Influence of angular momentum in axially symmetric potentials with octupole deformation

The chaotic classical single-particle motion in an oblate octupole deformed potential with a non-zero z-component of angular momentum Lz is investigated. The stability analysis of the trajectories shows that with increasing rotation of the system, the unstable negative curvature regions of the effective potential surface decrease, which converts the chaotic motion of the system into a regular one.     

Influence of angular momentum in axially symmetric potentials with octupole deformation

The chaotic classical single-particle motion in an oblate octupole deformed potential with a nonzero z-component of angular momentum Lz is investigated. The stability analysis of the trajectories shows that with increasing rotation of the system, the unstable negative curvature regions of the effective potential surface decrease, which converts the chaotic motion of the system into a regular one.     

Chaotic motion in axially symmetric potentials with oblate quadrupole deformation

By computing the Poincaré?s surfaces of section and Lyapunov exponents, we study the effect of introducing an oblate quadrupole in the dynamics associated with two generic spherical potentials of physical interest: the central monopole and the isotropic harmonic oscillator. In the former case we find saddle points in the effective potential, in contrast to the statements presented by Guéron and Letelier in [E. Guéron, P.S. Letelier, Phys. Rev. E 63 (2001) 035201]. The results we show in the second case have application in nuclear or atomic physics. In particular, we find values of oblate deformation leading to a disappearance of shell structure in the single-particle spectrum.     

Nuclear dynamical octupole deformation in heavy-ion reactions

Within the quantum molecular dynamics (QMD) model, the dynamical octupole deformation is studied as a function of the central distance between the projectile and target in the approaching process of heavy-ion fusion reactions. The dependence of the maximum dynamical octupole deformations on the incident energies is also investigated. The dynamical octupole deformations can be observed during the approaching process, and the maximum dynamical octupole deformations become more significant with decreasing incident energies. The distributions of the proton and neutron centers in the projectile and target are also investigated, respectively. In the approaching process of heavy-ion fusion reactions, the separation between proton centers for two nuclei is larger than that between neutron centers because of the strong Coulomb potential.     

Tomography in external axially symmetric field

The generalization of the Cormack algorithm for inversion of the Radon transform with axially symmetric absorption is proposed. The Radon transform is one of the main mathematical tools of optical tomography. In many technical applications, the absorption is axially symmetric. This allows one to perform the expansion of the original and its image in terms of angular harmonics, which simplifies the inversion of the transform.     

On non-static axially symmetric space-time

In this paper the general non-static axially symmetric line element has been considered in the context of Petrov Classification. The space-time is found to be of various Petrov Types under different circumstances. The necessary algebraic conditions for such a space-time to be of class one have also been derived. It is found that there exists only one solution representing a plane symmetric class-one null-electromagnetic field.     

Stationary axially symmetric Brans-Dicke-Maxwell fields

A method is presented which enables one to obtain solutions to the stationary axially symmetric Brans-Dicke fields coupled to source-free Maxwell fields from the solutions of the Einstein-Maxwell equations in Einstein's theory. The Brans-Dicke analog of the Kerr-Newman solution has been obtained as an example.     

Rotational consequences of stable octupole deformation in nuclei

The characteristic features of high-spin spectra of octupole-deformed nuclei are demonstrated by means of Woods-Saxon-Bogolyubov cranking calculations. The rotational spectra of Ra and Th nuclei are studied. The experimental data suggests shape changes with increasing neutron number from N ? 130 (nearly spherical shapes) through N ? 134 (octupole-deformed shapes) to N ? 140 (well-deformed reflection-symmetric shapes). The octupole mixing between the high-j intruder states and normal-parity orbitals leads to specific patterns of quasiparticle spectra characterised by a quantum number referred to as simplex. The influence of octupole deformation on high-spin properties of nuclear spectra like spin alignment, band interaction, etc. are discussed.     

Search for octupole deformation in neutron-rich Xe isotopes

A search for octupole deformation in neutron-rich Xe isotopes has been conducted through prompt gammaray spectroscopy of secondary fragments produced in the spontaneous fission of²⁴⁸Cm. The spectrometer consisted of the Eurogam 1 array and a set of 5 LEPS detectors. Level schemes were constructed for Xe isotopes with mass number ranging from 140 to 144 and excited states for^143,144Xe nuclei were observed for the first time. None of the level schemes exhibit an alternating parity quasimolecular band, a feature usually expected in nuclei in which octupole correlation effects are strong enough to produce stable octupole deformation. For several isotopes, structures observed in the level schemes are consistent with an octupole softness of the nuclei.     

Critical-point behaviour of axially deformed nuclei in the octupole degree of freedom

The evolution of the octupole excitation is investigated along the Th isotope chain. The isotope ²²⁶Th results to be close to the critical point (square-well potential in the octupole amplitude ).Received: 26 October 2002, Published online: 16 March 2004PACS: 21.60.Ev Collective models     

Static axially symmetric solutions in Nordtvedt's theory

Static axially symmetric solutions in vacuum are obtained in the general scalar-tensor theory proposed by Nordtvedt. The solutions are asymptotically flat and under certain conditions give very large red shift. The asymptotic behavior and singularity are studied and a comparison is made with a corresponding solution with spherical symmetry. It is also observed that with a conformal transformation the Nordtvedt metric appears to reduce to the Brans-Dicke one.     

Possible evidence for static octupole deformation in128,129Ba

It is demonstrated that recent experimental results on high spin states of^128,129Ba offer substantial new evidence for static octupole deformation in these nuclei.     

轴对称磁透镜设计

以中国科学院近代物理研究所正在研制的轴对称磁透镜为例,设计了两种结构的轴对称磁透镜:带屏蔽铁壳的螺线管透镜和极靴形状为锥形的Glaser透镜。带屏蔽铁壳的螺线管透镜产生的轴对称磁场比较均匀,而极靴形状为锥形的Glaser透镜产生的轴对称磁场比较集中。分别采用了两种物理模型计算磁场,同时应用有限元分析软件ANSYS进行数值模拟,最后从物理和工程角度对这两种透镜作了全面比较,得出带屏蔽铁壳的螺线管透镜结构更符合设计要求。     

轴对称磁透镜设计

以中国科学院近代物理研究所正在研制的轴对称磁透镜为例,设计了两种结构的轴对称磁透镜:带屏蔽铁壳的螺线管透镜和极靴形状为锥形的Glaser透镜。带屏蔽铁壳的螺线管透镜产生的轴对称磁场比较均匀,而极靴形状为锥形的Glaser透镜产生的轴对称磁场比较集中。分别采用了两种物理模型计算磁场,同时应用有限元分析软件ANSYS进行数值模拟,最后从物理和工程角度对这两种透镜作了全面比较,得出带屏蔽铁壳的螺线管透镜结构更符合设计要求。     

Chaos in symmetric phase oscillator networks

Phase-coupled oscillators serve as paradigmatic models of networks of weakly interacting oscillatory units in physics and biology. The order parameter which quantifies synchronization so far has been found to be chaotic only in systems with inhomogeneities. Here we show that even symmetric systems of identical oscillators may not only exhibit chaotic dynamics, but also chaotically fluctuating order parameters. Our findings imply that neither inhomogeneities nor amplitude variations are necessary to obtain chaos; i.e., nonlinear interactions of phases give rise to the necessary instabilities.     

轴对称荷电圆盘的静电势

讨论了电荷分布呈轴对称时圆盘的静电势问题。用方程法和延拓法求解了电荷分布为幂函数时的静电势,在原有的延拓法则之外,总结出新的补充法则。