Excited Pseudoscalar and Vector Mesons
in the U(3) U(3) Chiral Model*

M. K. Volkov

Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980 Russia

Received January 8, 1997

Abstract—A chiral U(3) U(3) Lagrangian that involves not only conventional meson fields but also their first
radial excitations is constructed. The Lagrangian is derived by means of bosonization of the Nambu–Jona-Las-
inio quark model with separable nonlocal interactions, with form factors corresponding to three-dimensional
ground- and excited-state wave functions. The spontaneous breakdown of chiral symmetry is governed by the
Nambu–Jona-Lasinio gap equation. The first radial excitations of pions, kaons, and vector-meson nonet are
described with the aid of five different form factors. Each form factor involves only one arbitrary parameter.
The masses of these meson states and the weak-decay constants F_', F, and F_K' are calculated.

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