Charm annihilation effects on the hyperfine splitting in charmonium

Details Charm annihilation effects on the hyperfine splitting in charmonium Charm annihilation effects on the hyperfine splitting in charmonium

2010-12-08

arxiv.org/abs/1012.1837v2

Phys.Rev.D83:074504,2011

Physics

High Energy Physics

High Energy Physics - Lattice

19 pages, 5 figures and 4 tables

Scientific paper

10.1103/PhysRevD.83.074504

In calculations of the hyperfine splitting in charmonium, the contributions of the disconnected diagrams are considered small and are typically ignored. We aim to estimate nonperturbatively the size of the resulting correction, which may eventually be needed in high precision calculations of the charmonium spectrum. We study this problem in the quenched and unquenched QCD cases. On dynamical ensembles the disconnected charmonium propagators contain light modes which complicate the extraction of the signal at large distances. In the fully quenched case, where there are no such light modes, the interpretation of the signal is simplified. We present results from lattices with $a\approx 0.09$ fm and $a\approx 0.06$ fm.

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