Effects of the disconnected flavor singlet corrections on the hyperfine splitting in charmonium

Details Effects of the disconnected flavor singlet corrections on the hyperfine splitting in charmonium Effects of the disconnected flavor singlet corrections on the hyperfine splitting in charmonium

2007-10-05

arxiv.org/abs/0710.1322v1

PoS LAT2007:116,2007

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 4 figures, talk presented at Lattice2007(Hadron spectroscopy)

Scientific paper

Experimentally the charmonium hyperfine splitting is $M_{J/\psi}-M_{\eta_c}=117$ MeV and current lattice results are generally below this value. The difference could be due to the effects of the disconnected flavor singlet diagrams which have not been included in these calculations. Previous attempts to determine the disconnected flavor singlet corrections have led just to rough estimates in the range of $\pm 20$ MeV. We present preliminary results for these corrections calculated on fine ($a\approx 0.09$ fm) Asqtad 2+1 flavor lattices provided by the MILC Collaboration.

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