arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2102.08776hep-phhep-ex
收藏

NLO上QCD的双隐$0^{++}$分子和四夸克态

Doubly hidden $0^{++}$ molecules and tetraquarks states from QCD at NLO

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

摘要:

受LHCb群发现(6.2 $\sim$ 6.9)GeV的奇异强子的启发,我们利用相对论QCD Laplace求和规则(LSR)在稳定性准则下给出了包含次领先阶因子化(NLO)微扰(PT)修正的$0^{++}$全重$(\bar{Q}Q)(Q\bar{Q})$分子和$(QQ)(\overline{QQ})$四夸克态的质量和耦合的新结果.由于算符乘积展开(OPE)对$d\leqslant 6-8$通常是收敛的,我们计算了PT QCD的最低阶(LO)和直到$\langle G^3 \rangle$的QCD谱函数。我们还强调了PT辐射校正的重要性,重夸克求和规则,以证明使用运行重夸克质量值的分析。我们将表3中的预测结果与矩比(Ratio of Moments)中的预测结果进行了比较。(6.2 $\sim$ 6.9)GeV附近的宽结构可用$\overlineη_cη_c$、$\overline{J/ψ}J/ψ$和$\overlineχ_{c1}χ_{c1}$分子或/和$\overline{S}_c S_c$、$\overline{A}_c A_c$和$\overline{V}_c V_c$四夸克最低质量基态来描述。在(6.8 $\sim$ 6.9)GeV处的窄结构(如果它是$0^{++}$态)可以是$\overlineχ_{c0}χ_{c0}$分子或/和其类似物$\overline{P}_c P_c$四夸克态。发现$\overlineχ_{c1}χ_{c1}$预测质量低于$χ_{c1}χ_{c1}$阈值,而对于美容状态,所有估计质量均高于$η_b η_b$和$Υ(1S)Υ(1S)$阈值。

英文摘要:

Motivated by the LHCb-group discovery of exotic hadrons in the range (6.2 $\sim$ 6.9) GeV, we present new results for the masses and couplings of $0^{++}$ fully heavy $(\bar{Q}Q)(Q\bar{Q})$ molecules and $(QQ)(\overline{QQ})$ tetraquaks states from relativistic QCD Laplace Sum Rule (LSR) within stability criteria where Next-to-Leading Order (NLO) Factorized (F) Perturbative (PT) corrections is included. As the Operator Product Expansion (OPE) usually converges for $d\leqslant 6-8$, we evaluated the QCD spectral functions at Lowest Order (LO) of PT QCD and up to $\langle G^3 \rangle$. We also emphasize the importance of PT radiative corrections for heavy quark sum rules in order to justify the use of the running heavy quark mass value in the analysis. We compare our predictions in Table 3 with the ones from ratio of Moments (MOM). The broad structure arround (6.2 $\sim$ 6.9) GeV can be described by the $\overlineη_cη_c$, $\overline{J/ψ}J/ψ$ and $\overlineχ_{c1}χ_{c1}$ molecules or/and $\overline{S}_c S_c$, $\overline{A}_c A_c$ and $\overline{V}_c V_c$ tetraquarks lowest mass ground states. The narrow structure at (6.8 $\sim$ 6.9) GeV if it is a $0^{++}$ state can be a $\overlineχ_{c0}χ_{c0}$ molecules or/and its analogue $\overline{P}_c P_c$ tetraquark. The $\overlineχ_{c1}χ_{c1}$ predicted mass is found to be below the $χ_{c1}χ_{c1}$ threshold while for the beauty states, all of the estimated masses are above the $η_b η_b$ and $Υ(1S)Υ(1S)$ threshold.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑