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arXiv 0806.4549hep-lathep-phnucl-th
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利用Asqtad海畴壁价夸克的轻强子谱

Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea

Andre Walker-Loud, Huey-Wen Lin, Kostas Orginos, D. G. Richards, R. G. Edwards, M. Engelhardt, G. T. Flemming, Ph. Hagler, B. Musch, M. F. Lin, Harvey B. Meyer,… 展开作者

Andre Walker-Loud, Huey-Wen Lin, Kostas Orginos, D. G. Richards, R. G. Edwards, M. Engelhardt, G. T. Flemming, Ph. Hagler, B. Musch, M. F. Lin, Harvey B. Meyer, John W. Negele, A. V. Pochinsky, Massimiliano Procura, Sergey Syritsyn, C. J. Morningstar, D. B. Renner, W. Schroers

摘要:

我们用2 + 1味Asqtad海夸克和畴壁价夸克计算了全QCD中的轻强子谱。介子和重子的质量计算的晶格空间大小$L \approx 2.5$ \texttt{fm},和一个$a \approx 0.124$ \texttt{fm}的晶格间距,介子质量作为轻的$m_π\approx 300$ \texttt{MeV},并比较了结果的MILC合作与Asqtad价夸克在相同的晶格间距。使用连续谱和混合作用重子手征微扰理论进行重子质量的二味和三味手征外推。三味和二味泛函形式都描述了我们的晶格结果,尽管次主导阶SU(3)拟合的低能常数与它们的唯象值不一致。次-次-领先阶SU(2)连续统公式提供了一个很好的数据拟合,并产生和外推的核子质量与实验一致,但收敛模式表明,即使是我们最轻的π介子质量可能在手征区的上端。令人惊讶的是,我们的核子质量基本上是线性的$m_π$在我们的整个范围内的π介子质量,我们表明这一特点是共同的所有最近的动力学计算的核子质量。这种线性的起源目前还不清楚,需要更轻的π介子质量和更好的系统误差控制来解决这种令人困惑的行为。

英文摘要:

We calculate the light hadron spectrum in full QCD using two plus one flavor Asqtad sea quarks and domain wall valence quarks. Meson and baryon masses are calculated on a lattice of spatial size $L \approx 2.5$\texttt{fm}, and a lattice spacing of $a \approx 0.124$\texttt{fm}, for pion masses as light as $m_π\approx 300$\texttt{MeV}, and compared with the results by the MILC collaboration with Asqtad valence quarks at the same lattice spacing. Two- and three-flavor chiral extrapolations of the baryon masses are performed using both continuum and mixed-action heavy baryon chiral perturbation theory. Both the three-flavor and two-flavor functional forms describe our lattice results, although the low-energy constants from the next-to-leading order SU(3) fits are inconsistent with their phenomenological values. Next-to-next-to-leading order SU(2) continuum formulae provide a good fit to the data and yield and extrapolated nucleon mass consistent with experiment, but the convergence pattern indicates that even our lightest pion mass may be at the upper end of the chiral regime. Surprisingly, our nucleon masses are essentially lineaer in $m_π$ over our full range of pion masses, and we show this feature is common to all recent dynamical calculations of the nucleon mass. The origin of this linearity is not presently understood, and lighter pion masses and increased control of systematic errors will be needed to resolve this puzzling behavior.

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