On the basis of assuming that the narrow state X(3872) is a molecule state consisting of D0andˉD*0, we apply the Mandelstam generalization of the Gell–Mann–Low method to calculate the matrix element of quark curren...On the basis of assuming that the narrow state X(3872) is a molecule state consisting of D0andˉD*0, we apply the Mandelstam generalization of the Gell–Mann–Low method to calculate the matrix element of quark current between the heavy meson states described by Bether–Salpeter wave function. In calculation of the matrix element of quark current the operator product expansion is used in order to include the nonperturbative contribution of the vacuum condensates. In this scheme we calculate the mass of X(3872). We believe that this scheme is closer to QCD than the previous work.展开更多
In this article,we take the Zc(3900) and Z(4430) as the ground state and the first radial excited state of the axial-vector tetraquark states with J^(PC) = 1^(+-),respectively,and study their masses and pole residues ...In this article,we take the Zc(3900) and Z(4430) as the ground state and the first radial excited state of the axial-vector tetraquark states with J^(PC) = 1^(+-),respectively,and study their masses and pole residues with the QCD sum rules by calculating the contributions of the vacuum condensates up to dimension-10 in a consistent way in the operator product expansion.The numerical result favors assigning the Z_c(3900) and Z(4430) as the ground state and first radial excited state of the axial-vector tetraquark states,respectively.展开更多
基金National Natural Science Foundation of China(10975033,11275048,11365002)Guangxi Province Natural Science Foundation(2013GXNSFBB053007,2011GXNSGA018140)+1 种基金Department of Guangxi Education for the Excellent Scholars of Higher Education(2011-54)Doctoral Science Foundation of Guangxi University of Science and Technology(11Z16)~~
基金Supported in part by the National Natural Science Foundation of China under Grant No. 10335012 and the National Key Basic Research Program and Cross Science of China under Grant No. 90503011
文摘On the basis of assuming that the narrow state X(3872) is a molecule state consisting of D0andˉD*0, we apply the Mandelstam generalization of the Gell–Mann–Low method to calculate the matrix element of quark current between the heavy meson states described by Bether–Salpeter wave function. In calculation of the matrix element of quark current the operator product expansion is used in order to include the nonperturbative contribution of the vacuum condensates. In this scheme we calculate the mass of X(3872). We believe that this scheme is closer to QCD than the previous work.
基金Supported by National Natural Science Foundation under Grant No.11375063Natural Science Foundation of Hebei Province under Grant No.A2014502017
文摘In this article,we take the Zc(3900) and Z(4430) as the ground state and the first radial excited state of the axial-vector tetraquark states with J^(PC) = 1^(+-),respectively,and study their masses and pole residues with the QCD sum rules by calculating the contributions of the vacuum condensates up to dimension-10 in a consistent way in the operator product expansion.The numerical result favors assigning the Z_c(3900) and Z(4430) as the ground state and first radial excited state of the axial-vector tetraquark states,respectively.
