Abstract
We compute hybrid static potentials in SU(3) lattice gauge theory. We present a method to automatically generate a large set of suitable creation operators with defined quantum numbers from elementary building blocks. We show preliminary results for several channels and discuss, which structures of the gluonic flux tube seem to be realized by the ground states in these channels.
Highlights
The existence of states containing gluonic excitations is suggested by QCD
Focus is put on finding a suitable set of creation operators, to obtain trial states with large overlaps to the corresponding hybrid static potential ground states
A hybrid static potential is a static potential of a quark antiquark pair with additional gluonic contributions to its quantum numbers
Summary
The existence of states containing gluonic excitations is suggested by QCD. These excitations contribute in a non-trivial way to the properties of bound states. For example mesonic states with gluonic excitations, called hybrid mesons, can carry quantum numbers different from those in the quark model. A better understanding of exotic matter like hybrid mesons is important to further improve our understanding of the strong interactions. In this work we discuss, how to obtain hybrid static potentials relevant for hybrid mesons with heavy quarks using lattice computations in SU(3) gauge theory. Focus is put on finding a suitable set of creation operators, to obtain trial states with large overlaps to the corresponding hybrid static potential ground states. For further existing lattice studies cf. [2,3,4,5,6,7,8,9,10,11,12,13,14,15], for a recent effective field theory description cf. [16]
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