2016/12/08 by Sergei N. Nedelko, Vladimir E. Voronin
Mathematics · Physics and Astronomy · #Algorithm #Chiral symmetry breaking #Factorization #High-Energy Particle Collisions Research #Mathematics #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #hep-ph
paper · pdf · doi:10.1103/physrevd.95.074038
published as Phys. Rev. D 95, 074038 (2017) · 19 pages, 9 figures
arxiv created 2016/12/08 · openalex publication_date 2017/04/25 · arxiv updated 2017/05/03 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05
Transition form factors F_P\ensuremathγ*\ensuremathγ(*) of pseudoscalar mesons are studied within the framework of the domain model of confinement, chiral symmetry breaking, and hadronization. In this model the QCD vacuum is described by the statistical ensemble of domain wall networks which represents the almost everywhere homogeneous Abelian (anti-)self-dual gluon field configurations. Calculations of the form factors are performed consistently with mass spectra of mesons, their weak and strong decay constants. Influence of the nonperturbative intermediate range gluon fields on behavior of pion transition form factor at large Q2 is of particular interest. It is found that Q2F_\ensuremathπ\ensuremathγ*\ensuremathγ(Q2) approaches a constant value at asymptotically large Q2. However, due to the contribution of confining gluon fields this limit exceeds the standard factorization bound, though the form factor complies with Belle data more likely than with BABAR ones. At the same time the generally accepted factorization bound is shown to be satisfied for the case of the symmetric kinematics, Q2F_P\ensuremathγ*\ensuremathγ*(Q2). Peculiarities of description of \ensuremathη, \ensuremathη^\ensuremath', and \ensuremathηc form factors within the model are discussed in detail.