论文标题
NLO的Laplace Sum规则提高了XTZ质量和质量比
Improved XTZ masses and mass ratios from Laplace Sum Rules at NLO
论文作者
论文摘要
我们提出了对使用QCD Laplace Sum（LSR）的ZQ，X_Q和T_Q和T_ {QQQQ}状态的耦合，质量和质量比的改进的估计，其比率R和双比R和双比drsr在稳定性标准中，在nlo分解的pt qCD校正含义中，在其中含义MS上的含义很重要。我们表明，R和DRSR的组合可以提供更精确的结果。首先，我们得出的结论是，观察到的x_c（3872）和z_c（3900）是四元状态（准分子分子的叠加和与预测质量相同（几乎）与电流相同的耦合）的四夸克状态：M_ T_ {Z_C}} = 3900（42）MEV。在第二部分中，我们专注于对3_c3_c插值电流中不同T_ {QQQQ'} 1^+和0^+状态的四夸克性质的分析。最终结果总结在表7中。校准到观察到的X_C（3872）的合并R和DRSR导致了例如。 m_ {t_ {cc}^{1^+}} = 3886（6）Mev。以类似的方式，m_ {t_ {cc}^{0^+}}/m_ {t_ {t_ {cc}^{1^+}}校准为m_ {t_ {t_ {cc}^{1^+}}给出m_ {t_ {t_ {1^+_ SU3断裂率m_ {t_ {ccss}^{0^+}}/ m_ {t_ {t_ {cc}^{0^+}}导致改进的质量预测：m_ {t_ {t_ {ccss}}^{0^+}} = 3988（12）mev。在第三部分中，分析扩展到美容介子，我们在其中找到四氨质量：m_ {t_ {z_b}} = 10579（99）MEV和M_ {X_B} = 10545（131）MEV。我们还观察到T^{1^+，0^+} _ {bbqq'}状态是（几乎）稳定的（在错误之内），而不是强烈的相互作用。在第四部分中，我们（批判性地）审查并纠正了T^{1^+，0^+} _ {qqQQ'}群众的最新LSR估计。我们来自LSR+DRSR的结果面临着图25中其他一些方法（晶格和夸克模型）的结果。
We present improved estimates of the couplings, masses and mass ratios of the Z_Q,X_Q and T_{QQqq} states using QCD Laplace sum rules (LSR), their ratios R and double ratios DRSR within stability criteria, where the NLO factorized PT QCD corrections are included which is important for giving a meaning on the running MS heavy quark mass used in the analysis. We show that combined R and DRSR can provide more precise results. First, we conclude that the observed X_c(3872) and Z_c(3900) are tetramoles states (superposition of quasi-degenerated molecule and a tetraquark states having (almost) the same coupling to the currents) with the predicted masses: M_{T_{X_c}}=3876(44) MeV and M_{ T_{Z_c}}=3900(42) MeV. In the 2nd part, we focus on the analysis of the four-quark nature of different T_{QQqq'} 1^+ and 0^+ states within the 3_c3_c interpolating currents. The final results are summarized in Table 7. Combined R and DRSR calibrated to the observed X_c(3872) lead to a precise prediction of e.g. M_{T_{cc}^{1^+}}=3886(6) MeV. In a similar way, the DRSR for M_{T_{cc}^{0^+}}/M_{T_{cc}^{1^+}} calibrated to M_{T_{cc}^{1^+}} gives M_{T_{cc}^{0^+}}= 3883(3) MeV. The SU3 breaking ratios M_{T_{ccss}^{0^+}}/ M_{T_{cc}^{0^+}} lead to the improved mass predictions: M_{T_{ccss}^{0^+}}=3988(12) MeV. In the 3rd part, the analysis is extended to the beauty mesons, where we find the tetramole masses : M_{ T_{Z_b}}=10579(99) MeV and M_{X_b}=10545(131) MeV. We also observe that the T^{1^+,0^+}_{bbqq'} states are (almost) stable (within the errors) against strong interactions. In the 4th part, we (critically) review and correct some recent LSR estimates of the T^{1^+,0^+}_{QQqq'} masses. Our results from LSR+DRSR are confronted with the ones from some other approaches (lattices and quark models) in Fig. 25.
