A New Calculation of Rotational Bands in Alpha-Cluster Nuclei

One of the cluster behaviors observed in light nuclei such as20 Ne and44 Ti is the presence of an alpha particle rotating around a double magic number core. In this work, a theoretical method is used for investigation of rotational spectra of two-particle cluster states. To this end, Deng-Fan potential in addition to Hellman potential is used as the core and cluster potential. Next, given the Wildermuth condition, and proper quantum numbers describing the relative motion of the alpha particle and core, the rotational levels of20 Ne and44 Ti isotopes are calculated. Our studies show that the results are in good agreement with the available data.     

投影壳模型研究丰中子奇奇核102,104Nb的转动能谱

运用投影壳模型研究了正常形变丰中子核同位素102,104Nb的低能级能谱, 并指定了它的准粒子组态, 理论计算所得到的能谱曲线与实验给出的能谱曲线非常一致, 说明了投影壳模型对研究重核低能级谱非常有效。 The Projected Shell Model(PSM) is used to study the low energy scheme of the neutron rich normal deformed isotopes of odd odd nuclei 102, 104Nb. The quasiparticle configuration is assigned. The theoretical calculations of the energy band of 102,104Nb could well reproduce the experimental data. It is shown that PSM is a valid method for studying the low energy scheme of heavy nuclei.     

Ground-State Bands of Fm and No Isotopes in Cluster Model

We investigate the ground-state rotational bands of nuclei with Z 〉 100 using cluster model proposed by Buck et al. [Phys. Rev. Left. 94 （2005） 202501]. The core-duster decomposition of each nucleus is determined by the corresponding electric quadrupole transition strength B（E2 ： 2^＋ → 0^＋）. The theoretical spectra of fermium and nobelium isotopes are compared with available experimental data. Good agreement between model and data is obtained.     

Ground-State Bands of Fm and No Isotopes in Cluster Model

We investigate the ground-state rotational bands of nuclei with Z ≥ 100 using cluster model proposed by Buck et al. [Phys. Rev. Lett. 94 (2005) 202501]. The core-cluster decomposition of each nucleus is determined by the corresponding electric quadrupole transition strength B(E2 : 2 → 0 ). The theoretical spectra of fermium and nobelium isotopes are compared with available experimental data. Good agreement between model and data is obtained.     

169Re的转动带结构研究

利用在束γ谱学方法,通过反应¹⁴⁴Sm(²⁸Si,1p3n)¹⁶⁹Re研究了¹⁶⁹Re的激发态能级结构.实验进行了X-γ符合、γ-γ符合、DCO系数和带内B(M1)/B(E2)比率测量.基于这些测量,建立了组态为π9/2^－[514]的强耦合带和组态为π1/2^－[541]的退耦合带.通过比较¹⁶⁹Re的转动带与邻近奇质子核已知转动带的结构和B(M1)/B(E2)比率,指定了¹⁶⁹Re转动带的组态.实验观测到π9/2^－[514]和π1/2^－[541]转动带的中子AB带交叉的转动频率分别为0.23和0.27MeV.着重讨论了¹⁶⁹Re转动带的中子AB带交叉频率、转动角动量顺排和旋称劈列等,并讨论了奇ARe核转动带结构的系统性     

187Pt的转动带性质研究

利用在束γ谱学技术和¹⁷³Yb(¹⁸O, 4n)熔合蒸发反应研究了¹⁸⁷Pt的高自旋态能级结构. 建立了包括3个转动带的¹⁸⁷Pt高自旋态能级纲图. 基于¹⁸⁷Pt周围核结构的系统学和比较带内B(M1)/B(E2)比率的实验值和理论值, 建议上述3个转动带的组态 分别为11/2⁺[615], 7/2^－[503]和1/2^－[521]. 对各转动带的带交叉频率、顺排增益、旋称劈裂等进行了讨论.     

A New Expression for Nuclear Rotational Spectra

A new formula, which is derived from a deformed rotor model for describing nuclear rotational spectra, is analyzed. The ground band of most even-even rare-earth and actinide nuclei are accurately reproduced using a damped nonlinear least-square fitting procedure for determining parameters of the theory. The results show that energy spectra obtained from a deformed rotor model are more accurate than those from a three-parameter formula based on perturbation theory.     

A=160号区部分奇奇核的晕带能谱计算

将奇核轴对称转子加准粒子模型推广到奇奇核的情况,考虑了在奇奇核的基矢空间中计及模型的质子—中子相互作用项,方法用于A=160号区多个实际核的计算,所得结果均与实验值定性相符.文中还对奇奇核Signature反转的一种可能的机制进行了讨论.     

Bohr-Mottelson转动谱公式参数之间的新关系式

在利用Harris两参数公式研究Bohr-Mottelson转动谱公式参数之间的关系的基础上,改用Harris三参数公式,并由此提出了Bohr-Mottelson转动谱公式参数之间的新关系式,进而用I(I+1)四参数展开式计算了A～60,80,130,140,150,190区超形变偶偶核的基带和锕系和稀土区正常形变核基带,讨论了参数之间的关系,发现新关系式与实验较好地符合.     

偶偶核基带的量子群U_（qp）（u_2）模型的理论分析

通过对锕系和稀土偶偶核基带转动谱实验数据的拟合和Ｍａｌｌｍａｎｎ图的研究，系统地分析了量子群Ｕｑｐ（ｕ２）模型对原子核转动谱的适用性．结果表明，Ｕｑｐ（ｕ２）模型的理论值与实验值比较接近，明显优于单参数形变量子代数ＳＵｑ（２）模型．此外，还建立了Ｕｑｐ（ｕ２）的形变参量ｑ、ｐ与核软度的关系．     

奇奇核174Re的转动带

利用重离子熔合蒸发反应¹⁵⁹Tb(²⁰Ne,5n)¹⁷⁴Re,并通过激发函数、KX－γ和γ–γ符合测量,研究了¹⁷⁴Re核的高自旋态.鉴别并指定了¹⁷⁴Re核的一个基于л1/2^－[541]⊙v1/2^－[521]准粒子组态上的双退耦带.还发现了两个分别具有半退耦特征和强耦合特征的转动带,定性地讨论了它们的粒子组态.     

“全同”超形变核转动带的量子群Uqp(u2)模型的理论分析

利用量子群U_qp(u₂)模型计算了^{191-192-193-194Hg}超形变(SD)带的γ跃迁能E_γ,运动学转动惯量J⁽¹⁾和动力学转动惯量J⁽²⁾,顺排角动量之差(i=ω(J⁽¹⁾(^{191-192-193-194}Hg)-J⁽¹⁾(¹⁹²Hg))),并与实验值进行比较得到了满意的结果,此外,还利用U_qp(u₂)模型的形变参量与核软度的关系式,计算出各SD带的核软度参数σ₁与唯象分析给出的组态结构进行了比较分析.     

稀土核区三轴超形变全同带

系统地考察了稀土核区三轴超形变带的跃迁能量、角动量增量顺排和动力学转动惯量.研究表明这些三轴超形变带为全同带.     

双奇核176Ir转动带的旋称反转

利用¹⁴⁹Sm(³¹P,4nγ)反应,通过γ射线的激发函数测量、X-γ和γ-γ符合测量研究了双奇核¹⁷⁶Ir的高自旋态.首次建立了双奇核¹⁷⁶Ir由4个转动带构成的能级纲图.依据从实验数据中提取出的带内B(M1)/B(E2)值与理论计算值的比较,以及相邻双奇核的带结构特征,给出了转动带的准粒子组态.基于本实验建立起的带间跃迁和在I=18h处观测到的旋称交叉,指出¹⁷⁶Ir核基于πh_9/2⊙νi_13/2和πi_13/2⊙νi_13/2组态的两个转动带在低自旋时出现旋称反转现象.     

超形变核全同带的研究

简述了超形变原子核全同带的研究进展情况,并以Bohr-Mottelson的I(I+1)展开转动谱公式对部分典型的超形变带进行了分析.发现所谓全同带的确只是两个带的J⁽²⁾比较接近,它们的J⁽¹⁾和J₀并不相等,而且signature对偶带更接近全同.     

超形变原子核全同带的判断与角动量增量顺排量子化

给出了一个新的从能量角度判断超形变带全同带的方法,并运用这种方法分析了100多条超形变带.给出了全同带数目随判断参数的变化关系.还引进了量子化区间的概念,从统计角度分析角动量增量顺排的量子化问题,得出了全同带增量顺排随判据加严而趋向于量子化的性质,而正常形变全同带则不具有这一性质.讨论了新方法与粒子转子模型之间的关系.     

三轴超形变核态的研究

首次利用粒子-转子模型描述了¹⁶³Lu、¹⁶⁵Lu和¹⁶⁷Lu三轴超形变带.γ跃迁能量、运动学和动力学转动惯量以及¹⁶³Lu的跃迁四极矩理论值和实验值较好地符合.     

Description of the Superdeformed Bands of the Odd-Odd Nuclei in A ～ 150 Region

With the supersymmetry scheme including many-body interactions, the global property and the △I ＝ 4bifurcation in the superdeformed (SD) bands of odd-odd nuclei in A ～ 150 mass region are investigated systematically.Good results for the γ-ray energies, the dynamical moments of inertia, and energy differences △ Eγ - △ Erefγ are obtained.It shows that this approach is quite powerful in describing not only the SD bands in even-even and odd-A nuclei butalso those in odd-odd nuclei in the mass region.     

转动谱的若干理论及其对超形变带的研究

简述了若干转动谱理论及其对超形变带的应用 ,并用 Bohr- Mottelson的 I(I+1 )展开公式分析了 A=1 90区超形变带的性质和指定了它们的能级自旋 ,用 Harris的ω2 展开公式 J(1) =2α+(4/3 )βω2 +(6 /5 )γω4分析了 A=1 5 0区 Tb和 Dy同位素 2 0条超形变带的性质 ,指定了它们的能级自旋 .对于首次发现的152 Dy(1 )超形变带 ,带首自旋指定为 2 6 h,与实验结果更加符合. The recent developments of rotational spectral theories and its application to superdeformed bands were briefly reviewed. The superdeformed bands in A ≈190 region were analyzed and the spins of energy level were determined by the least square fitting experimental transition energy with the formula of Bohr Mottelson’s I(I+1) expansions. The superdeformed bands in A ≈150 region were analyzed by using the kinematic moments of inertia formula J (1) =2α+(4/3)βω 2+(6/5)γω 4 in...     

A≈150区超形变带的特性分析和自旋指定

首先概述了对A≈150区超形变带的自旋指定的进展情况, 到目前为止, 所提出的各种方法对该区超形变带自旋值的指定并不一致. 发现了该区超形变带的实验能谱特性和动力学转动惯量的特性. 并将此特性用于指定A≈150区超形变带的自旋.