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arXiv 0907.3609hep-lat
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各向异性格点量子色动力学中的标量和矢量4 Q系统

Scalar and Vector 4Q Systems in Anisotropic Lattice QCD

Mushtaq Loan, Zhi-Huan Luo, Yu Yiu Lam

备注：
9 pages, 10 figures, typos corrected
发表信息：
Eur.Phys.J.C57:579-587,2008
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摘要：

本文详细研究了淬火改进的各向异性格点量子色动力学中的某些$4q$强子。利用$ππ$和双夸克-反双夸克局域算符和涂抹算符，我们尝试在两种味QCD中分离出$I(J^{P})=0(0^{+}), 2(0^{+})$和$1(1^{+})$态的信号.在光夸克质量区的手征极限，发现最低标量$4q$态的质量为$m^{I=0}_{4q}=927(12)$ MeV，比实验观测到的$f_{0}(980)$稍低.从我们的变分分析的结果并不表明在I=1和I=2通道的四夸克共振的签名。手性外推后，发现最低$1(1^{+})$态的质量为$m^{I=1}_{4q}=1358(28)$ MeV。我们分析了从四夸克态威尔逊圈中提取的静态$4q$势，并说明了在双夸克态临界分离时，$4q$态作为束缚态的行为.从我们的分析中我们得出结论：标量$4q$系统表现为一个二π散射态，在轻夸克质量区不存在空间定域的$4q$态.

英文摘要：

We present a detailed study of some $4q$ hadrons in quenched improved anisotropic lattice QCD. Using the $ππ$ and diquark-antidiquark local and smeared operators, we attempt to isolate the signal for $I(J^{P})=0(0^{+}), 2(0^{+})$ and $1(1^{+})$ states in two flavour QCD. In the chiral limit of light-quark mass region, the lowest scalar $4q$ state is found to have a mass, $m^{I=0}_{4q}=927(12)$ MeV, which is slightly lower than the experimentally observed $f_{0}(980)$. The results from our variational analysis do not indicate a signature of a tetraquark resonance in I=1 and I=2 channels. After the chiral extrapolation the lowest $1(1^{+})$ state is found to have a mass, $m^{I=1}_{4q}=1358(28)$ MeV. We analysed the static $4q$ potential extracted form a tetraquark Wilson loop and illustrated the behaviour of the $4q$ state as a bound state, unbinding at some critical diquark separation. From our analysis we conclude that scalar $4q$ system appears as a two-pion scattering state and that there is no spatially-localised $4q$ state in the light-quark mass region.

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