Twist-3 pion and kaon distribution amplitudes from the instanton vacuum with flavor SU(3) symmetry breaking

We investigate the twist-3 pion and kaon distribution amplitudes of the pseudoscalar (phi^p_{pi,K}) and pseudotensor (phi^{sigma}_{pi,K}) types, based on the effective chiral action from the instanton vacuum. Effects of flavor SU(3) symmetry breaking are explicitly taken into account. The Gegenbauer moments and the moments of the distribution amplitudes () are also computed. Our results are summarized as follows: a^p_{2,pi} ~ 0.4, a^p_{1,K} ~ 0.02 and a^p_{2,K} ~ 0.14, and a^{sigma}_{2,pi} ~ 0.02 and a^{sigma}_{1,K} ~ a^{sigma}_{2,K} ~ 0; ^p_{\pi} ~ ^p_K ~ 0.37 and ^p_K ~ 0, and ^{sigma}_{pi} ~ ^{sigma}_K ~ 0.20 and ^{sigma}_K ~ 0. We compare our results with those from the QCD sum rules. We also discuss the relevant Wilson coefficients which were analyzed recently in chiral perturbation theory.Comment: 12 pages, 4 figures, accepted for publication in PR

Anti-oxidative activities of sorghum, foxtail millet and proso millet extracts

In this study, sorghum, foxtail millet and proso millet extracts were evaluated by various in vitro antioxidant assays, including 1,1-diphenyl-2-picryl-hydrazyl (DPPH) free radical scavenging activity, reducing power by Fe3+- Fe2+ transformation, and anti-lipid peroxidative activity by ferric thiocyanate. The sorghum extract contained high amount of phenolic compounds as well as a high level of antioxidant activity compared with foxtail millet and proso millet extracts. In addition, among the sorghum cultivar, me-susu (Sorghum dochna var. technicum, Snowden) extracts exhibited high levels of free radical scavenging activity, anti-oxidant capacity and anti-lipid peroxidative activity compared with - tocopherol. Taken together, these findings suggest that me-susu extracts can be considered good sources of natural anti-oxidants