In this note, we use local duality Finite Energy Sum Rule (FESR) to test the validity of the Laplace sum rules (LSR) results truncated at the dimension-six condensates for the estimates of the masses and couplings of the Z_c-like ground states in Ref.1 by taking the example of the D^*D molecule configuration. We confirm the existence of an eventual (D^*D)_1 radial excitation with a mass around 5700 MeV and coupling of 197(25) keV to the current which may mask the eventual Z_c(4430) radial excitation candidate (named (D^*D)_0 in Ref.1) having a relatively small coupling f_{(D^*D)_0}=46(56) keV. We add more explanations on the estimates in Ref.1 from LSR and comment the results in Ref.2.
New Dynamics (?) of $J/ψJ/ψ$ and $ΥΥ$ families from QCD Laplace sum rules at NLO
Laboratoire Univers et Particules de Montpellier, CNRS-IN2P3(蒙彼利埃宇宙与粒子实验室,法国国家科学研究中心-法国国家核物理与粒子物理研究所);Institute of High-Energy Physics (iHEPMAD), Univ. Antananarivo(马达加斯加大学高能物理研究所)
Revising the Mass of Light Hybrid Mesons: NLO QCD Sum Rules Point to $ϕ(2170)$ as a Prime Candidate
Zhejiang Institute of Modern Physics, School of Physics, Zhejiang University(浙江大学物理学院现代物理研究所);Department of Physics, College of Physics, Mechanical and Electrical Engineering, Jishou University(吉首大学物理科学与机电工程学院物理系);School of Physics, Sun Yat-Sen University(中山大学物理学院);Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences(中国科学院近代物理研究所南方核科学理论中心)
Bounds on hadronic contributions to the anomalous magnetic moment of the $τ$ lepton from QCD Sum Rules
Johannes Gutenberg-Universität Mainz(美因茨约翰内斯·古腾堡大学);Dordt University(多德大学);Thompson Rivers University(汤普森河大学);University of Saskatchewan(萨斯喀彻温大学);Indiana University(印第安纳大学)