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Title: Leading-twist distribution amplitudes of scalar and vector mesons

Abstract

A symmetry-preserving truncation of the two-body light-quark bound-state problem in relativistic quantum field theory is used to calculate the leading-twist parton distribution amplitudes (PDAs) of scalar systems, both ground-state and radial excitations, and the radial excitations of vector mesons. Owing to the fact that the scale-independent leptonic decay constant of a scalar meson constituted from equal-mass valence-constituents vanishes, it is found that the PDA of a given scalar system possesses one more zero than that of an analogous vector meson. Consequently, whereas the mean light-front relative momentum of the valence-constituents within a vector meson is zero, that within a scalar meson is large, an outcome which hints at a greater role for light-front angular momentum in systems classified as P-wave in quantum mechanical models. Values for the scale-dependent decay constants of ground-state scalar and vector systems are a by-product of this analysis, and they turn out to be roughly equal, viz. ≃ 0.2 GeV at an hadronic scale. In addition, it is confirmed that the dilation characterising ground-state PDAs is manifest in the PDAs of radial excitations too. The impact of SU(3)-flavour symmetry breaking is also considered. When compared with pseudoscalar states, it is a little stronger in scalar systems,more » but the size is nevertheless determined by the flavour-dependence of dynamical chiral symmetry breaking and the PDAs are still skewed toward the heavier valence-quark in asymmetric systems.« less

Authors:
; ; ; ;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
National Natural Science Foundation of China (NNSFC); USDOE Office of Science - Office of Nuclear Physics
OSTI Identifier:
1391652
DOE Contract Number:  
AC02-06CH11357
Resource Type:
Journal Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 94; Journal Issue: 9; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English

Citation Formats

Li, B. -L., Chang, L., Ding, M., Roberts, C. D., and Zong, H. -S. Leading-twist distribution amplitudes of scalar and vector mesons. United States: N. p., 2016. Web. doi:10.1103/PhysRevD.94.094014.
Li, B. -L., Chang, L., Ding, M., Roberts, C. D., & Zong, H. -S. Leading-twist distribution amplitudes of scalar and vector mesons. United States. doi:10.1103/PhysRevD.94.094014.
Li, B. -L., Chang, L., Ding, M., Roberts, C. D., and Zong, H. -S. Tue . "Leading-twist distribution amplitudes of scalar and vector mesons". United States. doi:10.1103/PhysRevD.94.094014.
@article{osti_1391652,
title = {Leading-twist distribution amplitudes of scalar and vector mesons},
author = {Li, B. -L. and Chang, L. and Ding, M. and Roberts, C. D. and Zong, H. -S.},
abstractNote = {A symmetry-preserving truncation of the two-body light-quark bound-state problem in relativistic quantum field theory is used to calculate the leading-twist parton distribution amplitudes (PDAs) of scalar systems, both ground-state and radial excitations, and the radial excitations of vector mesons. Owing to the fact that the scale-independent leptonic decay constant of a scalar meson constituted from equal-mass valence-constituents vanishes, it is found that the PDA of a given scalar system possesses one more zero than that of an analogous vector meson. Consequently, whereas the mean light-front relative momentum of the valence-constituents within a vector meson is zero, that within a scalar meson is large, an outcome which hints at a greater role for light-front angular momentum in systems classified as P-wave in quantum mechanical models. Values for the scale-dependent decay constants of ground-state scalar and vector systems are a by-product of this analysis, and they turn out to be roughly equal, viz. ≃ 0.2 GeV at an hadronic scale. In addition, it is confirmed that the dilation characterising ground-state PDAs is manifest in the PDAs of radial excitations too. The impact of SU(3)-flavour symmetry breaking is also considered. When compared with pseudoscalar states, it is a little stronger in scalar systems, but the size is nevertheless determined by the flavour-dependence of dynamical chiral symmetry breaking and the PDAs are still skewed toward the heavier valence-quark in asymmetric systems.},
doi = {10.1103/PhysRevD.94.094014},
journal = {Physical Review D},
issn = {2470-0010},
number = 9,
volume = 94,
place = {United States},
year = {2016},
month = {11}
}

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