Generalized Skyrme crystals

This Letter deals with triply-periodic (crystalline) solutions in a family of Skyrme systems, namely where the field takes values in the squashed 3-sphere. The family includes the standard Skyrme model (round 3-sphere), and the Skyrme–Faddeev case (maximal squashing). In the round case, the lowest-energy crystal is the well-known cubic lattice of half-skyrmions; but in the squashed case the minimal-energy crystal structures turn out to be different. We describe some of the solutions that arise, including arrays of vortices and multi-sheeted structures.     

Ξ超子-核子有效相互作用Skyrme力参数的初步研究

在SkyrmeHartreeFock理论框架下,根据已有实验数据首次对ΞN有效相互作用进行了研究,初步确定了ΞN的Skyrme有效力参数,并由此计算了几种Ξ超核的势阱深度和相应的Ξ超子单粒子能级,以及Ξ超子在核中的均方根半径和相应超核的电荷分布半径,在较大的范围内得到了合理的结果.     

Calculation of Radii and Density of ^7-19B Isotopes Using Effective Skyrme Force

Abstract In this study, the proton and neutron densities, charge densities, rms nuclear charge radii, rms nuclear mass radii, rms nuclear proton, neutron radii, and neutron skin thickness are calculated by using Harfree-Fock method with an effective nucleon-nucleon Skyrme interactions with SⅠ, SⅡ, SⅣ, T3, SKM, and SKM^＊ parameters. These nuclear properties for the neutron-rich isotopes of B （Boron） are presented. The calculated results are compared with the experimental and theoretical results of other researchers.     

Neutron Matter Properties Using Skyrme Interaction

The purpose of the present work is to extend earlier nuclear matter calculations to study the properties of neutron matter. The binding energy per particle, symmetry energy, single particle potential, effective mass, and magnetic susceptibility are calculated using a modified Skyrme interaction. These are calculated as a function of the Fermi momentum k_f in the range 0 < k_f < 2 fm^?1. Two sets of the interaction parameters are obtained by fitting the interaction parameters using the available information on neutron matter. Relativistic corrections to the order 1/c² are also calculated. The relativistic corrections are very small and they increase as k_f is increased.     

利用低能质子束产生高强度放射性束流

加拿大TRIUMF实验室利用¹¹C成功验证了一种产生高强度(～10⁸ions/s)放射性束流的方法. 该方法不同于普通在线同位素分离方法, 它利用了13MeV的低能强流质子束, 可以产生一系列核天体物理实验感兴趣的高强度放射性束流.     

经典洛伦兹磁力和广义洛伦兹磁力解释电子感应加速器的本质

介绍了虚构的法拉第定律与电子感应加速器不合理,用完整洛伦兹磁力解释电子感应加速器合理有效。     

Multisolitons in a two-dimensional Skyrme model

The Skyrme model can be generalised to a situation where static fields are maps from one Riemannian manifold to another. Here we study a Skyrme model where physical space is two-dimensional euclidean space and the target space is the two-sphere with its standard metric. The model has topological soliton solutions which are exponentially localised. We describe a superposition procedure for solitons in our model and derive an expression for the interaction potential of two solitons which only involves the solitons' asymptotic fields. If the solitons have topological degree 1 or 2 there are simple formulae for their interaction potentials which we use to prove the existence of solitons of higher degree. We explicitly compute the fields and energy distributions for solitons of degrees between one and six and discuss their geometrical shapes and binding energies.     

Generalized Approach to Relaxed Force Constants

The main purpose of potential constants, i. e., force and compliance constants, is to provide a quantitative understanding of bonding relationships. Compliance constants have been shown to possess several mathematical advantages over conventional force constants.^1-3 Compliance constants, however, are parameters which decrease in magnitude as bond strength increases; consequently, their use as bond strength parameters is not particularly satisfying. The desirability of a measure of bond strength which increases in magnitude as the bond becomes stronger, and at the same time possesses all the advantages of compliance constants is self evident. For this reason, the relaxed force constant T_ii=1/C_ii was introduced by Jones some time ago.⁴ In the present communication, this approach is generalized to include relaxed interaction force constants. A brief discussion of their meaning is also presented.     

Generalized Approach to Relaxed Force Constants

The main purpose of potential constants, i.e., force and compliance constants, is to provide a quantitative understanding of bonding relationships. Compliance constants have been shown to possess several mathematical advantages over conventional force constants.^1-3 Compliance constants, however, are parameters which decrease in magnitude as bond strength increases; consequently, their use as bond strength parameters is not particularly satisfying. The desirability of a measure of bond strength which increases in magnitude as the bond becomes stronger, and at the same time possesses all the advantages of compliance constants is self evident. For this reason, the relaxed force constant T_ii = 1/C_ii was introduced by a Jones some time ago.⁴ In the present communication, this approach is generalized to include relaxed interaction force constants. A brief discussion of their meaning is also presented.     

Geometrical construction of a generalized Skyrme Lagrangian

A geometrical scheme is proposed that leads to a straightforward generalization of a Skyrme Lagrangian, comprising higher-order terms up to the eighth power in pion fields.Boursière DGRST.     

Optical Characterization of Optofluidic Waveguides Using Scattered Light Imaging

The use of scattered light images is shown to be an attractive method for the characterization of optofluidic waveguides. The method is shown to be capable of measuring waveguide propagation losses and transmissions between solid and liquid-core structures. Measurement uncertainties are considered and characterized and were typically less than 15%.     

The Skyrme model on a four-dimensional lattice

The SU(2) Skyrme model is formulated on a four-dimensional lattice with the nearest and next-to-nearest neighbor interactions in the action. To establish a continuum limit, the phase structure is studied and the order of phase transition is determined by various methods. Coexistence of two phases and hysteresis effect are observed at the critical point, indicating a first-order phase transition in the parameter space.     

Nonconcentration of energy for a semilinear Skyrme model

We continue our investigation [1] of a model introduced by Adkins and Nappi [2], in which ω mesons stabilize chiral solitons. The aim of this article is to show that the energy associated to equivariant solutions does not concentrate.     

Compression Properties of Finite Nuclear Matter at Zero and Finite Temperatures with the Skyrme Force SKM

By taking into account the finite-size effect rationally in the framework of the Hartree-Fock theory, compression properties at zero and finite temperatures of finite nuclear matter are investigated with the Skyrme force SKM^*. Energies of the isoscalar giant monopole resonance of nuclei at zero temperature calculated are found to be in agreement with experimental and empirical values.     

The Skyrme model on a four-dimensional lattice

The SU(2) Skyrme model is formulated on a four-dimensional lattice with the nearest and next-to-nearest neighbor interactions in the action. To establish a continuum limit, the phase structure is studied and the order of phase transition is determined by various methods. Coexistence of two phases and hysteresis effect are observed at the critical point, indicating a first-order phase transition in the parameter space.     

The Analytical Parametrization of Fusion Barrier by Using the Skyrme Energy-Density Function Model

Using the skyrme energy density formalism, a pocket formula is introduced for barrier heights and positions of 95 fusion reactions(48≤ZPZT≤1520) with respect to the charge and mass numbers of the interacting nuclei. It is shown that the parameterized values of RBand VBare able to reproduce the corresponding experimental data with good accuracy. Moreover, the absolute errors of our formulas are less than those obtained using the analytical parametrization forms of the fusion barrier based on the proximity versions. The ability of the parameterized forms of the barrier heights and its positions to reproduce the experimental data of the fusion cross section have been analyzed using the Wong model.     

The Analytical Parametrization of Fusion Barrier by Using the Skyrme Energy-Density Function Model

Using the skyrme energy density formalism, a pocket formula is introduced for barrier heights and positions of 95 fusion reactions (48 ≤ Z_PZ_T ≤ 1520) with respect to the charge and mass numbers of the interacting nuclei. It is shown that the parameterized values of RB and VB are able to reproduce the corresponding experimental data with good accuracy. Moreover, the absolute errors of our formulas are less than those obtained using the analytical parametrization forms of the fusion barrier based on the proximity versions. The ability of the parameterized forms of the barrier heights and its positions to reproduce the experimental data of the fusion cross section have been analyzed using the Wong model.