The Prediction of Possible Nonstrange Dibaryon

Recently, the mixing of scalar mesons was introduced into the chiral SU（3） quark model and also dynamically applied to the baryon-baryon system. The results show that the nucleon-nucleon and hyperon-nucleon scattering data can be reasonably described for different mixing cases, one is ideal mixing and the other is θs= 19° mixing. In the present work, by taking the above parameters, the possible candidate of deltaron bound state is further predicted. We find that the contributions from σ and ε exchange to binding energy of deltaron are different, that the contribution from ε exchange is negligible, and that σ exchange is dominant. We also find that the binding energy of deltaron is very stable, around several tens of MeV, no matter what kind of mixing is adopted.     

S_fS_(f-1)约化系数的解析表式

利用线性方程方法和解析延拓得到了导出置换群Sf Sf- 1约化系数解析表达式的一种简单的代数计算方法 .着重讨论了无重复度时Sf Sf- 1约化系数解析表达式的推导方法 .作为例子 ,给出了关于置换群内积 [f- 1,1]·[f- 1,1]和 [f - 1,1]·[f - 2 ,1,1]有关的所有Sf Sf- 1约化系数的解析表达式 .     

轻核结构(Ⅰ)Li同位素核的结构性质

在大基壳模型的基础上系统地研究了Li同位素核的结构性质.0hω计算可以很好地再现6,7Li的结构,而对远离核^8,9Li的某些态必须考虑(0+2)hω激发,其计算结果才能很好地与实验符合.对滴线核,扩大模型空间或改变相互作用后的计算仍不能再现¹¹Li核的奇异性质.简单讨论了^6—8Li某些态的奇异性质.     

Mixing of scalar meson and baryon-baryon interaction

At quark level,we study the effect of ideal mixing of singlet σ 0 and octet σ 8 scalar mesons on baryon-baryon interaction in the chiral SU（3） quark model.We solve the resonating group method equation for scattering process and bound state.The results show that the binding energy of deuteron and nucleonnucleon and hyperon-nucleon scattering data can be reasonably described for ideal mixing.Taking the same parameters we used in the scattering calculation,we further investigate the possible dibaryons and find the binding energy of （ΩΩ） ST =00 and （Ξ ＊Ω） ST =0 1 2 can be reduced a lot for ideal mixing.     

描述大形变核中对力的硬核Bose-Hubbard模型

讨论了一种描述大形变偶偶核邻近轨道对力相互作用近似的硬核Ｂｏｓｅ－Ｈｕｂｂａｒｄ模型．利用代数方法得到了该模型对激发谱和相应波函数的严格解．该结果可推广到具有任意自旋和有限格点的硬核Ｂｏｓｅ－Ｈｕｂｂａｒｄ和Ｆｅｒｍｉ－Ｈｕｂ－ｂａｒｄ模型中去．     

原子核过渡区的量子相变

在相互作用玻色子模型(IBM) 基础上用O(6) 高阶项代替传统的SU(3) 四极-四极相互作用来研究原子核从振动到转动过渡区的量子相变行为。利用U(5)-SU(3) 和UQ 两种方案,在玻色子数分别为N = 8 和N = 20 不同情况下,研究了原子核的一些低激发态的能级比和电四极跃迁比。结果表明:随着玻色子数N 的增大,系统的量子相变行为得到加强;两种方案都可以用来描述从振动到转动过渡区的原子核的量子相变特征且O(6) 高阶项方案下量子相变行为更为明显。在此基础上,进一步应用这两种方案具体讨论了152Sm 核的低激发态能级和电四极跃迁性质并与实验数据进行对比分析。结果表明,用O(6) 高阶项可以更为合理地描述带内跃迁及不同带之间的带间跃迁性质。With the framework of Interacting Boson Model(IBM), transitional patterns from the spherical to the axially deformed limit of the IBM with a schematic Hamiltonian are studied by replacing the SU(3) quadrupole-quadrupole term with O(6) cubic interaction. But, we use the two schemes to investigate some energy ratios and B(E2) ratios for different bosons N = 8 and N = 20. The results show that with the increasing of the numbers of bosons, the transitional behaviors can be enhanced; the transitional behaviors are very similar in the two schemes. However, there are some distinctive differences for some quantities across the entire transitional region, such as energy levels and ratios, B(E2) values and ratios, and expectation values of the shape variables. Generally speaking, the transition is smoother and the nuclear shape is less well defined in the new scheme. Then we apply the two schemes to the critical point symmetry candidate, such as 152Sm, and find the overall fitting quality of the UQ scheme is better than that of the U(5)-SU(3) scheme, especially for the inter-band E2 transitions in 152Sm.     

描述大形变核中对力的硬核Bose-Hubbard模型

讨论了一种描述大形变偶偶核邻近轨道对力相互作用近似的硬核Bose-Hubbard模型.利用代数方法得到了该模型对激发谱和相应波函数的严格解.该结果可推广到具有任意自旋和有限格点的硬核Bose-Hubbard和Fermi-Hub-bard模型中去.     

黑克、布劳、及伯曼温采尔代数的诱导及分导系数和量子经典李代数的耦合与重新耦合系数(英文)

本文总结了计算黑克、布劳、及伯曼 温采尔代数在各种工数链下诱导及分导系数的线性方程方法(LEM)。特别强调了关于A,B,C,D型李代数及其量子情形与其中心代数之间的舒尔 魏尔 布劳双关性关系。这一关系使我们能够利用相应中心代数的诱导及分导系数计算出经典李代数及其量子情形的耦合与重新耦合系数。讨论了从该方法得到B,C,D型李代数不可约表示克罗内克积分解的应用。基于LEM还得到了处理对应于置换群CG系列问题的黑克代数张量积的方法。     

双重子态ΞΩ(0,1/2)的结构

在共振群的框架下, 研究了双重子Ξ^*Ω_(0,1/2)的结构, 研究结果表明在推广手征SU(3)夸克模型下, 它仍然是一个深束缚的双重子束缚态.