Lower Bound on the Pion Polarizability from QCD Sum Rules

Details Lower Bound on the Pion Polarizability from QCD Sum Rules Lower Bound on the Pion Polarizability from QCD Sum Rules

1995-11-08

arxiv.org/abs/hep-ph/9511273v1

Phys.Lett.B366:354-359,1996

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, RevTeX, 3 figures added as uu-encoded g-zipped tarred eps files, to appear in Phys. Lett B

Scientific paper

10.1016/0370-2693(95)01386-5

Making use of QCD sum rules a lower bound is found which relates the electromagnetic polarizability $\alpha_{_E}$ and mean-square radius $\langle r_\pi^2\rangle$ of charged pions through the intrinsic polarizability $\tilde\alpha_{_E}= \alpha_{_E}-\alpha\langle r_\pi^2\rangle/(3M_\pi)$. We find that if present constraints on the QCD continuum (duality) threshold are accepted, this lower bound on the intrinsic polarizability $\tilde\alpha_{_E}$ is incompatible with some previous determinations of $\alpha_{_E}$ and $\langle r_\pi^2\rangle$.

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