Pseudovector components of the pion, pi(0)->gamma gamma, and F-pi(q(2))

Citation
P. Maris et Cd. Roberts, Pseudovector components of the pion, pi(0)->gamma gamma, and F-pi(q(2)), PHYS REV C, 58(6), 1998, pp. 3659-3665
Citations number
22
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW C-NUCLEAR PHYSICS
ISSN journal
05562813 → ACNP
Volume
58
Issue
6
Year of publication
1998
Pages
3659 - 3665
Database
ISI
SICI code
0556-2813(199812)58:6<3659:PCOTPP>2.0.ZU;2-Z
Abstract
As a consequence of dynamical chiral symmetry breaking the pion Bethe-Salpe ter amplitude necessarily contains terms proportional to gamma(5)gamma.P an d gamma(5)gamma.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/q(2) for large q(2), up to calculable In q(2) corre ctions. In a simple model, which correlates low- and high-energy pion obser vables, we find q(2)F(pi)(q(2))similar to 0.12-0.19 GeV2 for q(2)greater th an or similar to 10 GeV2. [S0556-2813(98)02512-6].