Mk. Volkov et Vl. Yudichev, Radially excited scaler, pseudoscalar, and vector meson nonets in a chiralquark model, PHYS PART N, 31(3), 2000, pp. 282-311
A chiral Lagrangian containing, in addition to the usual meson fields, thei
r first radial excitations is constructed. The Lagrangian is derived by bos
onization of a Nambu-Jona-Lasinio (NJL) type quark model with separable non
local interactions. The nonlocality is described by form factors correspond
ing to 3-dimensional excited state wave functions. The spontaneous breaking
of chiral symmetry is governed by the standard NJL gap equations. A simple
SU(2) x SU(2) version of the model is used to demonstrate all low-energy t
heorems to hold valid in the chiral limit. A more realistic U(3) x U(3) mod
el with 't Hooft interaction is constructed to describe the mass spectrum o
f excited scalar, pseudoscalar, and vector mesons. On the basis of global c
hiral symmetry, we use the same form factors for the scalar and pseudoscala
r mesons. Having fixed the form factor parameters by masses of pseudoscalar
mesons, we predict the mass spectrum of scalar mesons. This allows us to i
nterpret experimentally observed scalar, pseudoscalar, and vector meson sla
tes as members of quark-antiquark nonets. It is shown that the a(o)(1450),
K-o* (1430),f(o)(1370),f(J)( 1710) scalar meson states are the first radial
excitations of the ground states: a(o)(980), K-o* (960), f(o)(400-1200), f
(J)(980). The weak decay constants F-pi, F-pi, F-K, F-K and the main strong
decay widths of the scalar, pseudoscalar, and vector meson nonets are calc
ulated.