Contribution of higher meson resonances to the electromagnetic $π$-meson mass difference

Details Contribution of higher meson resonances to the electromagnetic $π$-meson mass difference Contribution of higher meson resonances to the electromagnetic $π$-meson mass difference

2001-09-04

arxiv.org/abs/hep-ph/0109026v2

Phys.Atom.Nucl.65:1862-1867,2002; Yad.Fiz.65:1913-1917,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex2e, 10 pages, submitted to Yad. Phys

Scientific paper

10.1134/1.1515849

Modifications of the DGMLY relation for calculation of electromagnetic $\pi$-meson mass difference based on the Chiral Symmetry Restoration phenomenon at high energies as well as the Operator Product Expansion of quark densities for vector ($\rho$) and axial-vector ($a_1$) meson fields difference are proposed. In the calculations higher meson resonances in vector and axial-vector channels are taken into account. It is shown that the inclusion of the first $\rho$ and $a_1$ radial excitations improves the results for electromagnetic $\pi$-meson mass difference as compared with the previous ones. Estimations on the electromagnetic $\rho$ and $a_1$-meson decay constants and the constant $L_{10}$ of effective chiral Lagrangian are obtained from the generalized Weinberg sum rules.

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