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arXiv 2103.01054hep-lathep-phnucl-th
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从SU（3）-味对称QCD得到弱束缚$H$重子

Weakly bound $H$ dibaryon from SU(3)-flavor-symmetric QCD

Jeremy R. Green, Andrew D. Hanlon, Parikshit M. Junnarkar, Hartmut Wittig

备注：
8 pages, 5 figures, plus supplemental material (10 pages, 10 figures, 2 tables) and spectrum data file (HDF5 format). v2: new finer ensemble, revised analysis with more conservative uncertainties in the spectrum, more details in the supplemental material, and additional references
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摘要：

我们首次在格点量子色动力学的连续极限研究了重子-重子相互作用，发现了出乎意料的大的格点伪影。具体地说，我们确定了$H$重子在单夸克质量点的结合能.在六个晶格间距$a$值下进行计算，使用O（$a$）改进的Wilson费米子在SU（3）对称点，$m_π=m_K\approx 420$ MeV。用蒸馏技术计算了双局域两重子内插算符的关联矩阵，并应用变分法提取了能级。我们的分析采用Lüscher的有限体积量子化条件，以确定从光谱散射相移，反之亦然，高于和低于两个重子阈值。我们进行全球拟合的晶格光谱使用参数化的相移，补充描述离散化效果的条款，然后外推晶格间距为零。的相移和结合能确定从它被发现是强烈的晶格文物的影响。我们估计的结合能在连续极限的三味QCD是$B_H^{\text{SU(3)}_{\rm f}}=4.56\pm1.13_{\rm stat}\pm0.63_{\rm syst}$ MeV。

英文摘要：

We present the first study of baryon-baryon interactions in the continuum limit of lattice QCD, finding unexpectedly large lattice artifacts. Specifically, we determine the binding energy of the $H$ dibaryon at a single quark-mass point. The calculation is performed at six values of the lattice spacing $a$, using O($a$)-improved Wilson fermions at the SU(3)-symmetric point with $m_π=m_K\approx 420$ MeV. Energy levels are extracted by applying a variational method to correlation matrices of bilocal two-baryon interpolating operators computed using the distillation technique. Our analysis employs Lüscher's finite-volume quantization condition to determine the scattering phase shifts from the spectrum and vice versa, both above and below the two-baryon threshold. We perform global fits to the lattice spectra using parametrizations of the phase shift, supplemented by terms describing discretization effects, then extrapolate the lattice spacing to zero. The phase shift and the binding energy determined from it are found to be strongly affected by lattice artifacts. Our estimate of the binding energy in the continuum limit of three-flavor QCD is $B_H^{\text{SU(3)}_{\rm f}}=4.56\pm1.13_{\rm stat}\pm0.63_{\rm syst}$ MeV.

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