Trajectory Mixing Scheme for η and η' Mesons

概要

論文の詳細を見る
A possible trajectory mixing scheme for the η and η' mesons is proposed based on the picture that the 0^- mesons from an ideal nonet in the dual planar theory and deviate from it through non-planar diagrams. First, we present a general argument for the trajectory mixing picture which is then applied to the specific problem of η and η' mixing. From this approach emerges a novel feature that we need two mixing angles and two renormalization factor, each defined on the mass shells of the η and η'. However, it is shown that the mixing angles Θ_η and Θ_η' can be expressed solely in terms of the bare (planner) trajectories on the mass shells of the η and η' and therefore can be estimated from the known masses of the 0^- mesons. With these new values of mixing angles (Θ_η≠Θ_η'), various SU(3) sum rules among cross-sections of high energy reactions involving the η and η' are analyzed and compared with recent experiments. The conventional mass mixing scheme applied to η and η' mixing with independent octet and singlet couplings is shown to be inadequate for describing charge exchange two-body reactions with the η and η' in the final state.
理論物理学刊行会の論文
1976-11-25