arXiv 2008.134632020-08hep-phhep-exhep-latnucl-th

根据NLO处的QCD拉普拉斯求和规则计算的$X_{0,1}$（2900）和$(D^-K^+)$不变质量

$X_{0,1}$(2900) and $(D^-K^+)$ invariant mass from QCD Laplace sum rules at NLO

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

备注：: 28 pages, 15 Figures, 5 Tables - Version to appear in Nuclear Physics A after some minor corrections on proofs
DOI：: 10.1016/j.nuclphysa.2020.122113

摘要：

本文利用QCD Laplace求和规则（LSR）在稳定性准则下，考虑了因子化微扰非线性光学修正以及夸克和胶子凝聚的贡献，重新讨论、改进和完善了最近由QCD谱求和规则（QSSR）对$0^{+}$和$1^-$开魅$(\bar c \bar d)(us)$四夸克态及其分子质量和衰变常数的估计.我们面对我们的结果与$D^-K^+$不变质量最近报告的LHCb从$B^+\to D^+(D^-K^+)$衰变。我们预计，在$D^-K^+$阈值附近的凸起可以源自$0^{++}(D^-K^+)$分子和/或$D^-K^+$散射。突出的$X_{0}$（2900）标量峰和凸起的$X_J(3150)$（如果$J=0$）可以从{ \it最小混合模型}出现，具有微小的混合角$θ_0\simeq (5.2\pm 1.9)^0$，标量{ \it Tetramole}（${\cal T_M}_0$）（几乎简并的假设分子和具有相同量子数的紧凑四夸克态的叠加），质量$M_{{\cal T_M}_0}$ =2743（18）MeV和质量为$M_{(DK)_1}=3678(310)$ MeV的$D^-K^+$分子的第一径向激发。以类似的方式，$X_1$（2900）和$X_J(3350)$（如果是$J=1$）可以是具有质量$M_{{\cal T_M}_1}=2656(20)$ MeV的矢量{ \it Tetramole} $({\cal T_M}_1)$和具有质量$M_{({\cal T_M}_1)_1}=4592(141)$ MeV和角度$θ_1\simeq (9.1\pm 0.6)^0$的其第一径向激发之间的混合物。一个（非）确认以前的{ \it最小混合模型}需要在3150和3350 MeV的凸点的量子数的实验识别。

英文摘要：

We revisit, improve and complete some recent estimates of the $0^{+}$ and $1^-$ open charm $(\bar c \bar d)(us)$ tetraquarks and the corresponding molecules masses and decay constants from QCD spectral sum rules (QSSR) by using QCD Laplace sum rule (LSR) within stability criteria where the factorised perturbative NLO corrections and the contributions of quark and gluon condensates up to dimension-6 in the OPE are included. We confront our results with the $D^-K^+$ invariant mass recently reported by LHCb from $B^+\to D^+(D^-K^+)$ decays. We expect that the bump near the $D^-K^+$ threshold can be originated from the $0^{++}(D^-K^+)$ molecule and/or $D^-K^+$ scattering. The prominent $X_{0}$(2900) scalar peak and the bump $X_J(3150)$ (if $J=0$) can emerge from a {\it minimal mixing model}, with a tiny mixing angle $θ_0\simeq (5.2\pm 1.9)^0$, between a scalar {\it Tetramole} (${\cal T_M}_0$) (superposition of nearly degenerated hypothetical molecules and compact tetraquarks states with the same quantum numbers) having a mass $M_{{\cal T_M}_0}$=2743(18) MeV and the first radial excitation of the $D^-K^+$ molecule with mass $M_{(DK)_1}=3678(310)$ MeV. In an analogous way, the $X_1$(2900) and the $X_J(3350)$ (if $J=1$) could be a mixture between the vector {\it Tetramole} $({\cal T_M}_1)$ with a mass $M_{{\cal T_M}_1}=2656(20)$ MeV and its first radial excitation having a mass $M_{({\cal T_M}_1)_1}=4592(141)$ MeV with an angle $θ_1\simeq (9.1\pm 0.6)^0$. A (non)-confirmation of the previous {\it minimal mixing models} requires an experimental identification of the quantum numbers of the bumps at 3150 and 3350 MeV.

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。

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