Pseudovector components of the pion,π0→γγ,andFπ(q2)

1998/04/23 by Pieter Maris, Craig D. Roberts · 9 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevc.58.3659

published as Phys.Rev.C58:3659-3665,1998 · 15 pages, 2 figures, REVTEX

arxiv created 1998/04/23 · openalex publication_date 1998/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

As a consequence of dynamical chiral symmetry breaking the pion Bethe-Salpeter amplitude necessarily contains terms proportional to \ensuremathγ₅\ensuremathγ\ensuremath⋅P and \ensuremathγ₅\ensuremathγ\ensuremath⋅k, where k is the relative and P the total momentum of the constituents. These terms are essential for the preservation of low-energy theorems, such as the Gell-Mann--Oakes-Renner relation and those describing anomalous decays of the pion, and to obtaining an electromagnetic pion form factor that falls as 1/q² for large q², up to calculable lnq² corrections. In a simple model, which correlates low- and high-energy pion observables, we find q²F_\ensuremathπ(q²)\ensuremath∼0.12--0.19GeV² for q²\ensuremath\gtrsim10GeV².

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