2015/06/30 by N. G. Stefanis, A. V. Pimikov · 2 citations
Mathematics · Physics and Astronomy · #Amplitude #De facto #Distribution (mathematics) #Law #Mathematical analysis #Mathematics #Meson #Particle physics #Physics #Physics of Superconductivity and Magnetism #Pion #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Statistical physics #Theoretical and Computational Physics #hep-ph
paper · pdf · doi:10.1016/j.nuclphysa.2015.11.002
published as Nuclear Physics, Section A, Volume/issue: 945C (2016) pp. 248-268 · 13 pages, 4 figures. In v2 a typo in Eq. (12) corrected. V3 contains clarifications in text; typos corrected; Table expanded; new references included and discussed; conclusions unchanged; matches version to be published in Nucl. Phys. A. V4: typos in AdS/QCD entries in Table I and in text, bottom of page 5, corrected. In v6 typo in expression for gauge link below Eq. (1) corrected
openalex publication_date 2015/11/10 · openalex created_date 2016/06/24 · arxiv created 2016/10/27 · arxiv updated 2016/10/28 · openalex updated_date 2026/08/05
Using QCD sum rules with nonlocal condensates, we show that the distribution amplitude of the longitudinally polarized ρ-meson may have a shorttailed platykurtic profile in close analogy to our recently proposed platykurtic distribution amplitude for the pion. Such a chimera distribution de facto amalgamates the broad unimodal profile of the distribution amplitude, obtained with a Dyson-Schwinger equations-based computational scheme, with the suppressed tails characterizing the bimodal distribution amplitudes derived from QCD sum rules with nonlocal condensates. We argue that pattern formation, emerging from the collective synchronization of coupled oscillators, can provide a single theoretical scaffolding to study unimodal and bimodal distribution amplitudes of light mesons without recourse to particular computational schemes and the reasons for them.