丰中子核区奇A核八极形变及A=130区一些缺中子核高自旋态研究

对近几年来清华大学物理系核物理研究组原子核高自旋态实验研究的一些新进展进行了介绍.内容包括两个部分:第一部分介绍通过国际合作,利用测量裂变瞬发γ谱方法对A=140丰中子核区的奇A核^143,145Ba,^145,147La等的极形变研究的进展.第二部分简述对A=130缺中子核区的^134,137,138Ce及¹²²Ba等核高自旋态研究,包括形状驱动、八极关联、集体回弯等效应.     

基于相对论Hartree-Fock理论的原子核壳结构性质研究

一直以来,原子核壳结构是原子核物理研究的重点关注内容。特别是随着近年来新一代放射性核束装置和探测技术的蓬勃发展,丰中子原子核中新的壳结构及其演化与形成机制等成为核物理关注的热点之一。在基于核力介子交换图像建立的相对论Hartree-Fock 理论框架下,本工作以Ca同位素、双幻核 208Pb、超重核以及极端丰中子核为例,综述丰中子原子核中新的壳结构形成机制,高角动量态赝自旋对称性恢复与介质中核力吸引-排斥平衡,赝自旋对称性恢复/破缺与原子核壳结构、新奇现象等研究工作,并着重关注了与原子核新壳结构形成、赝自旋对称性恢复以及新奇现象等密切相关的交换(Fock)项效应。     

A^80核区在束γ谱学研究进展

为深入研究原子核手征对称性自发破缺等重要的科学问题,山东大学(威海)核物理研究团队利用在束γ谱学实验技术,系统研究了A^80核区一系列原子核的能级结构,丰富了这个区域原子核的谱学信息,并对这些原子核的对称性、形状和运动模式等问题进行了探讨。研究结果表明,在A^80核区存在包括奇奇核和奇A核在内的多例候选手性原子核,能级寿命测量支持80Br的手性解释。此外,本文也讨论了随着中子数的增加,手征几何和八极关联效应的演化情况以及这个核区近球形核的中子跨壳激发现象。     

原子核结构的相对论平均场描述

简要评述近几年相对论平均场理论的发展及其在核结构研究中取得的部分进展. 主要内容包括中子晕, 质子晕, 巨晕, 激发态晕等奇特核现象, 超重核结构, 超核结构以及原子核的赝自旋对称性和反核子谱的自旋对称性等.     

山东大学(威海)开展的核物理研究

综述了山东大学威海校区原子核物理研究团队在原子核精细谱学、核天体物理、探测器研制和高能核物理等方向开展的研究工作及最新进展;尤其重点介绍了$A\sim 110$核区原子核的形状共存和带交叉延迟,“订书机”和“雨伞”模式转动带,碳氮氧循环过程中关键核反应的测量进展,中子星参数化的状态方程及双中子星并合引力波研究,带电粒子探测器的设计与制作,相对论重离子碰撞物理中量子输运理论和高阶反常输运等研究工作,并展望了下一步的工作重点。     

丰中子Zn核素奇特核结构讨论和展望

不稳定核结构是当前核物理研究的前沿热点问题之一,尤其是针对丰中子幻数核附近的区域。中子数N=40, 50附近镍区域核素展现出丰富的结构特征,激励了众多理论和实验研究。原子核的基本性质与核的结构密切相关,这里我们选择分析丰中子Zn(Z=30)同位素的基本性质来进一步了解这一核区的核结构特征。本文回顾了在欧洲核子中心(CERN)的ISOLDE测量Zn 同位素的实验,基于62–80Zn 核素基态和长寿命同核异能态的自旋、磁矩、电四极矩以及电荷均方根半径等基本性质,并结合各种大规模壳模型计算结果,系统地讨论了这一核区的壳结构演化、幻数特征、奇特形变和形状共存,以及核子间关联激发等物理现象。最后,基于已有的实验数据和物理现象,以及理论预言的 N=50以上镍核区的能级演化特征,我们提出在ISOLDE的共线共振电离谱装置上测量更加丰中子的81,82Zn 核素基本性质的实验设想。     

极端条件下原子核性质的研究

近几年来，北京大学重离子物理研究所低能核物理研究组，对极端条件下原子核性质研究取得了一些成果，其中包括原子核的高自旋态，超形变带及远高β稳定线核的性质。     

用于核物理研究的精密激光谱技术的发展和展望

原子核基本性质（自旋、质量、寿命、磁矩、电四极矩和电荷半径等）与原子核的内在结构密切相关,是检验和发展原子核理论模型的重要依据。实验上可以通过多学科交叉的精密激光谱技术测量原子核外电子的超精细结构和同位素移位,来模型独立地提取原子核的自旋、磁矩、电四极矩和电荷均方根半径等多个核物理参量。这些基本性质的系统测量可以用于探索不稳定原子核中展现出来的新奇的物理现象与规律。近年来,为了测量产额更低的丰中子核的基本性质,激光谱技术不断更新和发展,以实现高分辨、高效率测量。本文详细介绍了激光谱测量的基本原理以及由此发展起来的用于不稳定原子核结构研究的各类互补的激光谱学技术,如共线激光谱（高分辨率低灵敏度）、在源激光谱（高灵敏度低分辨率）、共线共振电离谱（高分辨率高灵敏度）等激光谱技术,以及在不同核区的测量优势和局限。最后结合我国正在发展和规划中的新一代放射性核束装置,讨论精密激光谱技术在国内的发展以及在核物理研究中的应用。     

手征带双重带候选核三轴形变的微观研究

利用三轴形变的相对论平均场(RMF)理论讨论了A～100核区手征双重带候选核的三轴形变. 检验了RMF计算结果对基展开主壳数的收敛性．基于PK1有效相互作用的形变约束计算, 给出了该核区Rh, Ag和In等同位素原子核的基态形变, 预言了A～100核区可能存在手征双重带的原子核.     

Gammasphere上裂变丰中子核核结构若干前沿领域的新进展(Ⅰ:第一和第二部分)(英文)

(第一和第二部分):使用Gammasphere多探测器系统对252Cf裂变源瞬发γ射线进行γ-γ-γ和γ-γ(θ)符合测量,裂变丰中子原子核核结构若干前沿领域的深入研究获得了新的进展。高达5.7×1011以上的三重和更高重符合事件的数据统计,以及更少压缩的三维数据为宽广未知丰中子核区的寻找和研究提供了有利的条件。在具有重要物理意义的若干丰中子核区首次建立,或显著扩展了一批包括转晕态和转晕附近能态的高自旋能级纲图。在偶-偶丰中子核110,112Ru和108Mo中鉴别出了手征对称破缺结构。丰中子110,112Ru附近核的三轴形变基态具有最低的能量,在它们之中已确认了接近最大值的三轴形变。在这些Ru和Mo同位素中观察到的手征双线能带展示出手征破缺的一切特征,特别是其理想的能量简并,表明它们在迄今已报道的手征破缺结构中,具有最好的手征特性。研究了手征结构从具有γ软度的108Ru到具有大三轴形变的110,112Ru的过渡。斜轴推转(TAC)和随机相近似(RPA)理论计算成功地拟合了在这些偶-偶丰中子核中观察到的手征双线能带的特性,并指定其为软手征振动态。在这些偶-偶核中观察到的手征破缺不可能归纳为奇-奇核中那样的简化的几何图像。前者来自闭壳外所有中子的相互作用。对双幻核132Sn附近N=83同中素链的系统研究为这个极富吸引力的核区提供了大量新的谱学信息。N=83同中素135Te(Z=52),136I(Z=53),137Xe(Z=54),138Cs(Z=55)和139Ba(Z=56)的最新能级信息,特别是首次建立的138Cs高自旋能级纲图和壳模型理论计算表明,Z=50质子闭壳外少数g7/2价质子激发同N=82中子闭壳外之唯一f7/2价中子的耦合对该核区能级结构具有关键作用。观察到了132Sn和208Pb附近核区谱学信息的相似性和相对应的三粒子和五粒子态。在135Te中观察到了磁转动,这是在双幻核132Sn附近观察到的首例磁转动。     

Symmetry Analysis and Conservation Laws for the Hunter-Saxton Equation

In this paper,the problem of determining the most general Lie point symmetries group and conservation laws of a well known nonlinear hyperbolic PDE in mathematical physics called the Hunter-Saxton equation(HSE) is analyzed.By applying the basic Lie symmetry method for the HSE,the classical Lie point symmetry operators are obtained.Also,the algebraic structure of the Lie algebra of symmetries is discussed and an optimal system of onedimensional subalgebras of the HSE symmetry algebra which creates the preliminary classification of group invariant solutions is constructed.Particularly,the Lie invariants as well as similarity reduced equations corresponding to infinitesimal symmetries are obtained.Mainly,the conservation laws of the HSE are computed via three different methods including Boyer's generalization of Noether's theorem,first homotopy method and second homotopy method.     

Microscopic insight into the quasi-particle structure of odd-mass terbium isotopes

The present work has been focussed on the application of Projected Shell Model to study the negative parity rotational band structure up to the high spin states of the neutron-rich odd mass Terbium isotopes with neutron numbers ranging from 90 to 98. The structure evolution in these nuclei has been made on the basis of various nuclear structure properties like energy spectra, transition energies, wave functions and electromagnetic transition probabilities (B(E2) and B(M1)). Besides, the occurrence of back bending has also been reported in the present work.     

General theorems on the combination of relativistic and internal symmetries

Theorems about the structure of a Lie algebra combining the Poincaré Lie algebra and an internal symmetry Lie algebra are derived by general algebraic methods. The physical meaning of certain mathematical results is clarified.     

Graded Lie Algebra Generating of Parastatistical Algebraic Relations

A new kind of graded Lie algebra (We call it Z2,2 graded Lie algebra) is introduced as a framework for formulating parasupersymmetric theories. By choosing suitable Bose subspace of the Z2,2 graded Lie algebra and using relevant generalized Jacobi identities, we generate the whole algebraic structure of parastatistics.     

Why Does the Geometric Product Simplify the Equations of Physics?

In the last decades it was observed that Clifford algebras and geometric product provide a model for different physical phenomena. We propose an explanation of this observation based on the theory of bounded symmetric domains and the algebraic structure associated with them. The invariance of physical laws is a result of symmetry of the physical world that is often expressed by the symmetry of the state space for the system implying that this state space is a symmetric domain. For example, the ball of all possible velocities is a bounded symmetric domain. The symmetry on this ball follow from the symmetry of the space-time transformations between two inertial systems, which fixes the so-called symmetric velocity between them. The Lorenz transformations acts on the ball Sof symmetric velocities by conformal transformations. The ball Sis a spin ball (type IV in Cartan's classification). The Lie algebra of this ball is defined a triple product that is closely related to geometric product. The relativistic dynamic equations in mechanics and for the Lorenz force is described by this Lie algebra and the triple product.     

丰中子A~100质量区内的扁椭球高K同核异能态

远离核素图上“稳定谷”的丰中子核一直是核物理学研究的热点。作为形变丰中子核的一种特殊的亚稳定激发态,高K同核异能态的形状大多数为长椭球,扁椭球的高K同核异能态非常少见。近期的一项实验认为丰中子核94Se上的$ {K}^{\mathrm{\pi }}={7}^{-} $两准粒子态为扁椭球。这是形变原子核上存在扁椭球高K同核异能态的第一个实验证据。结合相关实验,我们猜测可能有其它尚未发现的扁椭球高K同核异能态存在于丰中子A~100质量区。利用组态限制势能面计算方法,本文对丰中子A~100质量区内的$ {K}^{\mathrm{\pi }}={9}^{-} $和$ {K}^{\mathrm{\pi }}={7}^{-} $两准粒子态进行了研究,并预言了此质量区内扁椭球高K同核异能态的可能位置。根据Nilsson模型,扁椭球高K同核异能态的存在与费米能级附近的高Ω单粒子轨道有关。这些高Ω单粒子轨道来源于高j闯入态在扁椭球形变时的退简并。扁椭球高K同核异能态是研究丰中子核形变参数、激发能等物理性质的理想对象,有助于加深我们对于形变原子核能级结构的理解。     

核物质对称能的高密行为研究

同位旋物理的主要任务之一是通过放射性核束引起的核反应来探索介质中有效核子-核子相互作用的同位旋依赖性,尤其是同位旋相关的核物质状态方程, 即密度依赖的核物质对称能。由于对称能,尤其是其高密行为,对核物理学和天体物理学具有重要意义,密度依赖的对称能在过去10年一直是中能重离子物理研究领域的主要焦点之一。近年来,低密对称能的研究已经取得了重要进展, 而对称能的高密行为仍然很不确定。在理论方面,人们提出了许多对高密对称能敏感的观测量。 实验方面, 关于对称能高密行为研究的实验计划已经展开,世界各地正在建造的放射性核束装置为对称能的高密行为研究提供了新的机遇。基于IBUU输运模型综述了研究对称能高密行为的一些敏感观测量及其最新进展, 以及所面临的挑战与机遇。One of the major tasks of studying isospin physics via heavy ion collisions with neutron rich nuclei, is to explore the isospin dependence of in medium nuclear effective interactions and the equation of state of neutron rich nuclear matter, i.e., the density dependence of nuclear symmetry energy. Because of its great importance for understanding many phenomena in both nuclear physics and astrophysics, the study of the density dependence of nuclear symmetry energy has been the main focus of the intermediate energy heavy ion physics community during the last decade. Nowadays significant progress has been achieved in studying the low density behavior of nuclear symmetry energy, but the high density behavior of nuclear symmetry energy is still very uncertain. Theoretically, a number of observables have been proposed as sensitive probes to the high density behavior of nuclear symmetry energy. With new opportunities provided by the various radioactive beam facilities being constructed around the world, studies of the high density behavior of nuclear symmetry energy is expected to be one of the main forefront research areas in nuclear physics in the near future. In this report, based on the transport model IBUU we have reviewed the major progress achieved in studying the high density behavior of nuclear symmetry energy and discussed future challenges in this field.     

Symmetries and symmetry reductions of the combined KP3 and KP4 equation

To find symmetries,symmetry groups and group invariant solutions are fundamental and significant in nonlinear physics.In this paper,the finite point symmetry group of the combined KP3 and KP4(CKP34) equation is found by means of a direct method.The related point symmetries can be obtained simply by taking the infinitesimal form of the finite point symmetry group.The point symmetries of the CKP34 equation constitute an infinite dimensional KacMoody-Virasoro algebra.The point symmetry invariant so...     

q-Deformation of algebraic structures of quantum and classical mechanics

There exists a coassociative and cocommutative coproduct in the linear space spanned by the two algebraic products of a classical Hamilton algebra (the algebraic structure underlying classical mechanics [1]). The transition from classical to quantum Hamilton algebra (the algebraic structure underlying quantum mechanics) is anħ-deformation which preserves not only the Lie property of the classical Hamilton algebra but also the coassociativity and cocommutativity of the above coproduct. By explicit construction we obtain the algebraic structures of theq-deformed Hamilton algebras which preserve the said properties of the coproduct. Some algorithms of these structures are obtained and their implications discussed. The problem of consistency of time evolution with theq-deformed kinematical structure is discussed. A characteristic distinction between the parametersħ andq is brought out to stress the fact thatq cannot be regarded as a fundamental constant.