Abstract
A new study of the A/sub 1/, B, Q/sub 1/(1280), and Q/sub 2/(1400) mesons is carried out in the presence of large SU(3) mixing between the Q mesons. The theoretical framework used is a purely algebraic one which expresses the dynamics of confined quarks through chiral SU(3) x SU(3) charge algebras, related exotic-charge commutators characterizing symmetry breaking, asymptotic SU(3) symmetry, and asymptotic level realization of SU(3) in the chiral SU(2) x SU(2) charge algebra (A+,A-)=2V0. A simple mass formula Q/sub 2/ /sup 2/-B/sup 2/=Q/sub 1/ /sup 2/-A/sup 2/ is derived which predicts the mass of A/sub 1/ around 1.1 GeV with GAMMA(A/sub 1/ ..-->.. rho..pi..) approx. = 300 MeV. The SU(3) mixing angle theta of the Q mesons is also derived in terms of the observable masses. The sum rules obtained exhibit a close interplay among the masses, theta, and asymptotic axial-vector matrix elements. There exists an ''ideal angle'' theta=30/sup 0/ for which the couplings Q/sub 2/(1400) ..-->.. rhoK and ..omega..K become forbidden as observed by experiment. theta=30/sup 0/ is also found to be compatible with the mass spectrum of the A/sub 1/, B, Q/sub 1/, and Q/sub 2/ system. The Q/sub 2/(1400), rather than the Q/sub 1/(1280), turns outmore » to be the SU(3) counterpart of A/sub 1/(1100), suggesting that an inversion in the mass ordering took place through mixing.« less
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