Semirelativistic potential model for glueball states

Details Semirelativistic potential model for glueball states Semirelativistic potential model for glueball states

2004-12-14

arxiv.org/abs/hep-ph/0412173v1

Phys.Rev. D70 (2004) 014017

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 figures

Scientific paper

10.1103/PhysRevD.70.014017

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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