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

Journal Article · Wed Nov 01 04:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.096007· OSTI ID:20873175

Nam, Seung-il; Kim, Hyun-Chul ^[1]

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1. Department of Physics and Nuclear Physics and Radiation Technology Institute (NuRI), Pusan National University, Busan 609-735 (Korea, Republic of)

We investigate the twist-3 pion and kaon distribution amplitudes of the pseudoscalar ({phi}{sub {pi}}{sub ,K}{sup p}) and pseudotensor ({phi}{sub {pi}}{sub ,K}{sup {sigma}}) types, based on the effective chiral action from the instanton vacuum. Flavor SU(3) symmetry breaking effects are explicitly taken into account. The Gegenbauer moments and the moments of the distribution amplitudes (<{xi}{sup m}>) are also computed. Our results are summarized as follows: a{sub 2,{pi}}{sup p}{approx}0.4, a{sub 1,K}{sup p}{approx}0.02 and a{sub 2,K}{sup p}{approx}0.14, and a{sub 2,{pi}}{sup {sigma}}{approx}0.02 and a{sub 1,K}{sup {sigma}}{approx}a{sub 2,K}{sup {sigma}}{approx}0; <{xi}{sup 2}>{sub {pi}}{sup p}{approx}<{xi}{sup 2}>{sub K}{sup p}{approx}0.37 and <{xi}>{sub K}{sup p}{approx}0, and <{xi}{sup 2}>{sub {pi}}{sup {sigma}}{approx}<{xi}{sup 2}>{sub K}{sup {sigma}}{approx}0.20 and <{xi}>{sub K}{sup {sigma}}{approx}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.

• OSTI ID: 20873175
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 74; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACTION INTEGRAL
AMPLITUDES
CHIRALITY
COMPARATIVE EVALUATIONS
DISTRIBUTION
FLAVOR MODEL
INSTANTONS
KAONS
PERTURBATION THEORY
PIONS
QUANTUM CHROMODYNAMICS
SU-3 GROUPS
SUM RULES
VACUUM STATES