Abstract
We compute chromoelectric and chromomagnetic flux densities for hybrid static potentials in SU(2) and SU(3) lattice gauge theory. In addition to the ordinary static potential with quantum numbers $\Lambda_\eta^\epsilon = \Sigma_g^+$, we present numerical results for seven hybrid static potentials corresponding to $\Lambda_\eta^{(\epsilon)} = \Sigma_u^+, \Sigma_g^-, \Sigma_u^-, \Pi_g, \Pi_u, \Delta_g, \Delta_u$, where the flux densities of five of them are studied for the first time in this work. We observe hybrid static potential flux tubes, which are significantly different from that of the ordinary static potential. They are reminiscent of vibrating strings, with localized peaks in the flux densities that can be interpreted as valence gluons.
Highlights
The majority of mesons, i.e., hadrons with integer total angular momentum, are quark-antiquark pairs
An important example is hybrid mesons, where gluons contribute to the quantum numbers JPC (J: total angular momentum; P: parity; C: charge conjugation) in a nontrivial way
We substantially extend existing work by performing computations for seven hybrid static potential sectors characterized by quantum numbers ΛðηεÞ 1⁄4 Σþu ; Σ−g ; Σ−u ; Πg; Πu; Δg; Δu
Summary
The majority of mesons, i.e., hadrons with integer total angular momentum, are quark-antiquark pairs. On the theoretical side, there are many open questions concerning hybrid mesons (see, e.g., the theoretical reviews [3,4,5,6]) They are difficult to study because in QCD total angular momentum J and parity P are not separately conserved for gluons on the one hand and for the quark-antiquark pair on the other hand. We substantially extend existing work by performing computations for seven hybrid static potential sectors characterized by quantum numbers ΛðηεÞ 1⁄4 Σþu ; Σ−g ; Σ−u ; Πg; Πu; Δg; Δu Five of these sectors are studied for the first time, where preliminary results have been presented at a recent conference [52]. V, we conclude with a short summary and an outlook
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