Connection between the Dipole Polarizabilities of Charged and Neutral π-Mesons

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Abstract

In light of the contribution of the states with isospin I = 0in the difference of the amplitudes of the processes γγ → π+π− and   0 being very small, the dispersion sum rules for the difference between
the dipole polarizabilities of the charged and neutral pions are analyzed as a function of the σ meson’s parameters. Using the value of the chiral theory of perturbations for (α1 − β1)π0 = −1.9, (α1 − β1)π± =9.4−8.2 is found for the σ meson parameter within the region mσ = 400−550 MeV, Γσ = 400−600 MeV, Γσ→γγ = 0−3 keV. Estimated optimum value of decay width σ → γγ yields Γσ→γγ   0.7 keV.

About the authors

L. V. Fil’kov

Физический институт им. П. Н. Лебедева Российской академии наук

Author for correspondence.
Email: filkovlv@lebedev.ru
Россия, Москва

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