Eur. Phys. J. A 12, 349-352 (2001)

A note on inequalities for the masses of the lightest resonances in multicoloured QCD

M.V. Polyakov^{1, 2} and V.V. Vereshagin<sup>3

1</sup>  Petersburg Nuclear Physics Institute, Gatchina, 18835 St. Petersburg, Russia
²  Institute for Theoretical Physics II Ruhr University, 44780 Bochum, Germany
³  Institute of Physics St. Petersburg State University, 198504 St. Petersburg, Russia

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(Received: 15 July 2001 / Revised version: 22 October 2001 Communicated by A. Schäfer)

Abstract
We derive and analyse inequalities relating masses of the lightest resonances ( and ) to coupling constants of the effective chiral Lagrangian in the limit of a large number of colours.

PACS
11.15.Pg - Expansions for large numbers of components (e.g., expansions).
14.40.-n - Mesons.

© Società Italiana di Fisica, Springer-Verlag 2001