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Y ( 4260 ) on the lattice

2006; American Physical Society; Volume: 73; Issue: 9 Linguagem: Inglês

10.1103/physrevd.73.094510

1550-7998

Ting-Wai Chiu, Tung‐Han Hsieh,

Particle physics theoretical and experimental studies

We investigate the mass spectra of closed-charm mesons with ${J}^{PC}={1}^{--}$, for hybrid charmonium, molecules, and diquark-antidiquark operators, in quenched lattice QCD with exact chiral symmetry. For two lattice volumes ${24}^{3}\ifmmode\times\else\texttimes\fi{}48$ and ${20}^{3}\ifmmode\times\else\texttimes\fi{}40$, each of 100 gauge configurations generated with single-plaquette action at $\ensuremath{\beta}=6.1$, we compute point-to-point quark propagators and measure the time-correlation functions of these exotic meson operators. For the molecular operator ${(\overline{\mathbf{q}}{\ensuremath{\gamma}}_{5}{\ensuremath{\gamma}}_{i}\mathbf{c})(\overline{\mathbf{c}}{\ensuremath{\gamma}}_{5}\mathbf{q})\ensuremath{-}(\overline{\mathbf{c}}{\ensuremath{\gamma}}_{5}{\ensuremath{\gamma}}_{i}\mathbf{q})(\overline{\mathbf{q}}{\ensuremath{\gamma}}_{5}\mathbf{c})}$, it detects a resonance with mass around $4238\ifmmode\pm\else\textpm\fi{}31\text{ }\text{ }\mathrm{MeV}$, which is naturally identified with $Y(4260)$. Further, for any molecular and diquark-antidiquark operator, it detects heavier exotic charmed mesons, with $(\mathbf{c}\mathbf{s}\overline{\mathbf{c}}\overline{\mathbf{s}})$ around $4450\ifmmode\pm\else\textpm\fi{}100\text{ }\text{ }\mathrm{MeV}$, and $(\mathbf{c}\mathbf{c}\overline{\mathbf{c}}\overline{\mathbf{c}})$ around $6400\ifmmode\pm\else\textpm\fi{}50\text{ }\text{ }\mathrm{MeV}$.