Scale anomaly and the scalars

Journal Article · Sat Feb 01 04:00:00 EST 1986 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.33.801· OSTI ID:6223058

Gomm, H; Jain, P; Johnson, R; Schechter, J

We investigate the properties of a possible low-lying scalar glueball as well as the ordinary scalar-quark states using an effective chiral Lagrangian which satisfies the trace anomaly and U(1)/sub A/ anomaly of QCD. An interesting mass bound for the lightest particle in the scalar-singlet channel is discussed. Detailed arguments against the existence of a very light (less than 400 MeV) scalar glueball are presented. It is shown that the introduction of a derivative-coupling term in the usual type of linear sigma model cures the problem of excessively large widths for the ordinary (nonet) scalar mesons. In fact, chiral symmetry enables one to nicely correlate the widths of the entire scalar nonet. It is noted that the same derivative-coupling term allows a heavy (1-2 GeV) scalar glueball to have sufficiently narrow width to permit its observation as an ordinary resonance, in contrast with a recent claim. Our model can naturally explain the unusually large partial width for the etaeta' mode of the glueball candidate G(1590). A symmetrical ansatz for the anomaly terms is suggested which enables one to successfully calculate the eta' mass as the ratio of gluon condensate to pion-decay constant. In addition, the theoretically interesting limit where the glueball becomes a true dilaton is formulated in a new and illustrative way.

• Research Organization: Physics Department, Syracuse University, Syracuse, New York 13210
• DOE Contract Number: FG02-85ER40231
• OSTI ID: 6223058
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 33:3; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645205 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. = 0-- (-1987)
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BOSONS
CHIRAL SYMMETRY
COMPOSITE MODELS
DECAY
ELEMENTARY PARTICLES
FIELD THEORIES
FUNCTIONS
GLUEBALLS
HADRONS
LAGRANGIAN FUNCTION
LIE GROUPS
MASSLESS PARTICLES
MATHEMATICAL MODELS
MESONS
PARTICLE MODELS
PARTICLE PROPERTIES
PHOTONS
PIONS
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM NUMBERS
QUARK MODEL
QUARKONIUM
SCALAR MESONS
SIGMA MODEL
SPIN
SYMMETRY
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS