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Semirelativistic potential model for glueball states

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arxiv hep-ph/0412173 v1 pith:BYK72ME4 submitted 2004-12-14 hep-ph

Semirelativistic potential model for glueball states

classification hep-ph
keywords gluonpotentialcorrectionsglueballhamiltonianleadingmassesmodel
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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