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arXiv 2008.01569hep-phhep-exhep-lat
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来自QCD次领头阶的双重隐藏标量重分子与四夸克态

Doubly-hidden scalar heavy molecules and tetraquarks states from QCD at NLO

R. M. Albuquerque, S. Narison, A. Rabemananjara, D. Rabetiarivony, G. Randriamanatrika

AI总结:

本文利用逆拉普拉斯变换求和规则在NLO精度下研究双重隐藏标量重分子和四夸克态,改进LO估计并回应方法批评,成功解释LHCb在(6.2–6.9) GeV观测到的结构。

摘要:

受近期LHCb在(6.2–6.9) GeV范围内发现奇特强子的警示,我们利用逆拉普拉斯变换求和规则(LSR),在稳定性判据内并包含次领头阶(NLO)因子化微扰修正和⟨G³⟩胶子凝聚修正,给出了双重隐藏标量重(\ar QQ)(Q\ar Q)粲与美分子的新结果。我们还批判性地重新审视并改进了现有的最低阶(LO)QCD谱求和规则(QSSR)对(\ar Q\ar Q)(QQ)四夸克类似态的估计。在反标量-标量分子的例子中,我们明确分离了微扰QCD最低阶以及⟨αₛG²⟩胶子凝聚贡献中因子化与非因子化部分的贡献,以反驳对四夸克流求和规则(误)用的一些批评。我们还再次强调,为重夸克求和规则纳入微扰辐射修正的重要性,以证明文献中在最低阶经常使用的重夸克质量的(特设)定义和取值的合理性。我们在表II中总结的四夸克质量LSR结果与次领头阶矩比(MOM)结果以及最低阶LSR和矩比结果(表IV)进行了比较。LHCb在(6.2–6.7) GeV附近的宽结构可以由\ar η_cη_c、\ar J/ψ J/ψ和\ar χ_{c1}χ_{c1}分子或/及其对应的标量-标量、轴矢-轴矢和矢量-矢量最低质量基态四夸克态来描述。(6.8–6.9) GeV处的峰可能源于\ar χ_{c0}χ_{c0}分子或/和一个赝标量-赝标量四夸克态。对标量美态也进行了类似分析,发现其质量位于\ar η_bη_b和\ar Υ(1S)Υ(1S)阈值之上。

英文摘要:

Alerted by the recent LHCb discovery of exotic hadrons in the range (6.2 -- 6.9) GeV, we present new results for the doubly-hidden scalar heavy $(\bar QQ) (Q\bar Q)$ charm and beauty molecules using the inverse Laplace transform sum rule (LSR) within stability criteria and including the Next-to-Leading Order (NLO) factorized perturbative and $\langle G^3\rangle$ gluon condensate corrections. We also critically revisit and improve existing Lowest Order (LO) QCD spectral sum rules (QSSR) estimates of the $({ \bar Q \bar Q})(QQ)$ tetraquarks analogous states. In the example of the anti-scalar-scalar molecule, we separate explicitly the contributions of the factorized and non-factorized contributions to LO of perturbative QCD and to the $\langleα_sG^2\rangle$ gluon condensate contributions in order to disprove some criticisms on the (mis)uses of the sum rules for four-quark currents. We also re-emphasize the importance to include PT radiative corrections for heavy quark sum rules in order to justify the (ad hoc) definition and value of the heavy quark mass used frequently at LO in the literature. Our LSR results for tetraquark masses summarized in Table II are compared with the ones from ratio of moments (MOM) at NLO and results from LSR and ratios of MOM at LO (Table IV). The LHCb broad structure around (6.2 --6.7) GeV can be described by the $\overlineη_{c}η_{c}$, $\overline{J/ψ}{J/ψ}$ and $\overlineχ_{c1}χ_{c1}$ molecules or/and their analogue tetraquark scalar-scalar, axial-axial and vector-vector lowest mass ground states. The peak at (6.8--6.9) GeV can be likely due to a $\overlineχ_{c0}χ_{c0}$ molecule or/and a pseudoscalar-pseudoscalar tetraquark state. Similar analysis is done for the scalar beauty states whose masses are found to be above the $\overlineη_bη_b$ and $\overlineΥ(1S)Υ(1S)$ thresholds.

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