Pseudoscalar glueball, (eta)'-meson and its excitation in the chiral effective Lagrangian

摘要

A generalization of the chiral effective Lagrangian of order p(sup 2) is obtained which describes interaction between singlet pseudoscalar states and octet of the lightest pseudoscalar states (pi), K, (eta). The singlet states were lowest quarkic state, its excitation, and the lowest gluonic state. The QCD renormalization group for the composite operators generating the singlet states, and some other QCD-inspired conditions have been taken into consideration. The way is found, which allows one to separate unambiguously the contributions of the lowest gluonic state and the single excited state. Besides, an additional condition is found which restricts the singlet-state contributions. The mixing picture of the singlet states is considered. The problem of the radiative decays of the singlet mesons is discussed. (author). 13 refs, 1 tab. (Atomindex citation 27:052483)