Motivated by the recent work on the calculation of the πNN coupling constant using QCD sum rule beyond the chiral limit, we construct the corresponding sum rules for the couplings, ηNN, πΞΞ, ηΞΞ, πΣΣ and ηΣΣ. In constructing the η-baryon sum rules, we use the second moment of the η wave function, which we obtain from the pion wave function after SU(3) rotation. In the SU(3) symmetric limit, we can identify the term responsible for the F/D ratio in the OPE, which after the sum rule analysis gives F/D ∼ 0.2, a factor of three smaller than from other studies. We also present a qualitative analysis including the SU(3) breaking terms.
Bibliographical noteFunding Information:
This work is supported in part by the Grant-in-Aid for JSPS fellow, and the Grant-in-Aid for scientific research (C) (2) 11640261 of the Ministry of Education, Science, Sports and Culture of Japan. The work of H. Kim is also supported by Research Fellowships of the Japan Society for the Promotion of Science. The work of S.H. Lee is supported by the Korean Ministry of Education through grant no. 98-015-D00061.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics