# Semirelativistic potential model for 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. Our results are in good agreement with other approaches and lattice calculation for the odderon trajectory but differ strongly from lattice in the $J^{+-}$ sector. We propose a possible explanation for this problem.
Document type :
Journal articles

http://hal.in2p3.fr/in2p3-00279989
Contributor : Emmanuelle Vernay <>
Submitted on : Friday, May 16, 2008 - 8:59:43 AM
Last modification on : Thursday, November 19, 2020 - 12:58:49 PM

### Citation

V. Mathieu, C. Semay, B. Silvestre-Brac. Semirelativistic potential model for three-gluon glueballs. Physical Review D, American Physical Society, 2008, 77, pp.094009. ⟨10.1103/PhysRevD.77.094009⟩. ⟨in2p3-00279989⟩

Record views