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arXiv · hep-ph/0412173

Semirelativistic potential model for glueball states

F. Brau·C. Semay·B. Silvestre-Brac
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Abstract

The masses of two-gluon glueballs are studied with a semirelativistic potential model whose interaction is a scalar linear confinement supplemented by a one-gluon exchange mechanism. The gluon is massless but the leading corrections of the dominant part of the Hamiltonian are expressed in terms of a state dependent constituent gluon mass. The Hamiltonian depends only on 3 parameters: the strong coupling constant, the string tension, and a gluon size which removes all singularities in the leading corrections of the potential. Accurate numerical calculations are performed with a Lagrange mesh method. The masses predicted are in rather good agreement with lattice results and with some experimental glueball candidates.

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F. Brau, C. Semay, B. Silvestre-Brac. 2004-12-14. Semirelativistic potential model for glueball states. https://doi.org/10.1103/physrevd.70.014017

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