2013/05/31 by N. N. Achasov, A. A. Kozhevnikov
Mathematics · Physics and Astronomy · #Annihilation #Geometry #High-Energy Particle Collisions Research #Mathematics #Meson #Omega #Particle physics #Particle physics theoretical and experimental studies #Physics #Pi #Pion #Production (economics) #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-ex #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.88.093002
published as Phys. Rev. D 88, 093002 (2013) · 15 pages, 9 figures. The work is redone using different subtraction scheme for the nondiagonal polarization operators
openalex publication_date 2013/11/07 · arxiv created 2013/11/14 · arxiv updated 2013/11/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Using the field-theory-inspired expression for the pion electromagnetic form factor F_\ensuremathπ, a good description of the data in the range \ensuremath-10<s<1 GeV2 is obtained upon taking into account the pseudoscalar-pseudoscalar (PP) loops. When the vector-pseudoscalar (VP) and the axial vector--pseudoscalar (AP) loops are taken into account in addition to the PP ones, a good description of the BABAR data on the reaction e+e^\ensuremath-\ensuremath→\ensuremathπ+\ensuremathπ^\ensuremath- is obtained at energies up to 3 GeV. The inclusion of the VP and AP loops demands the treatment of the reactions e+e^\ensuremath-\ensuremath→\ensuremathω\ensuremathπ0 and e+e^\ensuremath-\ensuremath→\ensuremathπ+\ensuremathπ^\ensuremath-\ensuremathπ+\ensuremathπ^\ensuremath-. This task is performed with the SND data on \ensuremathω\ensuremathπ0 production and the BABAR data on \ensuremathπ+\ensuremathπ^\ensuremath-\ensuremathπ+\ensuremathπ^\ensuremath- production, both in e+e^\ensuremath- annihilation, by taking into account \ensuremathρ(770) and the heavier \ensuremathρ(1450), \ensuremathρ(1700), and \ensuremathρ(2100) resonances. The problems arising from including the VP and AP loops are pointed out and discussed.