格点QCD中正负宇称粲奇异和底奇异介子 $D_s$, $D_s^*$, $D_{s0}^*$, $D_{s1}$, $B_s$, $B_s^*$, $B_{s0}^*$, $B_{s1}$ 的性质：质量、衰变常数和组分性
Properties of the positive and negative parity charm-strange and bottom-strange mesons $D_s$, $D_s^*$, $D_{s0}^*$, $D_{s1}$, $B_s$, $B_s^*$, $B_{s0}^*$, $B_{s1}$ from lattice QCD: masses, decay constants, and compositeness
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中文总结 AI 辅助
该研究利用格点QCD计算了粲奇异和底奇异介子的质量、衰变常数及组分性，发现正宇称态主要为分子态。
中文摘要 AI 辅助
我们给出了最轻的标量、赝标量、矢量和轴矢量重-奇异介子性质的格点QCD计算结果。这包括所有介子的衰变常数，以及正宇称态的结合能和Weinberg组分性参数。计算中，轻夸克和奇异夸克采用畴壁费米子，粲夸克和底夸克采用各向异性clover作用量。我们使用了RBC/UKQCD生成的七套系综，其π介子质量范围从431 MeV到139 MeV，格点间距范围从0.114 fm到0.073 fm，这使我们能够进行联合的手征和连续极限外推。对于负宇称介子，我们得到 $f_{D_s}=251.4(2.1)(0.4)(2.5)\:{\ m MeV}$，$f_{D_s^*}=272.5(4.3)(1.0)(2.7)\:{\ m MeV}$，$f_{B_s}=228.4(5.8)(0.5)(2.3)\:{\ m MeV}$，$f_{B_s^*}=229.2(4.4)(0.8)(2.3)\:{\ m MeV}$，$f_{D_s^*}/f_{D_s}=1.086(14)(11)$，以及 $f_{B_s^*}/f_{B_s}=1.003(22)(10)$。在正宇称扇区，有限体积能量和衰变常数通过GEVP从关联矩阵中提取，该关联矩阵使用三种不同类型的强子插值算符构建，包括在源和汇处均带有协变导数的算符以及介子-介子散射算符。外推到物理点后，我们得到 $f_{D^*_{s0}}=136.6 (8.0)(4.0)(1.4)$ MeV，$f_{D_{s1}}=200 (33)(24)(2)$ MeV，$f_{B^*_{s0}}=207 (12)(8)(2)$ MeV，以及 $f_{B_{s1}}= 196 (16)(11)(2)$ MeV。我们关于 $f_{B^*_{s0}}$ 和 $f_{B_{s1}}$ 的结果是格点QCD首次给出的。使用Lüscher方法来确定无穷体积束缚态质量。在物理点，我们得到 $m_{D^*_{s0}}-m_D-m_K=-48 (14)(4)$ MeV，$m_{D_{s1}}-m_{D^*}-m_K=-61 (15)(2)$ MeV，$m_{B^*_{s0}}-m_B-m_K= -69 (13)(4)$ MeV，以及 $m_{B_{s1}}-m_{B^*}-m_K=-77 (10)(5)$ MeV。我们的分析表明，正宇称态与主要为分子态的解释一致。
英文摘要
We present a lattice-QCD determination of properties of the lightest scalar, pseudoscalar, vector, and axial-vector heavy-strange mesons. This includes the decay constants of all mesons, and the binding energies and Weinberg compositeness parameters of the positive-parity states. The calculations are performed with domain-wall fermions for the light and strange quarks and anisotropic clover actions for the charm and bottom quarks. We use seven ensembles generated by RBC/UKQCD with pion masses ranging from 431 MeV to 139 MeV and lattice spacings ranging from 0.114 fm to 0.073 fm, which allows us to perform combined chiral and continuum extrapolations. For the negative-parity mesons, we obtain $f_{D_s}=251.4(2.1)(0.4)(2.5)\:{\rm MeV}$, $f_{D_s^*}=272.5(4.3)(1.0)(2.7)\:{\rm MeV}$, $f_{B_s}=228.4(5.8)(0.5)(2.3)\:{\rm MeV}$, $f_{B_s^*}=229.2(4.4)(0.8)(2.3)\:{\rm MeV}$, $f_{D_s^*}/f_{D_s}=1.086(14)(11)$, and $f_{B_s^*}/f_{B_s}=1.003(22)(10)$. In the positive-parity sector, the finite-volume energies and decay constants are extracted using the GEVP from correlation matrices with three different types of hadron interpolating operators, including operators with covariant derivatives and meson-meson-scattering operators at both source and sink. After extrapolation to the physical point, we obtain $f_{D^*_{s0}}=136.6 (8.0)(4.0)(1.4)$ MeV, $f_{D_{s1}}=200 (33)(24)(2)$ MeV, $f_{B^*_{s0}}=207 (12)(8)(2)$ MeV, and $f_{B_{s1}}= 196 (16)(11)(2)$ MeV. Our results for $f_{B^*_{s0}}$ and $f_{B_{s1}}$ are the first from lattice QCD. Lüscher's method is used to find the infinite-volume bound-state masses. At the physical point, we obtain $m_{D^*_{s0}}-m_D-m_K=-48 (14)(4)$ MeV, $m_{D_{s1}}-m_{D^*}-m_K=-61 (15)(2)$ MeV, $m_{B^*_{s0}}-m_B-m_K= -69 (13)(4)$ MeV, and $m_{B_{s1}}-m_{B^*}-m_K=-77 (10)(5)$ MeV. Our analysis shows consistency with the positive-parity states being predominantly molecular.
发表机构
- Department of Physics, University of Arizona（亚利桑那大学物理系）
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