Pseudoscalar glueball in a chiral Lagrangian model with instanton effect

Journal Article · Fri Jan 01 04:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.014003· OSTI ID:21408952

Song, He ^[1]; Mei, Huang ^[1]; Qishu, Yan ^[2]

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1. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100039 (China)
2. Department of Physics, University of Toronto, Toronto (Canada)

We study the pseudoscalar glueball ground state in a chiral effective Lagrangian model proposed by 't Hooft, motivated by taking into account the instanton effects, which can describe not only the chiral symmetry breaking, but also the solution of U{sub A}(1). We study the parameter space allowed by constraints from vacuum conditions and unitary bounds. By considering two scenarios in the 0{sup ++} sector, we find that parameter space which can accommodate the 0{sup -+} sector is sensitive to the conditions in 0{sup ++} sector. From our analysis, it is found that three {eta} states, i.e. {eta}(1295), {eta}(1405), {eta}(1475), can be the pseudoscalar glueball ground state if we assume that the lightest 0{sup ++} glueball ground state has a mass 1710 (or 1500) MeV. While there will be no 0{sup -+} glueball candidate ground state found in experiments if we assume that the lightest 0{sup ++} glueball ground state has a mass 660 MeV. We also point out the determined instanton density (i.e. the parameter k{sub t}) is consistent with those determined from other methods, e.g. instanton liquid approximation and lattice simulations.

• OSTI ID: 21408952
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 1 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
BOSONS
CALCULATION METHODS
CHIRAL SYMMETRY
CHIRALITY
COMPUTERIZED SIMULATION
CONSTRUCTIVE FIELD THEORY
DENSITY
ELEMENTARY PARTICLES
ENERGY LEVELS
ENERGY RANGE
ETA-1295 MESONS
FIELD THEORIES
FUNCTIONS
GEV RANGE
GEV RANGE 01-10
GLUEBALLS
GROUND STATES
HADRONS
LAGRANGIAN FUNCTION
LATTICE FIELD THEORY
MASS
MESONS
MEV RANGE
MEV RANGE 100-1000
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
PSEUDOSCALAR MESONS
PSEUDOSCALARS
QUANTUM FIELD THEORY
SIMULATION
SYMMETRY
SYMMETRY BREAKING