臺灣博碩士論文加值系統

在夸克模型中，唯有夸克－反夸克對才可以組成一個介子。然則若用量子色動力學來描述，介子的組成可能性將不僅如此，例如，包含一個膠子的雜介子是有可能存在的，而其量子數也跳脫出夸克模型的限制。本文運用量子色動力學求和定理，求得量子數為１－＋之雜介子基態質量的範圍為（1.35±0.25）GeV。並且求得量子數為０＋＋之介子質量範圍，應為１GeV 左右。

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 $1 GeV$.

1. Introduction................................................................1
1.1 Normal Mesons .............................................................1
1.2 Hybrid Mesons..............................................................3
1.3 The QCD sum rule methods...................................................4
1.4 About this paper...........................................................5
2. QCD sum rules...............................................................6
2.1 Two-point Green's function.................................................6
2.2 Operator product expansion.................................................8
2.3 Borel transform...........................................................17
2.4 QCD sum rules for 1^(-+) and 0^(++) mesons................................18
3 Results.....................................................................20
3.1 Imput parameters..........................................................20
3.2 Results...................................................................21
4 Conclusion..................................................................29
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