A constituent-gluon Born-Oppenheimer model is used to derive light-front wave functions and gluon PDFs for hybrid hadrons ccg and qqqg.
Glueballs, Constituent Gluons and Instantons
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abstract
We present a constituent two-gluon description of the lowest-lying glueball states in pure Yang--Mills theory, calibrated against quenched lattice results. The framework incorporates an instanton-induced dynamical gluon mass, Casimir-scaled adjoint confinement, the short-distance adjoint Coulomb interaction, and instanton-induced central and tensor forces. The scalar $0^{++}$ glueball is found to be exceptionally compact, with a radius of order the instanton size, $\rho \sim \frac 13\,\mathrm{fm}$, consistent with lattice indications. By contrast, the tensor $2^{++}$ state remains spatially extended due to the centrifugal barrier. We also discuss the role of $S$-$D$ mixing. A semiclassical analysis further supports Regge behavior for excited states, in agreement with lattice results.
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hep-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Hybrid hadrons at rest and on the light front
A constituent-gluon Born-Oppenheimer model is used to derive light-front wave functions and gluon PDFs for hybrid hadrons ccg and qqqg.