论文标题
来自NLO的QCD的双重隐型标量重分子和四夸克态
Doubly-hidden scalar heavy molecules and tetraquarks states from QCD at NLO
论文作者
论文摘要
在最近在GEV（6.2-6.9）GEV范围内发现异国情调的HADRON的警报，我们为双重star量的沉重量表（\ bar qq）（q \ bar q）（q \ bar q）$ chm the us and Beauty Molecules使用反向laplace Transform sul（Q \ bar q）$ heam and Beauty Molecules在稳定性标准中（包括下一步的阶段）（n newerce criterative）（n efters）（n newerce and）（n newerce and）（n newerce and n efter-efter）（n） g^3 \ rangle $ gluon冷凝物校正。我们还进行了严格的重新访问并改善了现有的最低顺序（LO）QCD光谱总和规则（QSSR）的估计值（{\ bar q \ bar q}）（qq）$ tetraquarks eallogus eate。在抗量表 - 量表分子的示例中，我们明确地将分解和非成分的贡献对扰动QCD和$ \langleα_sg^2 \ rangle $ gluon $ gluon凝结供应对（MIS MIS）使用（MIS）的规则conforts four four-fortif tour-currents cortrents currents cortrents for Four-currents的贡献。我们还重新强调了包括重夸克总规则的PT辐射校正的重要性，以证明文献中经常在LO中经常使用的重夸克质量的（临时）定义和价值是合理的。表II中总结的四夸克质量的LSR结果与NLO矩（MOM）的比率以及LO在LO的LSR和LO的比率的结果进行了比较（表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和载体矢量最低的质量基态。 （6.8--6.9）GEV处的峰可能是由于$ \ overlineC_ {c0}χ_{C0} $分子或/和/和伪caseudoscalar-pseudoscalar tetraquark State。对于标量美容状态的质量，他们的质量在$ \overlineη_bη_b$和$ \ overline节（1S）υ（1S）$ thresholds上进行了类似的分析。
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.
