迈耶夫人

 对于居里夫人,绝大多数读者是很熟悉的。然而,继居里夫人之后半个世纪,又有一位女科学家获得诺贝尔物理学奖---她就是玛丽亚·戈佩特·迈耶。2006年恰逢迈耶夫人诞生100周年,我们回顾她的生平和她对科学事业的贡献是很有意义的。迈耶夫人生平玛丽亚·戈佩特·迈耶（MariaGoeppertMayer,1906¹972,即迈耶夫人,原名玛丽亚·戈佩特）出生于德国的上西里西亚地区（第一次世界大战后归属波兰）卡托维兹市的教授世家,前六代都是德国大学教授。她是父母的独生女。     

1948年8月：玛丽亚·格佩特·迈耶和核壳层模型

玛丽亚·格佩特·迈耶（Maria Goeppert Mayer）在核结构方面有重大的发现,是曾经获得诺贝尔物理奖仅有的两位女性其中的一位。可是在她获得物理教职前的早期学术生涯中,却被迫做了好几年无薪的工作。虽然如此,她对她的研究工作始终奋力不懈,于1948年8月发表了第一篇论文,提出许多可以解释原子核诸多性质的核壳层模型证据。     

原子核壳模型发现前后

 大约四十年前,梅耶和詹森分别独立地提出了原子核壳模型,成功地解释了幻数等原子核结构的主要特性.虽然这个模型并未最终解决原子核结构问题,但它应作为研究原子核结构的基础模式已为世人所公认.因此,梅耶、詹森和对群论在核谱学上的应用作出重大贡献的魏格纳一起荣获了1963年度诺贝尔物理学奖金。本文介绍发现原子核壳模型的前后经过.卢瑟福发现原子内有核存在在1906年卢瑟福发现α粒子散射现象以后,盖革和马斯顿做了大量α粒子散射的研究工作.     

q形变壳模型中奇A核的磁矩

将核磁矩算符定义为量子群SU_q(2)的一阶张量算符的形式.计算结果显示,q形变参数依赖于最后一个主壳层中的价核子数.在对满单j壳层外仅有一个价核子的奇A核磁矩值进行拟合后发现,在大多数情况下,较Schmidt值有所改进.     

轻丰中子核的壳模型计算

对9≤A≤14,3≤Z≤5的核进行了壳模型计算.以⁸He作为core,选用修正的表面δ相互作用(MSDI)作为残余相互作用,挑选了24个实验能谱数据,定出了MSDI的参数和单粒子能量,并计算了结合能、低激发谱、电磁性质等,得到与实验较符合的结果.并着重讨论了¹¹Be的宇称反转和halo结构的物理机理.计算程序为OXBASH.     

原子层沉积方法制备核-壳型纳米材料研究

采用原子层沉积方法在碳黑纳米颗粒表面分别沉积Al₂O₃, ZnO, TiO₂和Pt, 成功制备出核-壳型纳米材料. 通过高分辨率透射电子显微镜、X射线光电子能谱仪、 能谱仪对材料的表面形貌、晶体结构、薄膜成分进行了表征和分析. 结果表明, 原子层沉积方法是制备核壳型纳米材料的理想方法. 此外, 还分析了采用原子层沉积方法沉积不同材料, 所生长的薄膜材料有单晶、多晶、非晶等多种存在形式的形成原因. 关键词： 原子层沉积 核-壳型纳米材料 碳黑纳米颗粒     

一些近期发现的同核异能态的壳模型解释

近期,在101In、123,125Ag和218Pa等核中,首次观测到同核异能态。本工作通过原子核壳模型解释In、Ag同位素和$N\!=\!127$同中素中的这些同核异能态及相关的同核异能态背后的物理原因。101-109In这五个奇A核In同位素中,观测到的$1/2^{-}$同核异能态的激发能非常接近。这可以通过引入中子近期,在101In、123,125Ag和218Pa等核中,首次观测到同核异能态。本工作通过原子核壳模型解释In、Ag同位素和$N\!=\!127$同中素中的这些同核异能态及相关的同核异能态背后的物理原因。101-109In这五个奇A核In同位素中,观测到的$1/2^{-}$同核异能态的激发能非常接近。这可以通过引入中子$0g_{7/2}$和$1d_{5/2}$轨道间的很强的组态混合来解释。更进一步分析表明,这些奇A核In同位素中,从$9/2^{+}$基态到$1/2^{-}$同核异能态,一个质子从$1p_{1/2}$轨道激发到$0g_{9/2}$轨道。这一质子组态变化可能引发中子$0g_{7/2}$和$1d_{5/2}$轨道的单粒子能变化。这样一个原子核内的组态依赖的壳演化被称为第二类壳演化。与In同位素类似,123,125Ag的同核异能态被发现是$1/2^{-}$态,对应着一个质子空穴在$1p_{1/2}$轨道。但之前观测到的115,117Ag的$1/2^{-}$态是基态。这意味着质子$1p_{1/2}$轨道和$0g_{9/2}$轨道在$N\!=\!72$附近发生了反转。壳模型分析表明张量力是造成这两个轨道反转的决定性原因。之前观测到的奇奇核$N\!=\!127$同中素210Bi、212At、214Fr和216Ac中,基态是$1^{-}$态,同时存在高自旋的同核异能态。然而,基于$\alpha$衰变性质和壳模型计算,推荐218Pa中的基态和新发现的同核异能态分别为$8^{-}$态和$1^{-}$态。奇奇核$N\!=\!127$同中素基态和同核异能态的演化是由质子中子相互作用从粒子粒子形式转化为空穴粒子形式以及质子组态混合所导致。总的来说,壳模型对这些双幻核100Sn、132Sn和208Pb附近核中新发现的同核异能态有较好的描述。双幻核附近核中的同核异能态,也称为壳模型同核异能态,是核结构研究中非常重要的。因为这些同核异能态常常提供了中重质量区域极端丰中子和缺中子原子核中的第一个谱学性质,并包含了丰富的物理信息,比如质子中子相互作用及其在壳演化中的作用。     

反射不对称壳模型及Ra八极形变带的描述

应用变分法,建立了反射不对称壳模型(RASM)的基本理论框架.通过计算RASM的本征方程可以得到原子核的八极转动带.在RASM框架下,再现了典型八极形变偶偶核Yrast带的一些基本特征.计算了典型八极形变偶偶同位素^222—230Ra的Yrast带,理论与实验符合得很好.     

经验壳模型和近球形142Pm核高自旋态能级结构

通过反应¹²⁸Te(¹⁹F,5n)¹⁴²Pm研究了双奇核¹⁴²Pm的高自旋态能级结构, 建立了¹⁴²Pm核高自旋态能级纲图. 根据能级结构的系统性, 识别了四个两准粒子态. 根据经验壳模型计算建议了几个新建的关键能级的组态. 67微妙同质异能态被指定为一个全顺排四空穴态(πg_7/2^－1d_5/2^－2ν h_11/2^－1)₁₃^－.     

Local scaling transformation function and atomic shell structure in density functional theory

The method of local scaling transformation in density functional theory calculates a transformation function (TRF) in order to generate an optimized atomic N-electron wave function from a trial density and a reference density/wave function. The TRFsf(r) for several atomic systems are studied and it is observed that the number of minima in df(r)/dr equals the number of atomic shells, except whenρ=ρ ₀ andf=r.     

Role of 208Pb daughter nucleus and nuclear shell effects in trans‐lead cluster radioactivity by emission of neon clusters from 218–236U isotopes

In the present work, the cluster radioactivity of even A uranium isotopes (^218–236U) with the emission of both alpha‐like and non‐alpha‐like neon clusters (^{20,22,24,26,28}Ne) was studied. The decimal logarithm of half‐lives (expressed in seconds) were calculated by three different approaches based on (i) the single line of Universal curve (UNIV) for alpha and cluster radioactive decay, (ii) the Universal Decay law (UDL) and (iii) by considering a fission‐like model in which the interacting nuclear potential barrier was taken to be the sum of Coulomb and proximity potentials (CPPM) respectively. Based on the half‐lives calculated by using the three different approaches mentioned above, significance of the role of ²⁰⁸Pb nucleus (doubly magic nucleus) and nuclear shell effects in trans‐lead cluster radioactivity were investigated. The calculated half‐lives have also been compared with available experimental results. It was observed that cluster decay modes leading to the formation of ²⁰⁸Pb daughter nucleus have the lowest half‐lives. This implies that there is a shell closure at proton number (Z) = 82 and neutron number (N) = 126. Hence, it confirms the existence of nuclear shell effect and stresses the significance of role of ²⁰⁸Pb daughter nucleus in the trans‐lead cluster radioactivity. It can be noticed that the calculated half‐lives for several cluster decay modes are well within the present experimental upper limit for measurements (T_1/2 < 10³⁰S). These results may be useful for future experiments.     

α particle preformation and shell effect for heavy and superheavy nuclei

The α particle preformation factor is extracted within a generalized liquid drop model for Z = 84-92 isotopes and N = 126,128,152,162,176,184 isotones.The calculated results show clearly that the shell effects play a key role in α particle preformation.The closer the proton and neutron numbers are to the magic numbers,the more difficult the formation of the α cluster inside the mother nucleus is.The preformation factors of the isotopes reflect that N = 126 is a magic number for Po,Rn,Ra,and Th isotopes,but for U isotopes the weakening of the influence of the N =126 shell closure is evident.The trend of the factors for N = 126 and N = 128 isotones also support this conclusion.We extend the calculations for N = 152,162,176,184 isotones to explore the magic numbers for heavy and superheavy nuclei,which are probably present near Z = 108 to N = 152,162 isotones and Z = 116 to N = 176,184 isotones.The results also show that another subshell closure may exist after Z = 124 in the superheavy nuclei.This is useful for future experiments.     

Empirical relation and establishment of shell effects in (<Emphasis Type="Italic">n</Emphasis>, 2<Emphasis Type="Italic">n</Emphasis>) reaction cross-sections at 14 MeV

The experimental data for (n, 2n) reaction cross-sections around 14 MeV neutron energy have been collected from the literature and analysed for the isotopes having 1 ≤ Z ≤ 82. The empirical relations for the reaction cross-sections have been obtained, which show fairly good fits with the experimental values. The shell effects have been established at magic nucleon numbers for (n, 2n) reaction cross-sections around 14 MeV neutron energy. The odd-even effects have also been observed as the cross-sections for odd-mass nuclei are higher than their neighbouring even-even nuclei.      

Coulomb interaction symmetries and the Mayer series in the two-dimensional dipole gas

We study the Mayer series of the two-dimensional dipole gas in the high-temperature, low-density regime. Without performing any multiscale analysis, we obtain bounds showing that the Mayer coefficients are finite in the thermodynamic limit. These bounds are obtained by exploiting a particular partial symmetry of the interaction (which we nameO-symmetry), already used in some problems related to the two-dimensional Coulomb gas. By direct bounds on some Mayer graphs we also conjecture that any technique based uniquely on theO-symmetry will not be sufficient to prove analyticity of the series.     

Quantum Mayer Graphs for Coulomb Systems and the Analog of the Debye Potential

Within the Feynman–Kac path integral representation, the equilibrium quantities of a quantum plasma can be represented by Mayer graphs. The well known Coulomb divergencies that appear in these series are eliminated by partial resummations. In this paper, we propose a resummation scheme based on the introduction of a single effective potential that is the quantum analog of the Debye potential. A low density analysis of shows that it reduces, at short distances, to the bare Coulomb interaction between the charges (which is able to lead to bound states). At scale of the order of the Debye screening length ^–1 _D, approaches the classical Debye potential and, at large distances, it decays as a dipolar potential (this large distance behaviour is due to the quantum nature of the particles). The prototype graphs that result from the resummation obey the same diagrammatical rules as the classical graphs of the Abe–Meeron series. We give several applications that show the usefulness of to account for Coulombic effects at all distances in a coherent way.     

Application of shell model in molecular dynamics simulation to MgO

The P－V－T equation of state of MgO has been simulated under high pressure and elevated temperature using the molecular dynamics (MD) method with the breathing shell model (BSM). It is found that the MD simulation with BSM is very successful in reproducing accurately the measured molar volumes of MgO over a wide range of temperature and pressure. In addition, the MD simulation reproduces accurately the measured volume compression data of MgO up to 100GPa at 300K. It is demonstrated that the MD simulated P－V－T equation of state of MgO could be applied as a useful internal pressure calibration standard at elevated temperatures and high pressures.     

原子力显微镜在轻敲模式下的动力学模型

基于Hamaker假设、Lennard-Jones势能定律及经典弹性理论建立了一种新型的球体与平面黏着接触的弹性模型，该模型显示黏着力在原子力显微镜(AFM)针尖趋近和撤离样品表面，即加载和卸载的两个过程中存在黏着滞后现象，表明了AFM在轻敲工作模式中存在能量耗散.同时，根据所建的黏着接触弹性模型，建立了AFM在轻敲工作模式下的动力学模型，研究了AFM在轻敲工作模式下的振动幅度、相位差及耗散功率随针尖与样品表面间距的变化规律，仿真结果与现有的实验结果相一致.     

Nucleon-pair approximation to the nuclear shell model

Atomic nuclei are complex systems of nucleons–protons and neutrons. Nucleons interact with each other via an attractive and short-range force. This feature of the interaction leads to a pattern of dominantly monopole and quadrupole correlations between like particles (i.e., proton–proton and neutron–neutron correlations) in low-lying states of atomic nuclei. As a consequence, among dozens or even hundreds of possible types of nucleon pairs, very few nucleon pairs such as proton and neutron pairs with spin zero, two (in some cases spin four), and occasionally isoscalar spin-aligned proton–neutron pairs, play important roles in low-energy nuclear structure. The nucleon-pair approximation therefore provides us with an efficient truncation scheme of the full shell model configurations which are otherwise too large to handle for medium and heavy nuclei in foreseeable future. Furthermore, the nucleon-pair approximation leads to simple pictures in physics, as the dimension of nucleon-pair subspace is always small. The present paper aims at a sound review of its history, formulation, validity, applications, as well as its link to previous approaches, with the focus on the new developments in the last two decades. The applicability of the nucleon-pair approximation and numerical calculations of low-lying states for realistic atomic nuclei are demonstrated with examples. Applications of pair approximations to other problems are also discussed.