New limit of pion form factor at very large $Q^2$

TL;DR

This paper establishes a new limit for the pion form factor at very high momentum transfer using a wave function derived from an effective chiral field theory, showing it approaches the asymptotic behavior predicted by QCD.

Contribution

It introduces a novel limit for the pion form factor at large $Q^2$ based on a wave function from an effective chiral theory, extending previous understanding.

Findings

Pion form factor reaches asymptotic limit at high $Q^2$

Wave function derived from chiral field theory is effective

Form factor behavior aligns with QCD predictions

Abstract

A new limit of pion form factor at very large $Q^2$ is obtained by using a pion wave function determined from an effective chiral field theory of mesons. It shows that when $Q^2>>(1.8GeV)^2$ the pion form factor reaches the asymptotic limit ${\alpha_s(Q^2)\over Q^2}$.