群论方法和核、分子物理几个前沿课题的研究

By taking into account of the many-body effect, the construction of S-,D-pair in the nuclear pair shell model (NPSM). We have studied the nuclei around A=130 in detail and a better agreement with experimental data was obtained. The NPSM was generalized to the nuclei with odd-A, the unified formalism for both odd and even nuclei was obtained. The effective of S-,D-pair cutoff in NPSM was also investigated.On algebraic solution of point groups, we got the algebraic expressions of primitive characters, irreducible representation matrices, symmetry adapted functions and Clebesh-Gordan coefficients of all dihedral groups, cubic groups. The study on stretching vibration, infrared and Raman transitions of C6H6 was just finished.On hadron physics, the transformation between physical bases and symmetry bases was generalized from ground states (orbital) to excited states, and was applied in the study of possible dibaryon candidate d'. We also generalized the quark delocalization color screening model by introduce one-pion-exchange with short range cutoff, and applied it to the study of dibaryon candidates d* and di-Ω..From 2000 through 2002, our group published one monograph and 16 papers on the project. Two graduate students (one doctor and one master) were trained.

选取角动量为0,2的合适的费米子集体对(S,D对),研究SD空间截断下的壳模型是否足以描写?偶核的集体转动和奇A核的低激发态,以期对核集体运动的微观机制有更深入的了解.寻找械闳涸诟髦殖Ｓ萌毫聪碌拇?以取代各种冗长的但仍很不完整的点群系数表格,并把庥美醇蚧叨猿菩源蠓肿?如C60)的理论描述.