The vector glueball: An algebraic approach

Milton D. Slaughter; S. Oneda

doi:10.1103/PhysRevD.35.992

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The vector glueball: An algebraic approach

Milton D. Slaughter and S. Oneda

Center for Theoretical Physics, Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742

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Phys. Rev. D 35, 992 – Published 1 February, 1987

DOI: https://doi.org/10.1103/PhysRevD.35.992

Abstract

The $J^{PC}$ ${= 1}^{- -}$ vector glueball is considered in addition to the usual ${SU}_{F}$ (4) multiplet consisting of ρ, $K^{*}$ , ω, φ, $D^{*}$ , $F^{*}$ , and J/ψ using an algebraic approach consistent with QCD. We calculate the glueball mass to be ≃1.75 GeV and its width to be ≳3 MeV. It mixes substantially with J/ψ. The vector glueball decays copiously into ρπ and $K^{*}$ K¯ when compared to its decay into KK¯. The ΔI=1 isovector radiative decays of the vector mesons are predicted. In addition Γ( $K^{* 0}$ → $K^{0}$ +γ) is predicted to be 138 keV. We neglect intermultiplet mixing.

References (5)

Peter G. O. Freund and Yoichiro Nambu, Phys. Rev. Lett. 34, 1645 (1975).
Wei-Shu Hou and A. Soni, Phys. Rev. Lett. 50, 569 (1983).
For a detailed and comprehensive review of our techniques see Sadao Oneda and Kunikiko Terasaki, Prog. Theor. Phys. Suppl. 82, 1 (1985), and references contained therein. See also S. Oneda and Seisaku Matsuda, in Fundamental Interactions in Physics, proceedings of the 1973 Coral Gables Conference (Plenum, New York, 1973), p. 175; S. Oneda, in Group Theoretical Methods in Physics, proceedings of the Austin Conference, 1978 (Lecture Notes in Physics, Vol. 94) (Springer, Berlin, 1978), p. 334.
D. Carlsmith et al., Phys. Rev. Lett. 56, 18 (1986).
Omitted end note.

[c1] Peter G. O. Freund and Yoichiro Nambu, Phys. Rev. Lett. 34, 1645 (1975).

[c2] Wei-Shu Hou and A. Soni, Phys. Rev. Lett. 50, 569 (1983).

[c3] For a detailed and comprehensive review of our techniques see Sadao Oneda and Kunikiko Terasaki, Prog. Theor. Phys. Suppl. 82, 1 (1985), and references contained therein. See also S. Oneda and Seisaku Matsuda, in Fundamental Interactions in Physics, proceedings of the 1973 Coral Gables Conference (Plenum, New York, 1973), p. 175; S. Oneda, in Group Theoretical Methods in Physics, proceedings of the Austin Conference, 1978 (Lecture Notes in Physics, Vol. 94) (Springer, Berlin, 1978), p. 334.

[c4] D. Carlsmith et al., Phys. Rev. Lett. 56, 18 (1986).

[c5] Omitted end note.

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The vector glueball: An algebraic approach

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