单核子在具有八极形变的平均势场中的混沌运动(Ⅱ)初始相干态空时演化中正则变量的期望值和测不准度的特征

研究了二维不对称谐振子的相干态在附加八极形变势作用下传播时,量子正则变量的期望值和测不准度的变化,发现量子混沌与相应的经典混沌完全对应地表现了多种性质.量子混沌的特征也与势能面的几何对称性,即势能面上负曲率的存在及负曲率的大小有关系.     

Chaotic Motion of a Nucleon in Mean Field Potential With Octupole Deformation (Ⅱ) Characteristics of Expectation Values and Uncertainty Measures of Canonical Variables in Space-Temporal Variation of Initial Coherent States

Coherent states of two dimensional asymmetrical harmonic oscillator, which prop- agate in additional octupole deformation potentials, are used to investigate the characteristics of expectation values and uncertainty measures of canonical variables in space-temporal varia- tions.The quantum chaotic system shows varying behaviors as the corresponding classical chaotic system does. Thus the characteristics of quantum chaos are associated with the geom- atric symmetry of the potential surface, specifically, the existence of the negative curvature and the magnitude of the curvature in the potential surface.     

What can we learn from the tension between PLANCK and BICEP2 data?

Recently BICEP2 collaboration has announced the detection of the primordial gravitational waves at high confidence level.In light of the results of B-modes power spectrum from BICEP2 and using the basedΛCDM,a constraint on the tensor-to-scalar ratio r=0.20+0.07-0.05(68%C.L.)can be obtained,however,this result is in apparent tension with the limit on standard inflation models from the recent PLANCK measurement,r0.11(95%C.L.).Herein we review the recent progress on the cosmological studies after BICEP2 and discuss on different ways of reconciling the tension between PLANCK and BICEP2 data.We will discuss possible modifications on the standard cosmological model,such as including the running of scalar spectral index or other cosmological parameters correlated with inflationary cosmological parameters,or tilting the primordial power spectrum at large scales by introducing a cut off which can be predicted by bouncing cosmology.We will also comment on another possibility of generating extra B-modes of CMB polarization,namely by a non-zero polarization rotation angle during its transferring from the last scattering surface.     

The physics design of magnet in 14 MeV cyclotron

The 14 MeV, 400 μA compact cyclotron is under construction at China Institute of Atomic Energy (CIAE). The design of main magnet and the result of beam dynamics in the cyclotron will be described in this paper, including the choice of main parameters of magnet, the method of shimming isochronous field in the compact cyclotron and optimization of the magnetic field in central region. The beam will be accelerated to 14.6 MeV by optimizing the magnet structure.

     

在相对论平均场框架下Pr同位素链的基态性质

在相对论平均场框架下研究了Pr同位素链的基态性质.对关联的处理采用了BCS方法,并使用了与同位旋有关的对力常数,对不成对的核子采用了‘阻塞法’,并考虑了核的轴对称形变.计算结果表明,包含非线性介子自相互作用的相对论平均场理论可以在很大的同位旋范围内很好地描述Pr同位素链的结合能、形变、中(质)子密度分布、同位素位移等.理论计算的结果与有限力程小液滴模型的结果符合得很好.特别检验了描述对关联的BCS近似在Pr链的适用范围和适用的程度.     

Chaotic Motion of a Nucleon in Mean Field Potential with Octupole Deformation (Ⅲ) Study of Probability Density Distribution in Space-Temporal Variation of Initial Coherent States and the Strength of Disturbance

Coherent states of two dimensional asymmetrical harmonic oscillator,which prop-agate in additional octupole deformation potentials, are used to investigate the complexity of the density matrix and the sensitivity against the strength of disturbance. It was found that according to the regular, partly chaotic and overall chaotic characteristics of the phase space of the classical system,its quantum analogy bears out corresponding characters, which were associated with the existence of the negative curvature at the potential surface and the magni-tude of the negative curvature.     

Quantitative Measurement of the Exponential Growth of Spreading Width of a Quantum Wave Packet in Chaotic Systems

The quantum correspondence of the very peculiar phenomenon of classical chaos-the exponential instability of motion can be characterized by the initially exponential growth rate of the total uncertainty measurement of the propagating quantum wave packet. Our calculation indicates that quantitatively the growth rate is approximately twice the classical maximum Lyapunov exponent of the system.     

Predictions of synthesizing element 119 and 120

The evaporation residue cross sections of synthesizing superheavy nuclei Z=119, 120 are calculated by different sets of master equations with different dynamical variables. Two methods basically predicted similar results that the Ca induced hot fusion can 48 produce element 119 easier than produce 120, and the evaporation residue cross sections for 119 are detectable by current advanced techniques, while the evaporation residue cross sections are below 0.1 pb for producing element 120.     

Predictions of synthesizing element 119 and 120

The evaporation residue cross sections of synthesizing superheavy nuclei Z=119, 120 are calculated by different sets of master equations with different dynamical variables. Two methods basically predicted similar results that the ⁴⁸Ca induced hot fusion can produce element 119 easier than produce 120, and the evaporation residue cross sections for 119 are detectable by current advanced techniques, while the evaporation residue cross sections are below 0.1 pb for producing element 120.     

在相对论平均场框架下Pr同位素链中滴线核的确定

在相对论平均场框架下研究了Pr同位素链中中子和质子滴线核的可能位置及相关性质.对效应的处理采用了BCS方法,并使用了与同位素有关的对力常数,对不成对的核子采用了‘阻塞法’,考虑了核的轴对称形变.计算结果表明,对不同物理量的研究都可得到¹⁸⁵Pr为同位素链中丰中子边最后一个稳定核.而在丰质子边,采用本方法很难确定质子滴线核的位置.原因是由于在丰质子边随着A的减少,费米面比丰中子边的费米面更快地趋于连续态,BCS方法不再成立,并须考虑束缚态和连续态的耦合.