Accuracy of the pion elastic form factor extracted from a local-duality sum rule

Author(s): Irina Balakireva, Wolfgang Lucha, Dmitri Melikhov
Abstract: We analyze the accuracy of the pion elastic form factor predicted by a local-duality (LD) version of dispersive sum rules. To probe the precision of this theoretical approach, we adopt potential models with interactions that involve both Coulomb and confining terms. In this case, the exact form factor may be obtained from the solution of the Schrodinger equation and confronted with the LD sum rule results. We use parameter values appropriate for hadron physics and observe that, independently of the details of the confining interaction, the deviation of the LD form factor from the exact form factor culminates in the region Q(2) approximate to 4-6 GeV2. For larger Q(2), the accuracy of the LD description increases rather fast with Q(2). A similar picture is expected for QCD. For the pion form factor, existing data suggest that the LD limit may be reached already at the relatively low values Q(2) = 4-10 GeV2. Thus, large deviations of the pion form factor from the behavior predicted by LD QCD sum rules for higher values of Q(2), as found by some recent analyses, appear to us quite improbable. New accurate data on the pion form factor at Q(2) = 4-10 GeV2 expected soon from JLab will have important implications for the behavior of the pion form factor in a broad Q(2) range up to asymptotically large values of Q(2).
Organisation(s): Particle Physics
External organisation(s): Anuchin Research Institute and Museum of Anthropology, Österreichische Akademie der Wissenschaften (ÖAW)
Journal: Journal of Physics G: Nuclear and Particle Physics
Volume: 39
No. of pages: 16
ISSN: 0954-3899
DOI: https://doi.org/10.1088/0954-3899/39/5/055007
Publication date: 2012
Peer reviewed: Yes
Austrian Fields of Science 2012: 103036 Theoretical physics, 103034 Particle physics
Portal url: https://ucrisportal.univie.ac.at/en/publications/cf2f6126-b847-4dde-9adb-36614c050ca6