from the QCD sum rules,instead of using the equations of motion. We find that m_{0π}^p=1.00±0.17GeV and m_{0K}^p=1.46±0.23 GeV after including α_s corrections to the perturbative part of the sum rules. They are close to the phenomenological values. For the pion case, this shows that the value obtained in QCD sum rules is only 50% of that determined by the equation of motion.