Higher angular momentum states of bottomonium in lattice nonrelativistic QCD
Abstract
On a cubic lattice the zero-momentum meson states have one of 20 possible ΛPC combinations where Λ labels the irreducible representation of the octahedral group. Each continuum bottomonium state with specific JPC quantum numbers is contained within one or more of the lattice ΛPC states. In this work, bottomonium quark-antiquark operators are constructed for all 20 lattice ΛPC combinations which allows many continuum high angular momentum states to be accessible as ground states of their associated lattice channels. From a dynamical simulation, realistic results are obtained for S-, P-, D-, F- and G-wave bottomonium states.
- Publication:
-
Physical Review D
- Pub Date:
- June 2012
- DOI:
- 10.1103/PhysRevD.85.114509
- arXiv:
- arXiv:1204.4675
- Bibcode:
- 2012PhRvD..85k4509L
- Keywords:
-
- 12.38.Gc;
- 14.40.Pq;
- Lattice QCD calculations;
- High Energy Physics - Lattice;
- High Energy Physics - Phenomenology
- E-Print:
- 18 pages, 4 figures, published version