论文标题

$ 0^+$ XTZ从QCD频谱总和规则

$0^+$ XTZ states from QCD spectral sum rules

论文作者

Albuquerque, R. M., Narison, S., Rabetiarivony, D.

论文摘要

We review our results in\,\cite{ANR22} for the masses and couplings of $T_{ccqq'}\, (J^P=0^+)$ states from (inverse) QCD Laplace sum rule (LSR), their ratios ${\cal R}$ and double ratio of sum rules (DRSR) within stability criteria and including Factorized Next-to-Leading Order (fnlo)扰动(PT)校正和最低顺序(LO)QCD缩合最多$ \ langle g^3 \ rangle $。我们表明,组合$ {\ cal r} $,而DRSR可以提供更精确的结果。校准为观察到的$ x_c(3872)$和$ t^{1^+} _ {cc}(3875)$,$ {\ cal r} $与Drsr结合在一起,导致更精确的预测,$ m_ {t^{0^+} _ {0^+} _ {cc} _ {cc}} = 3883(3)以类似的方式,校准了$ t^{0^+} _ {cc} $ $ {\ cal r} \ oplus $ drsr导致改进的质量预测: $ m_ {t^{0^+} _ {cc \ bar {s} \ bar {u}}}}} = 3927(6)〜\ rm {mev} $ and $ m_ {t^{0^+} _ {cc \ bar {s} \ bar {s}}}}} = 3993(11)〜\ rm {mev} $。我们将分析扩展到底部扇区,并将我们的结果与文献中不同的LSR预测和其他一些确定(晶格,夸克和潜在模型等)进行比较。

We review our results in\,\cite{ANR22} for the masses and couplings of $T_{ccqq'}\, (J^P=0^+)$ states from (inverse) QCD Laplace sum rule (LSR), their ratios ${\cal R}$ and double ratio of sum rules (DRSR) within stability criteria and including Factorized Next-to-Leading Order (FNLO) Perturbative (PT) corrections and Lowest Order (LO) QCD condensates up to $\langle G^3 \rangle$. We show that combining ${\cal R}$ and DRSR can provide more precise results. Calibrated to the observed $X_c(3872)$ and $T^{1^+}_{cc}(3875)$, ${\cal R}$ combined with DRSR lead to a more precise prediction of $M_{T^{0^+}_{cc}}=3883(3)~\rm{MeV}$. In a similar way, calibrated to the new prediction of $T^{0^+}_{cc}$ ${\cal R} \oplus$DRSR lead to the improved mass predictions: $M_{T^{0^+}_{cc\bar{s}\bar{u}}}=3927(6)~\rm{MeV}$ and $M_{T^{0^+}_{cc\bar{s}\bar{s}}}=3993(11)~\rm{MeV}$. We extend our analysis to the bottom sector and compare our results with the ones from different LSR predictions and some other determinations (lattice, quark and potential models,...) in the literature.

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