arXiv subjects
Publications and source records attributed to Hui-fang Wu.
We apply the shell-model wave-functions of $^{76}Ge$ to calculate the nuclear matrix elements and the half-life of the $2νββ$ decay in $^{76}Ge$. Our result is comparable to the recent observed $2νββ$-decay half-life of $^{76}Ge$. Furthemore it provides the upper limit of the effective neutrino mass is about 0.4 eV from the recent experimental data of the $0νββ$-decay half-life.
For deuteron electromagnetic form factors,perturbative QCD(pQCD) predicts that $G^{+}_{00}$ becomes the dominate helicity amplitude and that $G^{+}_{+0}$ and $G^{+}_{+-}$ are suppressed by factors $Λ_{\rm QCD}/Q$ and $Λ_{\rm QCD}^2/Q^2$ at large $Q^2$,respectively. We try to discuss the higher order corrections beyond the pQCD asymptotic predictions by interpolating an analytical form to the intermediate energy region. From fitting the data,our results show that the helicity-zero to zero matrix element $G^{+}_{00}$ dominates the gross structure function $A(Q^2)$ in both of the large and intermediate energy regions; it is a good approximation for $G^{+}_{+-}$ to ignore the higher order contributions and the higher order corrections to $G^{+}_{+0}$ should be taken into account due to sizeable contributions in the intermediate energy region.
The widths of a glueball decay to two pions or kaons are analyzed in the pQCD framework. Our results show that the glueball ground state has small branching ratio for two-meson decay mode, which is around $10^{-2}$. The predicted values are consistent with the data of $ξ\toππ, KK$ if $ξ$ particle is a $2^{++}$ glueball. Applicability of pQCD to the glueball decay and comparison with $χ_{cJ}$ decay are also discussed.
The contributions of helicity-flip matrix elements to the deuteron form factors are discussed in the light-cone frame. Normalized $A(Q^2)$, $B(Q^2)$, $G_Q(Q^2)$ and $T_{20}$ are obtained in a simple QCD-inspired model. We find that $G_{+-}^+$ plays an important role in $G_Q(Q^2)$. Our numerical results are consistent with the data in the intermediate energy region.
Based on a Perturbative QCD analysis of the deuteron form factor, a model for the reduced form factor is suggested. The numerical result is consistent with the data in the intermediate energy region.