论文标题

分析可能的$ d \ bar {d} _ {s0}^*(2317)$和$ d^*\ bar {d} _ {s1}^*(2460)$分子带有qcd sum规则

Analysis of the possible $D\bar{D}_{s0}^*(2317)$ and $D^*\bar{D}_{s1}^*(2460)$ molecules with QCD sum rules

论文作者

Di, Zun-Yan, Wang, Zhi-Gang, Yu, Guo-Liang

论文摘要

In this article, we assume that there exist the pseudoscalar $D\bar{D}_{s0}^*(2317)$ and $D^*\bar{D}_{s1}^*(2460)$ molecular states $Z_{1,2}$ and construct the color singlet-singlet molecule-type interpolating currents to study their masses with the QCD总和。在计算中,我们考虑真空凝结至尺寸10的贡献,并使用公式$μ= \ sqrt {m_ {x/y/y/y/z}^{2} {2} {2} - \ lest(2 {\ mathbb {m mathbb {m}}}} _ {c} _ {c} _ {c} _ {c} \ right)数值结果,$ m_ {z_1} = 4.61 _ { - 0.08}^{+0.11} \,\ text {gev} $和$ m_ {z_2} = 4.60 _ { - 0.06} $ d \ bar {d} _ {s0}^*(2317)$和$ d^*\ bar {d} _ {s1}^*(2460)$阈值,表明$ d \ bar {d} _ {d} _ {s0} _ {s0}^(2317)$ $ d^*\ bar {d} _ {s1}^*(2460)$很难形成绑定的状态分子状态,$ z_ {1,2} $可能是共振状态。

In this article, we assume that there exist the pseudoscalar $D\bar{D}_{s0}^*(2317)$ and $D^*\bar{D}_{s1}^*(2460)$ molecular states $Z_{1,2}$ and construct the color singlet-singlet molecule-type interpolating currents to study their masses with the QCD sum rules. In calculations, we consider the contributions of the vacuum condensates up to dimension-10 and use the formula $μ=\sqrt{M_{X/Y/Z}^{2}-\left(2{\mathbb{M}}_{c}\right)^{2}}$ to determine the energy scales of the QCD spectral densities. The numerical results, $M_{Z_1}=4.61_{-0.08}^{+0.11}\,\text{GeV}$ and $M_{Z_2}=4.60_{-0.06}^{+0.07}\,\text{GeV}$, which lie above the $D\bar{D}_{s0}^*(2317)$ and $D^*\bar{D}_{s1}^*(2460)$ thresholds respectively, indicate that the $D\bar{D}_{s0}^*(2317)$ and $D^*\bar{D}_{s1}^*(2460)$ are difficult to form bound state molecular states, the $Z_{1,2}$ are probably resonance states.

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