Semirelativistic potential model for low-lying three-gluon glueballs - IN2P3 - Institut national de physique nucléaire et de physique des particules Access content directly
Journal Articles Physical Review D Year : 2006

Semirelativistic potential model for low-lying three-gluon glueballs

V. Mathieu
  • Function : Author
C. Semay
  • Function : Author

Abstract

The three-gluon glueball states are studied with the generalization of a semirelativistic potential model giving good results for two-gluon glueballs. The Hamiltonian depends only on 3 parameters fixed on two-gluon glueball spectra: the strong coupling constant, the string tension, and a gluon size which removes singularities in the potential. The Casimir scaling determines the structure of the confinement. Low-lying $J^{PC}$ states are computed and compared with recent lattice calculations. A good agreement is found for $1^{--}$ and $3^{--}$ states, but our model predicts a $2^{--}$ state much higher in energy than the lattice result. The $0^{-+}$ mass is also computed.

Dates and versions

in2p3-00089606 , version 1 (21-08-2006)

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Cite

V. Mathieu, C. Semay, B. Silvestre-Brac. Semirelativistic potential model for low-lying three-gluon glueballs. Physical Review D, 2006, 74, pp.054002. ⟨10.1103/PhysRevD.74.054002⟩. ⟨in2p3-00089606⟩
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