用宏观-微观模型系统计算偶-偶超重核基态性质

用宏观--微观模型系统计算了Z=94—112偶偶超重核的基态性质. 其中宏观部分基于液滴模型, 微观部分采用改进的谐振子势. 理论计算的结合能、α衰变能 与已知的实验数据符合, 理论计算结果也与Moller的计算结果符合很好.这肯定了宏观--微观模型对超重核性质研究的可靠性和稳定性. 对一些未知核素基态性 质的预言可为将来的实验研究提供理论参考.     

理论预测超重核~(274-291)Cn和~(266-287)Ds的衰变模式（英文）

自发裂变和α衰变是影响超重核稳定性的两个主要因素。为了探索270Ds附近的长寿命的超重核,系统地计算了电荷数在104Z112范围内的α衰变与自发裂变之间的竞争。采用推广的液滴模型和唯象的解析公式计算了α衰变半衰期。基于包括壳效应和同位旋效应的WKB近似方法估算了相同超重核的自发裂变半衰期,进而预测了未知超重核~(274-276,279)Cn与~(267-269)Ds的衰变模式。     

α–结团模型对超重核α衰变寿命的研究

用α结团模型计算新合成超重元素的半衰期,与已知的实验数据进行对比分析,发现理论和实验数据能够很好地符合,验证了α结团模型对超重核研究的有效性.同时结合标准的形变Har-tree-Fock模型核质量表给出半衰期理论计算结果,可供以后在理论或实验上研究超重核参考,在此基础上进一步分析超重核区域的α衰变能、双中子分离能和双质子分离能,并讨论Z=114和N=184处是否存在壳效应.     

α-结团模型对超重核α衰变寿命的研究

用α-结团模型计算新合成超重元素的半衰期,与已知的实验数据进行对比分析,发现理论和实验数据能够很好地符合,验证了α-结团模型对超重核研究的有效性.同时结合标准的形变Hartree-Fock模型核质量表给出半衰期理论计算结果,可供以后在理论或实验上研究超重核参考,在此基础上进一步分析超重核区域的α衰变能、双中子分离能和双质子分离能,并讨论Z=114和N=184处是否存在壳效应.     

宏观－微观模型对奇－偶超重核基态性质的系统研究

用宏观－微观模型系统计算了Z=95—113奇－偶超重核的基态性质. 理论计算的结合能、α衰变能与已知的实验数据符合较好, 也与相对论平均场的计算结果符合很好, 这进一步肯定了宏观－微观模型对超重核研究的可靠性. 理论计算表明形变对超重核的性质起重要作用. 同时, 对一些未知核素基态性质的预言可为将来的实验研究提供理论参考.     

超重核294118和291116及其α衰变链上各核素半衰期的研究

运用推广的液滴模型（GLDM）确定了超重核294118和291116及其α衰变链上各核素的衰变势垒, 采用量子力学中的WKB方法计算α衰变中的势垒穿透几率, 对该链上各原子核的α衰变半衰期进行了研究。 此外, 还利用Royer公式对该链上各原子核的α衰变半衰期进行了计算。 结果表明, GLDM 考虑亲和能与Royer公式给出的α衰变半衰期与超重核区的实验值符合很好, 验证了GLDM和Royer公式在超重核区的适用性,可以用来预测超重核的半衰期。 最后, 预言了Z=118 和116 同位素链上各核素的半衰期, 结果表明, 在Z=118和116中存在α衰变长寿命同位素, 这需要实验上的检验。The α decay potential barrier of the newly synthesized superheavy nuclei starting from 294118 and 291116 have been determined and their half lives have been studied with the Generalized Liquid Drop Model(GLDM) connected with WKB approximation and Royer’s formulae．The α decay half lives of the nuclei belonging to the superheavy nuclei starting from 294118 and 291116 have been calculated．The calculated results are in agreement with the experimental data, which show that the α decay half lives of superheavy nuclei with the GLDM and Royer’s formulae can be applied in the studying on superheavy nuclei successfully．Finally, the half lives of Z=118 and 116 isotopes have been predicted, and the results suggest there may be some long lived superheavy nuclei for α decay in those isotopes.     

推广的液滴模型对超重核288115及其α衰变链性质的研究

运用推广的液滴模型来确定新核素²⁸⁸115及其α衰变链上核的衰变位垒, 采用量子力学中处理α衰变的WKB方法, 对该链上各原子核的α衰变半寿命进行了研究．计算结果表明推广的液滴模型结合WKB方法可以很好地在超重区符合α衰变半寿命的实验值. 同时把推广的液滴模型的计算结果和采用密度相关的M3Y微观核力的结果做了详细的比较, 宏观模型(推广的液滴模型)和微观模型(密度相关的M3Y微观核力)计算的α衰变半寿命以及实验值三者之间的符合是对新核素²⁸⁸115及其α衰变链上核半寿命很好的检验.     

新核素278113的基态特性及其α衰变链的研究

用形变的相对论平均场模型,Skyrme-Hartree-Fock模型及宏观-微观模型研究了新核素²⁷⁸113及其α衰变链的α衰变能和半衰期.计算的α衰变能同实验数据比较符合,相应的半衰期也在合理的范围内.计算进一步表明形变对超重核的基态性质有重要影响.     

Z=117和119超重核素的理论研究

在相对论平均场模型下系统地计算Z=117和119超重核同位素链的基态性质, 包括结合能、α衰变能、四极形变等. 通过将相对论平均场计算的结果与Skyrme-Hartree-Fock模型的结果进行比较, 发现两者在结合能和α衰变能上符合较好, 而两者计算的四极形变显示出一定的模型依赖性.     

Bi同位素链上原子核α衰变性质的理论研究

采用结团模型(clustermodel)计算了从10752Te到292116共443个核素α衰变的半衰期,所得结果与实验值符合得很好,显示了结团模型可以成功地应用于研究原子核α衰变的性质。同时研究了Bi同位素链上奇A核α衰变的半衰期,计算结果与已有的实验值的偏差一般在3倍以内,进而对实验上未知α衰变半衰期的原子核的性质进行了预言。这有助于将来在实验室探测与鉴别这些原子核以及研究它们的α衰变性质。理论与实验的比较将加深人们对原子核结构的认识。     

关于"太阳在银河系中所受引力与到银心距离r的关系"的讨论

讨论了银道面内的引力场强分布和太阳在银河系中所受引力与到银心距离r的关系，指出引力场强g并不是与r的平方成反比，这是由于银河系的大小和形状不能忽略造成的．强调了万有引力定律的适用条件．     

Set the controls for the heart of the Sun

In this paper we describe experiments conducted with high-power lasers that are attempting to replicate, for a very short time and in miniature, conditions found in the Sun. Experiments to date have reached conditions in the outer part of the Sun. To reach the Sun's centre requires compression of material to very much greater than solid density and heating to over ten million degrees. To achieve this, a new class of experiments and a new generation of high-power lasers are required.     

Dependence of the Intensity of the Spectral Lines and the Composition of the Sample and the Plasma Parameters of the Unipolar Arc

The investigation was made of the dependence of the intensity of Tl, Ga, Mo, Mg, Mn, Sn, Bi, Ni, Zn, Pt and Au spectral lines and the plasma parameters (temperature T, electron concentration n_e, degree of 6 ionnization α) from concentration of lithium additive.     

干涉仪系统传递函数测量及影响因素的分析

波前功率谱密度(PSD)被用于评价惯性约束聚变(ICF)激光驱动器光学元件中频段的波前误差。干涉仪对PSD较高空间频率分量的测量存在失真效应,可通过干涉仪系统传递函数(STF)的检测标定来获得真实的波前PSD分布。采用台阶板位相比较法测得大口径菲索相移干涉仪检测系统在透射和反射检测情形下的传递函数。对传递函数测试算法进行了比较分析,明确了干涉仪系统zoom倍率的改变等因素对传递函数测量的影响,为波前PSD的准确检测奠定了基础。     

From the Solution of the Tsarev System to the Solution of the Whitham Equations

We study the Cauchy problem for the Whitham modulation equations for increasing smooth initial data. The Whitham equations are a collection of one-dimensional quasi-linear hyperbolic systems. This collection of systems is enumerated by the genus g=0,1,2, ... of the corresponding hyperelliptic Riemann surface. Each of these systems can be integrated by the so-called hodograph transformation introduced by Tsarev. A key step in the integration process is the solution of the Tsarev linear overdetermined system. For each g>0, we construct the unique solution of the Tsarev system, which matches the genus g+1 and g–1 solutions on the transition boundaries.     

On the Problem of the Amenability of the Gauge Group

Let G be one of the local gauge groups C(X, U(n)),C (X, U(n)), C(X, SU(n)) or C (X, SU(n)) where X is a compact Riemannian manifold. We observe that G has a nontrivial group topology, coarser than its natural topology, w.r.t. which it is amenable, viz. the relative weak topology of C(X, M(n)). This topology seems more useful than other known amenable topologies for G. We construct a simple fermionic model containing an action of G, continuous w.r.t. this amenable topology.     

On the stability of the equilibria of the Rikitake system

In this note we present an analytical study of the stability of the equilibria of the Rikitake system. We prove that the two non-hyperbolic equilibria of the Rikitake system are unstable for all positive values of the parameters.     

地球的扁率对卫星运动的影响

指导出地球引力场的势能,分析了卫星的椭圆轨道旋进的现象。     

Testing the mechanism for the LSP stability at the LHC

The lightest supersymmetric particle (LSP) is a natural candidate for the cold dark matter of the universe. In this Letter we discuss how to test the mechanism responsible for the LSP stability at the LHC. We note that if R-parity is conserved dynamically one should expect a Higgs boson which decays mainly into two right-handed neutrinos (a “leptonic” Higgs) or into two sfermions. The first case could exhibit spectacular lepton number violating signals with four secondary vertices due to the long-lived nature of right-handed neutrinos. These signals, together with the standard channels for the discovery of SUSY, could help to establish the underlying theory at the TeV scale.