Pseudoscalar-axial-vector mixing for the kaon and its radial excitations -art. no. 065209

We use a generalized Nambu-Jona-Lasinio (NJL) model to study pseudoscalar-a xial-vector mixing for K mesons. As in a corresponding study of the pion, w e find a series doublets in the confining held. When the short-range Nn int eraction is included, one member of each doublet moves down in energy to a significant extent and has a small mixing angle. (Those states may be said to be "kaonlike," while the other states may be called "mixed" states.) We find a mixing angle of -7.04 degrees for the kaon and a kaon-quark coupling constant g(Kqq)=8.09 With these values we find f(K)=115 MeV, which is quit e close to the experimental value of 113.0+-1.3 MeV. (In the absence of pse udoscalar-axial-vector mixing, we have g(Kqq)=5.77 and f(K)=85.7 MeV.) The experimentally observed state K(1460) is a (nodeless) mixed state in our mo del and is calculated to be at 1369 MeV. (The value of the mass for this st ate is given in the data tables as being in the vicinity of 1400 or 1460 Me V, depending upon which of two experimental determinations one considers.) We find a total of six states with mass less than 2.0 GeV and provide mixin g angles and coupling constants for these states. [S0556-2813(99)04312-5].