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

Abstract

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.

Authors:
;  [1]
  1. Department of Physics and Nuclear Physics and Radiation Technology Institute (NuRI), Pusan National University, Busan 609-735 (Korea, Republic of)
Publication Date:
OSTI Identifier:
20873175
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 74; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevD.74.096007; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Nam, Seung-il, and Kim, Hyun-Chul. Twist-3 pion and kaon distribution amplitudes from the instanton vacuum with flavor SU(3) symmetry breaking. United States: N. p., 2006. Web. doi:10.1103/PHYSREVD.74.096007.
Nam, Seung-il, & Kim, Hyun-Chul. Twist-3 pion and kaon distribution amplitudes from the instanton vacuum with flavor SU(3) symmetry breaking. United States. https://doi.org/10.1103/PHYSREVD.74.096007
Nam, Seung-il, and Kim, Hyun-Chul. 2006. "Twist-3 pion and kaon distribution amplitudes from the instanton vacuum with flavor SU(3) symmetry breaking". United States. https://doi.org/10.1103/PHYSREVD.74.096007.
@article{osti_20873175,
title = {Twist-3 pion and kaon distribution amplitudes from the instanton vacuum with flavor SU(3) symmetry breaking},
author = {Nam, Seung-il and Kim, Hyun-Chul},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.74.096007},
url = {https://www.osti.gov/biblio/20873175}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 9,
volume = 74,
place = {United States},
year = {Wed Nov 01 00:00:00 EST 2006},
month = {Wed Nov 01 00:00:00 EST 2006}
}