Pseudoscalar glueball, {eta}{sup {prime}} meson, and its excitation in the chiral effective Lagrangian

Journal Article · Sat Nov 01 04:00:00 EST 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.56.5681· OSTI ID:543897

Nekrasov, M L ^[1]

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1. Institute for High Energy Physics, 142284 Protvino (Russia)

A generalization of the chiral effective Lagrangian of order p{sup 2} is proposed which involves the {eta}{sup {prime}} meson, its excitation, and the pseudoscalar (PS) glueball. Model-independent constraints are found for the contributions to the Lagrangian of the above singlet states. These allow one to independently identify the nature of these singlet states in the framework of the approach. The mixing among the isosinglet states (including the {eta}{sup 8} state) is analyzed, and the hierarchy of the mixing angles is described which is defined by the chiral and large-N{sub c} expansions. The recent partial conservation of axial vector current results are reproduced, which are related to the problem of the renormalization-group-invariant description of the {eta}{sup {prime}} and the PS glueball, and a further analysis of this problem is performed. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 543897
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 9 Vol. 56; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BAG MODEL
CHIRAL SYMMETRY
CURRENT ALGEBRA
ETA PRIME-958 MESONS
EXCITATION
GLUEBALLS
LAGRANGIAN FIELD THEORY
LAGRANGIAN FUNCTION
MIXING
PCAC THEORY
PSEUDOSCALARS
RENORMALIZATION