1^(-+)Hybrid Meson and QCD Sum Rules

• Main Authors: Cheng-Kuo Huang, 黃承國
• Other Authors: Kwei-Chou Yang
• Format: Others
• Language: en_US
• Published: 2005
• Online Access: http://ndltd.ncl.edu.tw/handle/54872464604234542341

碩士 === 中原大學 === 應用物理研究所 === 93 === We use the QCD sum rules approach to investigate the mass of the $J^{PC}=1^{-+}$ hybrid meson. After calculating the current-current correlator of the hybrid current $J_mu =overline{q}gamma_ u igG_{mu u}t^aq$, and using OPE expansion, we obtain the spectral function $Pi_{v,s}(q^2)$. We then get the QCD sum rules after applying the Borel transform to the spectral function. In this research, we also consider the next-to-leading order $alpha_s$-corrections in calculation. Finally, we find that the mass of the $J^{PC}=1^{-+}$ hybrid meson is $(1.35pm0.25) GeV$, and the mass of the $0^{++}$ meson may be of order $1 GeV$.