Strong U-A(1) breaking in radiative eta decays

Takizawa, M.; Nemoto, Y.; Oka, M.

doi:10.1103/PhysRevD.55.4083

Strong U-A(1) breaking in radiative eta decays

Aug, 1996

41 pages

Published in:

Phys.Rev.D 55 (1997) 4083-4097

e-Print:

hep-ph/9608403 [hep-ph]

DOI:

10.1103/PhysRevD.55.4083

Report number:

PRINT-97-034 (INS,TOKYO),
INS-1156,
TIT-HEP-342-NP

View in:

reference search28 citations

Citations per year

Abstract: (arXiv)

We study the \egg, \egm and \epg decays using an extended three-flavor Nambu-Jona-Lasinio model that includes the 't~Hooft instanton induced interaction. We find that the

\eta

-meson mass, the \egg, \egm and \epg decay widths are in good agreement with the experimental values when the

U_{A}(1)

breaking is strong and the flavor

SU(3)

singlet-octet mixing angle

\theta

is about zero. The calculated

\eta \gamma \gamma^\ast

transition form factor has somewhat weaker dependence on the squared four-momentum of the virtual photon. The effects of the

U_A(1)

anomaly on the scalar quark contents in the nucleon, the

\Sigma_{\pi N}

and

\Sigma_{KN}

terms and the baryon number one and two systems are also studied.

Note:

41 pages, LaTeX, 17 eps figures, uses epsf.sty and cite.sty

12.39.Fe
14.40.Aq
eta: radiative decay
symmetry breaking: U(1)
U(1) problem
Jona-Lasinio-Nambu model
flavor: 3
effective Lagrangian
field equations: instanton
eta: mass

References(74)

Figures(0)

A Planar Diagram Theory for Strong Interactions

Gerard 't Hooft
(
- CERN
)

- Nucl.Phys.B 72 (1974) 461,
•
DOI:
- 10.1016/0550-3213(74)90154-0

Chiral Symmetry and the U(1) Problem

G.A. Christos
(
- Australian Natl. U., Canberra
)

- Phys.Rept. 116 (1984) 251-336
•
DOI:
- 10.1016/0370-1573(84)90025-5

U(1) Without Instantons

G. Veneziano
(
- CERN
)

- Nucl.Phys.B 159 (1979) 213-224
•
DOI:
- 10.1016/0550-3213(79)90332-8

Axial vector vertex in spinor electrodynamics

Stephen L. Adler
(
- Princeton U.
)

- Phys.Rev. 177 (1969) 2426-2438,
•
DOI:
- 10.1103/PhysRev.177.2426

A PCAC puzzle: $\pi^0 \to \gamma \gamma$ in the $\sigma$ model

J.S. Bell
(
- CERN
)
,
R. Jackiw
(
- CERN
)

- Nuovo Cim.A 60 (1969) 47-61
•
DOI:
- 10.1007/BF02823296

Consequences of anomalous Ward identities

J. Wess
(
- CERN and
- Karlsruhe U.
)
,
B. Zumino
(
- CERN
)

- Phys.Lett.B 37 (1971) 95-97
•
DOI:
- 10.1016/0370-2693(71)90582-X

Global Aspects of Current Algebra

Edward Witten
(
- Princeton U.
)

- Nucl.Phys.B 223 (1983) 422-432,
- IN *SHAPERE, A. (ED.), WILCZEK, F. (ED.): GEOMETRIC PHASES IN PHYSICS* 369-379. (NUCL. PHYS. B223 (1983) 422-432) AND PREPRINT - WITTEN, E. (REC.APR.83) 18 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0550-3213(83)90063-9

Chiral Loops in pi0, eta0 ---> gamma gamma and eta eta-prime Mixing

- Phys.Rev.Lett. 55 (1985) 2766-2769,
- Phys.Rev.Lett. 61 (1988) 1527-1527 (erratum),
- Phys. Rev. Lett. 55 ( 1985) 2766-2769
•
DOI:
- 10.1103/PhysRevLett.55.2766

Chiral Loops in pi0, eta0 ---> gamma gamma and eta eta-prime Mixing

- Phys.Rev.Lett. 55 (1985) 2766-2769,
- Phys.Rev.Lett. 61 (1988) 1527-1527 (erratum),
- Phys. Rev. Lett. 55 ( 1985) 2766-2769
•
DOI:
- 10.1103/PhysRevLett.55.2766