Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-12-27
Mod.Phys.Lett. A11 (1996) 1611-1626
Physics
High Energy Physics
High Energy Physics - Phenomenology
LATEX, 11 pages, 10 figures appended as uu-encoded file, revised version contains corrected references
Scientific paper
10.1142/S0217732396001612
In a recent paper [1] we have proposed a new approach for extracting the wave function of the $\pi$-meson $\varphi_{\pi}(x)$ and the masses and wave functions of its first resonances from the new QCD sum rules for non-diagonal correlators obtained in [2]. Here, we test our approach using an exactly solvable toy model as an illustrating example. We demonstrate the validity of the method and suggest a pure algebraic procedure for extracting the masses and wave functions relating to the case under investigation. We also explore the stability of the procedure under perturbations of the theoretical part of the sum rule. In application to the pion case, this results not only in the mass and wave function of the first resonance ($\pi'$), but also in the estimation of $\pi''$-mass.
Bakulev Alexander P.
Mikhailov S. V.
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