[en] The reduction formulas for the totally symmetric representation [k] and totally antisymmetric representation [1^k] of SU(2j+1) to SO(3) group are directly given by means of the decomposition of group characters. The general method is used to calculate the angular momentum J and its occupation number n_J contained in totally symmetric configuration j^k and totally antisymmetric configuration j^k

[en] In this paper, the general formula for the matrix element of 2^J-pole pairing force is derived in terms of the pair-aligned model in a single j configuration. With the aid of the norm of the intrinsic state and the matrix element of the interaction H, the wave function of the pair-aligned intrinsic state is determined by variational method. Hence the weight amplitudes α_J of nucleon-pair with J=0, 2, 4, ...2j-1 is given in this state, and the quadrupole moment is calculated in this state. Finally, the effect of quadrupole pairing force on α_J is studied

[en] The C-G series of SU(4) group is studied by means of Littlewood Rules. A general formula which can be used to calculate irreducible representations and their occupation number in the C-G series of SU(4) group is obtained. The results obtained are genralized to give a general method which can be used to determine the C-G series of U(4) and O(6) groups

[en] The effects of nano-TiO₂ and normal size TiO₂ additions on the microstructure and magnetic properties of manganese–zinc (Mn–Zn) power ferrites were investigated, respectively. It is found that the magnetic properties of Mn–Zn power ferrites can be improved with a suitable amount of nano-TiO₂ or normal size TiO₂ addition. At 100 °C, compared to the reference sample without nano-TiO₂ addition, the sample with 0.05 wt% nano-TiO₂ addition shows a more uniform grain structure and a decrease of 9.63% in power loss (P_L) to 394 kW/m³. In this case, the initial permeability of sample declines by 0.3%, compared to that of the sample with 0.03 wt% nano-TiO₂ addition. Besides that, at 100 °C, when the normal size TiO₂ concentration increases gradually to 0.07 wt%, the P_L of sintered samples decreases monotonously to 315 kW/m³. In the temperature range of 90–120 °C, the P_L of the sample with 0.07 wt% normal size TiO₂ addition are lower than 330 kW/m³. It is indicated that the optimal content of normal size TiO₂ is higher than 0.07 wt%. The thermal stability of sintered sample can be considerably improved with a suitable amount of nano-TiO₂ or normal size TiO₂ addition. - Highlights: • The magnetic properties of Mn–Zn ferrites doped with nano-TiO₂ were investigated. • With the content of nano-TiO₂ increasing, the magnetic properties increase. • The power loss (P_L) of the sample doped with 0.07 wt% normal-size TiO₂ is 315 kW/m³. • And the P_L of the sample is lower than 330 kW/m³ at the range of 90–120 °C

[en] The recent progress in the experiments and theoretical descriptions of the nuclear shadowing effect is presented

[en] The nonperturbative corrections to the one-gluon-exchange potential is studied. The results show that it is essential to adopt covariant gauges for the QCD vacuum gluon fields in order to obtain a gauge-invariant nonperturbative corrections. The new forms of the nonperturbative corrections to the one-gluon-exchange potential are presented

[en] The spatial overlap of partons from neighboring nucleons in the nucleus is employed to explain the nuclear shadowing effect. Based on the considerations of the nuclear momentum conservation. Fermi motion correction and binding energy effect, a unified description of the EMC effect and the nuclear shadowing and antishadowing effects is given in terms of the nuclear shadowing factor and the extended x-rescaling mechanism. The calculated result is in good agreement with the experimental data of the EMC effect in the whole x-region

[en] The spatial overlapping behavior of sea quarks of neighboring nucleons in nuclei in the small x region is analysed and a relation between the nuclear shadowing factor and the spatial overlapping factor is given. By using this nuclear shadowing factor R(x, Q², A), the ratios of the average nuclear structure functions of nuclei ¹²C, ⁶³Cu and ¹¹⁶Sn, to the deuteron structure function are calculated and a better agreement between the calculated result and the experimental data is obtained

[en] The recent progress in the experiments and theoretical descriptions of the nuclear Drell-Yan Process is presented. (16 figs., 51 refs.)

[en] It is proved analytically that the parton evolution model can provide a physical basis to the double x-rescaling model. The nuclear shadowing and antishadowing effect in the small x region is described by using the modified Alteralli-Parisi equation to improve the parton evolution model. The unified description of the EMC effect, the nuclear shadowing effect, and antishadowing effect are given without introducing the nuclear shadowing factor. Finally, we explain the experimental data of the Drell-Yan process with the improved parton evolution model