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arXiv 0809.5121hep-lat
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各向异性格点量子色动力学中的最低四夸克强子

Lowest-lying Tetra-Quark Hadrons in Anisotropic Lattice QCD

Mushtaq Loan, Zhi-Huan Luo, Yu Yiu Lam

备注：
9 pages, 10 figures
发表信息：
Eur. Phys. J. C 57, 579 (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最低能级的$q^{2}\bar{q}^{2}$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，略低于实验观测到的$f_{0}(980)$.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。在手性外推后，发现最低的$1(1^{+})$状态具有质量，$m^{I=1}_{4q}=1358(28)$ MeV。我们分析了从四夸克态Wilson环中提取的静态$4q$势，并说明了$4q$态作为束缚态的行为，在某些临界双夸克态分离时是解束缚的.结果表明，标量$4q$系统表现为2 π散射态，在光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 lowest-lying $q^{2}\bar{q}^{2}$ 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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