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Semirelativistic potential model for low-lying three-gluon glueballs

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.
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http://hal.in2p3.fr/in2p3-00089606
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Submitted on : Monday, August 21, 2006 - 12:16:19 PM
Last modification on : Thursday, November 19, 2020 - 12:58:56 PM

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

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