粒子-转子模型和推转壳模型中的能谱统计分析

用粒子–转子模型和推转壳模型研究了6个粒子分别填充在单j壳和双j壳上的混沌行为.分析了单j壳和双j壳情况下能谱的最近邻能级间距分布和谱刚度随自旋及推转频率的变化,结果表明,当组态空间大小不变时,系统在双j壳(g_7/2+d_5/2)情况下比在单j壳(i_13/2)情况下更规则,而当组态空间从单j壳(i_13/2)扩大到双j壳(i_13/2+g_9/2)时,系统的混沌程度变化不大.同时比较了将6个粒子的两体相互作用分别取为δ力和对力时的系统的混沌行为     

例说导数的工具价值

当前中学数学中导数的工具性和应用主要表现在三个方面:切线的斜率(导数的几何意义);函数的单调性;函数的极值和最大、小值. 1优化了综合性问题的解法导数为有效地解决一些传统的初等数学问题提供了一般性的方法.如求曲线的切线方程、函数的单调区间、函数的最大、小值、不等式的证明及     

关于问题情境数学性的思考

问题情境一般是指,为了一节课乃至一章内容的教学,而特别设定的某个具体(生活)问题,在问题解决的过程中创设出新的学习情境,提出和解决新问题.     

Skyrme Hartree-Fock模型对中等质量超形变超核的研究（英文）

采用Skyrme Hartree-Fock 模型和微观的核子-超子相互作用对Ar 同位素和40Ca 及相应超核的超形变态进行了研究,计算结果表明,基态的Λ 超子分离能比激发态的大。这一结果与反对称化分子动力学模型的结果一致,而与相对论平均场的结果相反。这区别主要来源于不同模型中不同的相互作用导致的核心核及相应超核密度分布的不同。The superdeformed (SD) states in medium heavy hypernuclei with core nuclei of Ar isotopes and 40Ca are studied in the frame of Skyrme Hartree-Fock (SHF)+ BCS model together with a microscopic ΛN interaction. The calculation indicates that the Λ separation energy S_Λ of ground state is larger than that of SD state. The result is consistent with the antisymmetrized molecular dynamics (AMD) calculation, but inconsistent with that of relativistic mean field (RMF). The difference comes from the different interaction and density distribution in the core nuclei and the corresponding hypernuclei.     

Level statistics for the even-even Yb isotopes

The level statistics of the even-even Yb isotopes are studied by using the energy levels calculated by the projected shell model. The spectrum of intrinsic states and band energies are also studied to discuss the generation of chaoticity. The energy dependence of the chaoticity is investigated, and a chaos to order transition is found.     

Properties of Zr hypernuclei in deformed Skyrme Hartree-Fock approach

Properties of the even-N Zr isotopes and their corresponding single-Λ and double-Λ hypernuclei are studied in the deformed Skyrme-Hartree-Fock approach. Binding energy, the two-neutron separation energies, radii are studied from beta-stable zone to the neutron drip line in this paper. The neutron drip line nuclei predicted with SLy4 and SkI4 interactions are ¹²²Zr and ¹³⁸Zr, respectively. The neutron drip line of single-Λ and double-Λ hypernuclei are ¹³⁹_ΛZr and ¹⁴²_2ΛZr with SkI4 interaction, respectively. The predicted hyperon drip line hypernuclei with ⁸⁰Zr and ¹³⁸Zr cores are ¹⁰⁰_20ΛZr and ¹⁸⁸_50ΛZr, respectively.     

原子核形状演变的又一个特征指标E0跃迁及对102—110Pd偶偶核的应用

利用相互作用玻色子模型分别在U(5)—SU(3)和U(5)—O(6)描述下研究了^102—110Pd偶偶核的电单极跃迁.研究表明,这些偶偶Pd核能够用U(5)—SU(3)更好地描述.     

Level Statistics for the Nilsson Single-Particle Levels

We perform level statistics of the Nilsson single-particle levels. The effects of the l2 and l ＆#12539; s; s terms are discussed as well as their interplay with the deformations. The results show that when the l2 term is added to the harmonic oscillator potential, chaotic motion occurs. The strength ranges of the l2 term in which chaotic motion exists are related to the deformation of the harmonic oscillator potential. The calculations of the localization length in different bases demonstrate that it is the spherical or axial symmetries that govern the chaotic motion. The degree of chaoticity increases significantly with the l ＆#12539; s; s term included.     

迷人的分群数列赏析

把一个数列{an}按照一定规律分组,得到的是原数列的分群数列或群数列.分群数列对观察、归纳能力要求很高,思维需要很强的灵动性,观察分群的形状及数字的排列规律是解题的基础.常见的数字的排列有从小到大的顺序排列,"S"形排列,杨辉三角形排列等形式.常见的分群形状有三角形形式,矩     

Properties of Zr hypernuclei in deformed Skyrme Hartree-Fock approach

Properties of the even-N Zr isotopes and their corresponding single-Λ and double-Λ hypernuclei are studied in the deformed Skyrme-Hartree-Fock approach. Binding energy, the two-neutron separation energies, radii are studied from beta-stable zone to the neutron drip line in this paper. The neutron drip line nuclei predicted with SLy4 and SkI4 interactions are 122Zr and 138Zr, respectively. The neutron drip line of single-Λ and double-Λ hypernuclei are Λ139Zr and 2Λ142 Zr with SkI4 interaction, respectively. The predicted hyperon drip line hypernuclei with 80Zr and 138Zr cores are 20Λ100Zr and 50Λ188Zr, respectively.