The Off Shell $\rho$-$\omega$ Mixing in the QCD Sum Rules

Abstract

The $q^2$ dependence of the $\rho -\omega$ mixing amplitude is analyzed with the use of the QCD sum rules and the dispersion relation. Going off shell the mixing decreases, changes sign at $q^2\simeq 0.4m_{\rho }^2>0$ and is negative in the space like region. Implications of this result to the isospin breaking part of the nuclear force are discussed.

Comments: 26 pages + 11 figures (PostScript)