三体势对O(6)极限能谱的修正

本文在IBM哈密顿的基础上,考虑d玻色子之间的三体相互作用,引入了一种简单的等效三体势,探讨它对O(6)对称性的破缺.并实际计算了¹⁹⁶Pt、¹³⁴Ba、¹⁹²Os、^72—76Ge和^124—130Xe等偶偶核的能谱,得到了与实验更加符合的结果.     

相对论平均场理论对Pt同位素形状演化的研究

利用形变约束的相对论平均场理论研究了Pt同位素偶-偶核的形状演化,比较了基态结合能和四极形变的理论计算值和实验值, 分析了这些核的位能曲线、单粒子能级及其随四极形变β₂ 的变化规律,发现从N=88到N=126, Pt同位素的基态变形从球形对称核经X(5)对称性核、演化为具有稳定形变的核,再演化为球形核的变化过程.其中, ^166-172Pt是近球形核, ¹⁷⁴Pt和^192-196Pt位于球形和稳定形变之间,可能具有X(5)对称性, ^176-190Pt具有稳定的变形, ^198-202Pt是近球形核, ²⁰⁴Pt是球形核,这些结果与实验一致.     

奇奇核的U(B)(6)×U(v)(12)×U(π)(4)动力学对称性

本文讨论奇奇核U^(B)(6)×U^(v)(12)×U^(π)(4)动力学对称性的SO(6)极限情形.除计算能谱外,对体系的波函数、E(2)电磁跃迁几率和单粒子转移反应强度都进行了计算,并得到相应精确解.最后就¹⁹⁸Au₁₁₉和¹⁸⁸Ir₁₁₁两核的实验能谱与理论计算值进行了比较并作了讨论.     

128—150Ce偶偶核的低能谱和电磁跃迁的相互作用玻色子模型

采用相互作用玻色子模型研究了^128—150Ce同位素核的低能正宇称态的能谱和电磁跃迁.应用简单的哈密顿量很好的描述它们的能谱和E2跃过.研究表明,这些偶偶Ce核是属于U(5)到SU(3)过渡核,而¹⁴⁶Ce以后的核基本是完全的转动核.     

粒子–转子模型分析超形变转动带

利用三轴粒子-转子模型计算了¹⁹³Tl超形变带γ跃迁能量,运动学转动惯量J⁽¹⁾和动力学转动惯量J⁽²⁾,并与实验值进行比较得到了满意的结果;预言了B(M1)值以及动力学电四极矩Q⁽¹⁾和Q⁽²⁾指出在超形变带的分析中粒子-转子模型是一种可以采用的方法.     

带三体势的IBM1的O(6)极限对偶偶Pt核的应用

通过在IBMI哈密顿中,引入一种简单的等效三体势,O(6)核能谱可得到不同程度的修正.本文具体计算了^192—198Pt偶偶同位素核的能谱和E2跃迁几率,理论计算值与实验数据符合较好.     

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.     

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.     

相对论平均场理论对A～130区E(5)关键点核的研究

利用形变约束的相对论平均场理论系统地研究了A～130区Ba,Xe和Te同位素偶－偶核的基态性质, 理论计算数据和实验数据符合得非常好. 详细分析了这些核的位能曲面、费米能和γ跃迁能量的分支比, 给出了¹³⁶Ba,^132,134Xe具有E(5)对称性的预言. 对于^128,130,132Te这3个核, 理论计算的结果表明其具有E(5)对称性, 但γ跃迁能量的分支比的实验值不支持理论结果. 此3个核是否为关键点核有待于实验的进一步检验.     

相对论平均场框架下偶-偶核奇-偶核计算误差的系统研究

在相对论平均场理论框架下, 用NL-3和NL-Z两组相互作用参数研究了4个同位素链²⁸Ni,⁵⁴Xe,⁷⁸Pt,⁹⁴Pu的基态性质. 发现,在Hatree近似下奇A核结合能理论计算值与实验值的相对误差反而普遍比偶偶核小. 这说明用相对论平均场理论,即使不考虑矢量介子的空间分量,仍可以比较可靠地计算奇A核结合能.     

Solving the Generalized Higgs Model from the Generalized CRS Model

In this paper,we reveal a direct relation between the generalized one-dimensional Carinena-RanadaSantander(CRS) model and the radial part of two-dimensional generalized Higgs model.By this relation,we construct a series of quasi-exactly solutions for the two-dimensional Higgs model from a solved generalized CRS model.     

Development of the Tetron Model

The main features of the tetron model of elementary particles are discussed in the light of recent developments, in particular the formation of strong and electroweak vector bosons and a microscopic understanding of how the observed tetrahedral symmetry of the fermion spectrum may arise.     

Correspondances between the Symmetric Lund Model and the Dual Resonance Model

The Symmetric Lund Model is formulated in a manifestly forward-backward symmetric way and generalized to include transverse momenta and finite width resonances. It is shown to possess multiregge behaviour and inclusive-exclusive connection. It's characteristic exp (?area) damping factor is shown to occur also in dual amplitudes, if the Regge slope is given an imaginary part. The introduction of an infinite family of resonances described by a continuous mass spectrum is advocated; it realizes the synthesis of the Symmetric Lund Model with the Bowler and the Artru-Mennessier models, and improves the connection with the Dual Resonance Model.     

Dissipative Model of the Universe

In the present study a trial is carried out to generalize the non-relativistic-dynamic model of cosmology put forward by O. Heckmann. The generalization is performed under the framework of the Gyarmati principle of irreversible thermodynamics for anisotropic inhomogeneous and viscous case. The equation of motion of the dissipative Universe will be a Navier-Stokes tensor equation leading to a Riccatian differential equation general in one dimension. The equations of the Heckmann model compatible with standard cosmology can be obtained from this by means of further simplifying assumption.     

Model of the Plasma Universe

This paper is a review of a number of publications during the last ten years about those changes in our views of the cosmic environment that are the result of advances in plasma physics. To a large extent, these originate from new observational material that space research has supplied. An attempt is made to construct a model of the "plasma universe" which is claimed to be an alternative to the traditional " visual universe" based mainly on observations in the visual octave. Besides the Hubble expansion there is also a "knowledge expansion," which means that knowledge originating from plasma experiments in the laboratory is spreading to the magnetospheres and, it is predicted, sooner or later will also penetrate astrophysics in general. As an example of the usefulness of this model, it is applied to cosmogony, and a review is given of new results from an analysis of the Saturnian rings. The recent reconstruction of certain cosmogonic events with an accuracy better than 1 percent is reviewed and developed.     

Model of the primitive spinor

In an interpretation of the primitive spinor model, the authors discuss systems whose symmetries are infinite Coxeter groups described, as degenerate systems, by fibrations over the generating space of these groups as a bases.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 78–81, October, 1978.     

Black Hole Entropies of the Thin Film Model and the Membrane Model Without Cutoffs

Taking into account the effect of the generalized uncertainty principle on the generalized black hole entropy and tacking the thin film brick-wall model, we calculate the entropy of the quantum scalar field in generalized static black hole. The Bekenstein–Hawking entropies of all well-known static black holes are obtained. The entropy of 2-D membrane just at the event horizon of static black hole is also calculated, and the result of the black hole entropy proportional to the event horizon area can be obtained more easily and generally. This discussion shows that black hole entropy is just identified with the entropy of the quantum field on the event horizon. The difference from the original brick-wall model is that the present result is convergent without any cutoff and the little mass approximation is removed. With residue theorem, the integral difficulty in the calculation of black hole entropy is overcome.     

On the Inozemtsev Model

The BC _N Inozemtsev model is investigated. Finite-dimensional spaces which are invariant under the action of the Hamiltonian of the BC _N Inozemtsev model are introduced and it is shown that commuting operators of conserved quantities also preserve the finite-dimensional spaces. The BC ₂ Inozemtsev model is studied in more detail.