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Contribution of disconnected diagrams to the hyperfine splitting of charmonium

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arxiv hep-lat/0404016 v2 pith:LGYLE33S submitted 2004-04-24 hep-lat

Contribution of disconnected diagrams to the hyperfine splitting of charmonium

The QCD-TARO Collaboration: Philippe de Forcrand , Margarita Garc\'ia P\'erez , Hideo Matsufuru , Atsushi Nakamura , Irina Pushkina , Ion-Olimpiu Stamatescu , Tetsuya Takaishi , Takashi Umeda This is my paper
classification hep-lat
keywords contributionquarkdisconnectedmasscharmoniumchanneldiagramshyperfine
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We discuss the contribution of OZI-suppressed diagrams to the hyperfine splitting of charmonium in lattice QCD. We study valence quark mass regions from strange to charm quark masses. No contribution of the disconnected diagram is seen in the vector meson channel. In the pseudo-scalar channel and for valence quark masses around the strange quark, the disconnected contribution induces a considerable increase of the meson mass. This contribution quickly decreases as the quark mass increases. For charmonium the effect is very small although a decrease of the pseudoscalar mass induced by the disconnected contribution cannot be ruled out.

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