An attempt to construct pion distribution amplitude from the PCAC relation in the nonlocal chiral quark model
| dc.creator | Bzdak, A. | |
| dc.creator | Praszalowicz, M. | |
| dc.date | 2003-05-20 | |
| dc.date.accessioned | 2026-07-07T03:49:42Z | |
| dc.date.available | 2026-07-07T03:49:42Z | |
| dc.description | Using the PCAC relation, we derive a compact formula for the pion decay constant $F_π$ in the nonlocal chiral quark model. For practical calculations this formula may be used both in the Minkowski and in the Euclidean space. For the pion momentum $P_μ\to0$ it reduces to the well known expression derived earlier by other authors. Using a generalized dipole Ansatz for the momentum dependence of the constituent quark mass in the Minkowski space, we express $F_π^{2}$ in terms of a single integral over the quark momentum fraction $u$. We interpret the integrand as a pion distribution amplitude $ϕ(u)$. We discuss its properties and compare with the $π$DA's obtained in other models. | |
| dc.description | To appear in the special issue of Acta Physica Polonica to celebrate the 65th Birthday of Professor Jan Kwiecinski. 14 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0305217 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0305217 | |
| dc.identifier | Acta Phys.Polon. B34 (2003) 3401-3416 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/42509 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | An attempt to construct pion distribution amplitude from the PCAC relation in the nonlocal chiral quark model | |
| dc.type | text |