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arXiv 2201.13449hep-phhep-exhep-lat
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基于NLO拉普拉斯求和规则的改进XTZ质量与质量比

Improved XTZ masses and mass ratios from Laplace Sum Rules at NLO

R. Albuquerque, S. Narison, D. Rabetiarivony

AI总结:

本文利用NLO QCD拉普拉斯求和规则及其比值和双重比值,在稳定性判据下改进估计了Z_Q、X_Q和T_{QQqq}态的质量与耦合,确认X_c(3872)和Z_c(3900)为四分子态,并给出了多个四夸克态的精确质量预言。

摘要:

我们利用QCD拉普拉斯求和规则(LSR)、其比值R和双重比值DRSR,在稳定性判据下给出了Z_Q、X_Q和T_{QQqq}态的耦合、质量及质量比的改进估计,其中包含了NLO因子化微扰QCD修正,这对于赋予分析中所用的跑动MS重夸克质量以明确意义至关重要。我们表明,结合R和DRSR可以提供更精确的结果。首先,我们得出结论:观测到的X_c(3872)和Z_c(3900)是四分子态(准简并分子态与四夸克态的叠加,它们对流的耦合(几乎)相同),预言质量为:M_{T_{X_c}}=3876(44) MeV和M_{T_{Z_c}}=3900(42) MeV。在第二部分中,我们重点分析不同T_{QQqq'} 1^+和0^+态在3_c3_c插值流下的四夸克性质。最终结果汇总于表7。以观测到的X_c(3872)为标定的结合R和DRSR给出了精确预言,例如M_{T_{cc}^{1^+}}=3886(6) MeV。类似地,以M_{T_{cc}^{1^+}}为标定的M_{T_{cc}^{0^+}}/M_{T_{cc}^{1^+}}的DRSR给出M_{T_{cc}^{0^+}}=3883(3) MeV。SU3破缺比M_{T_{ccss}^{0^+}}/M_{T_{cc}^{0^+}}给出了改进的质量预言:M_{T_{ccss}^{0^+}}=3988(12) MeV。在第三部分中,分析被推广到粲偶素介子,我们得到四分子质量:M_{T_{Z_b}}=10579(99) MeV和M_{X_b}=10545(131) MeV。我们还观察到T^{1^+,0^+}_{bbqq'}态对强相互作用(在误差范围内)(几乎)稳定。在第四部分中,我们(批判性地)审查并修正了近期一些关于T^{1^+,0^+}_{QQqq'}质量的LSR估计。我们的LSR+DRSR结果与一些其他方法(格点和夸克模型)的结果在图25中进行了对比。

英文摘要:

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.

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