Band structure and electromagnetic transition properties of the low-lying states in the [Formula: see text]Ne nucleus were studied within the framework of interacting boson model (IBM) 3. The isospin excitation states, low-lying symmetry states, the main components of the eigen-state, isoscalar and isovector parts in the [Formula: see text] and [Formula: see text] transitions for low-lying states have been investigated. According to this study, the calculated results are in agreement with experimental data, and the nucleus [Formula: see text]Ne is in transition from [Formula: see text] to [Formula: see text].

The output characteristics of GaAs cell are keys for the laser wireless power transmission system design. The measurement platform for the output characteristics of GaAs cell is established by single-junction GaAs cell and 1064 nm fiber laser. The influence rules of laser power and temperature on the short-circuit current, open-circuit voltage, peak power, fill factor, and conversion efficiency are measured. The measurement results show that the conversion efficiency firstly increases and then decreases with an increase in laser power, and reaches a maximum of 54.5% at the laser power of 0.405 W, whereas the conversion efficiency decreases with an increase in temperature, and decreases slowly with an increase in laser power.

Ground state properties for Mg isotopes, including binding energies, one- and two-neutron separation energies, pairing energies, nuclear matter radii and quadrupole deformation parameters, are obtained from the self consistent relativistic mean field (RMF) model with the pairing correlations treated by a shell-mode-like approach (SLAP), in which the particle-number is conserved and the blocking effects are treated exactly. The experimental data, including the binding energies and the one- and two-neutron separation energies, which are sensitive to the treatment of pairing correlations and block effects, are well reproduced by the RMF+SLAP calculations.

The low-lying energy levels and electromagnetic transitions of even-even nuclei 98Zr, 100Zr, 102Zr, 104Zr are studied within the framework of the interacting boson model. The Hamiltonian matrix elements and some of their states have been respectively analyzed and determined with respect to the current nuclear experimental data. The B(E2) of electromagnetic transitions have also been calculated and the wave function structures also analyzed. The results show good agreement with the available experimental data. The present study shows that these series of nuclei are in the transition from U(5) to SU(3), namely from vibration to rotation.

The interacting boson model-3（IBM-3） has been used to study the energy levels and electromagnetic transitions for the nucleus 34 S.The main components of the wave function,isoscalar and isovector parts in the M1 and E2 transitions for low-lying states have been investigated.According to this study,the theoretical calculations are in agreement with experimental data,and the nucleus 34 S is in transition from U（5） to S U（3）.

A tentative method based on the principle of minimum energy is put forward for assigning the reasonable configuration of a triaxial nucleus in TRS.This method is proved by the TSD of 167 Lu nucleus that has been calculated previously by TRS.

The E-Gamma Over Spin （E-GOS） analysis method is applied to the study of the shape phase transition of neutron-rich even-even light nuclei with Z=20-28.Some valuable results are gained through analysing E-GOS curves of Ca,Ti,Cr,Fe and Ni nuclei.

This paper focuses on studying the symmetry of a practical wave equation on new lattices. It is a new step in that the new lattice equation is applied to reduce the discrete problem of motion of an elastic thin homogeneous bar. The equation of motion of the bar can be changed into a discrete wave equation. With the new lattice equation, the translational and scaling invariant, not only is the infinitesimal transformation given, but the symmetry and Lie algebras are also calculated. We also give a new form of invariant called the ratio invariant, which can reduce the process of the computing invariant with the characteristic equation.

Based on the property of the discrete model entirely inheriting the symmetry of the continuous system, we present a method to construct exact solutions with continuous groups of transformations in discrete nonconservative systems. The Noether’s identity of the discrete nonconservative system is obtained. The symmetric discrete Lagrangian and symmetric discrete nonconservative forces are defined for the system. Generalized quasi-extremal equations of discrete nonconservative systems are presented. Discrete conserved quantities are derived with symmetries associated with the continuous system. We have also found that the existence of the one-parameter symmetry group provides a reduction to a conserved quantity; but the existence of a two-parameter symmetry group makes it possible to obtain an exact solution for a discrete nonconservative system. Several examples are discussed to illustrate these results.

The interacting boson model-3（IBM-3） has been used to study the low-energy level structure and electromagnetic transitions of 68Ge nucleus. The main components of the wave function for some states are also analyzed respectively. The theoretical calculations are in agreement with experimental data, and the 68Ge is in transition from U（5） to SU（3）.

The two-dimensional total routhian surface (TRS) calculations were performed to probe into the triaxial superdeformed characteristics of a strongly populated band X2 in 161Lu. This band was identified as a triaxial superdeformed band by using our TRS method. We also got its formation mechanics, i.e. the neutron-shell correction energy plays a crucial role, while the rotating energy and the deformation-driving effect of high j intruder orbit i 13/2 also play an additional role.

用TRS(Total Routhian Surface)方法对174Hf的几个不同组态所对应的形变进行了计算, 结果显示, 壳修正对174Hf 3轴超形变的形成起着极其重要的影响.对实验发现的几条3轴超形变带也得出了可能的组态指定.

A two-dimensional Total Routhian Surface (TRS) calculation with the fixed hexadecapole deformation ε 4 = 0.03 was carried out for several configurations of 174Hf. Results indicate that the shell corrections have an important contribution to the formation of triaxial superdeformation in 174Hf and some possible configuration assignments are made to the 4 TSD bands experimentally found in 174Hf.

A two-dimensional Total Routhian Surface(TRS) calculation is carried out in order to ascertain if there is triaxial superdeformation in Hf-175. A five quasi-particle configuration is chosen in the calculation. Unfortunately, the TRS minimum does not show up in the total potential energy surface.

A caculation that had been done in low rotation frequency is carried out in Hf-175 in higher rotation frequency by TRS method. A second local minimun that was not found in low rotation frequency is found in the total potential energy surface. Futhermore, the mechanism of the local minimun is analysed and a comparison of energy is made between two different rotation frequencies.