Deformed tensor interactions in deuteron elastic and inelastic scattering

The various forms of tensor potentials present in deuteron elastic and inelastic scattering on a deformed target nucleus are derived using a folding model for the deuteron-nucleus interaction. Approximate expressions for the radial dependence of the deformed tensor interactions parametrized with the derivatives of Woods-Saxon potentials are obtained and discussed for the case of a rotational nucleus.     

Optical model description of the elastic scattering of 6He from a polarized proton target at 71 MeV/nucleon

The vector analyzing power and differential cross section for the elastic scattering of ⁶He nucleus from polarized protons at 71 MeV/nucleon have been analyzed using the optical model potentials. Different versions of the nuclear potential are constructed using phenomenological potentials and semimicroscopic potentials based upon four different versions of 6He density and three effective nucleon-nucleon interactions. The effects of density dependence and the sensitivity of the cross sections for interactions have been investigated.     

The argon and krypton interatomic potentials revisited

Accurate interatomic potentials are constructed which represent subtle but significant improvements for the argon and krypton interactions. The potentials are of the HFD-B form with definite advantages over the HFD-C form. These new potentials incorporate recent determinations of the C₆ dispersion coefficient and accurately predict the best available spectroscopy, scattering and bulk data, some of which data were published after earlier constructions.     

On the development of a general force field for the molecular simulation of perfluoroethers

We report the development of a transferable force field for the accurate modelling of perfluoroethers. The potential model takes the general form in which separate bond bending and torsional terms describe the intramolecular interactions, with the addition of van der Waals and electrostatic terms to describe the non-bonded interactions. Ab initio quantum mechanical calculations were carried out to obtain the partial charges and intramolecular torsional and bending potentials. The van der Waals interactions are described by Lennard-Jones potentials, the parameters of which are optimized to reproduce the available experimental vapour-liquid equilibrium data. An extension of the Gibbs-Duhem method was used to speed up the optimization.     

Dirichlet form approach to infinite-dimensional Wiener processes with singular interactions

We construct infinite-dimensional Wiener processes with interactions by constructing specific quasi-regular Dirichlet forms. Our assumptions are very mild; accordingly, our results can be applied to singular interactions such as hard core potentials, Lennard-Jones type potentials, and Dyson's model. We construct nonequilibrium dynamics.Dedicated to Professor Masatoshi Fukushima on his 60th birthday     

Bound Dirac states,different Lorentz-type couplings of central potentials and the non-relativistic limit

The analysis of bound radial Dirac states is shown to simplify for problems with an equal mixture of Lorentz vector and Lorentz scalar potentials, thus satisfying a so-called spin symmetry of the energy spectrum. Typical relativistic restrictions on potentials that are singular at the origin then disappear. Such potentials may even be strongly singular at the origin like the well known Lennard-Jones potentials modelling many atom-atom interactions, and they reduce to non-relativistic potentials of identical form. Bound state energies for potentials with equal vector- and scalar couplings are compared with those of a pure vector coupling of the same radial (attractive screened and unscreened Coulomb) shapes, and with non-relativistic results.     

Test of a separable approximation to a local soft-core potential in the three-body system

Three-nucleon observables below the break-up threshold are calculated employing the pole approximation to the soft-core Malfliet-Tjon potentials. The results are compared in detail to those obtained with the local potentials and to those calculated with the usual Yamaguchi interactions.     

Constraining Exotic Interactions

Beyond‐the‐standard‐model interactions mediated by an exchange of virtual “new” bosons result in a finite set of possible effective interaction potentials between standard‐model particles such as electrons and nucleons. The classification of such potentials is discussed and recent experiments searching for such exotic interactions at spatial scales from sub‐nanometers to tens of thousand kilometers are briefly reviewed.     

Non-autonomous matter-wave solitons in hybrid atomic–molecular Bose–Einstein condensates with tunable interactions and harmonic potential

In this paper, we investigate matter-wave solitons in hybrid atomic–molecular Bose–Einstein condensates with tunable interactions and external potentials. Three types of time-modulated harmonic potentials are considered and, for each of them, two groups of exact non-autonomous matter-wave soliton solutions of the coupled Gross–Pitaevskii equation are presented. Novel nonlinear structures of these non-autonomous matter-wave solitons are analyzed by displaying their density distributions. It is shown that the time-modulated nonlinearities and external potentials can support exact non-autonomous atomic–molecular matter-wave solitons.     

Direct measurement of entropic forces induced by rigid rods

We present the first direct depletion potential measurements for a single colloidal sphere close to a wall in a suspension of rigid colloidal rods. Since all particle interactions are as good as hard-core-like, the depletion potentials are of entirely entropic origin. We developed a density functional theory approach that accurately accounts for this experimental situation. The depletion potentials calculated for different rod number densities are in very good quantitative agreement with the experimental results.     

Solvent effects of ionic liquids: investigation of ferrocenes as electrochemical probes

The redox potentials of ferrocene and decamethylferrocene were determined in a number of molecular and ionic solvents and used as a probe for polarity of room temperature ionic liquids (ILs). No macroscopic solvent property is simply related to redox potentials. Single empirical solvent parameters also are not able to describe the differences in potentials. Instead, Kamlet–Taft multiparameter relationship fits well ferrocenes redox potentials variation, with both molecular solvents and ILs, well describing specific solvent–solute interactions with the two probes. Copyright © 2010 John Wiley & Sons, Ltd.     

Instantaneous interaction in massive gravity

In general relativity, the instantaneous contributions to the gravitational potentials cancel each other in observable, leaving the theory free of physical instantaneous interactions. In models where these subtle cancellations are spoiled by the presence of fields that break Lorentz invariance, physical instantaneous interactions are possible. Such interactions are studied for a model of Lorentz-violating massive gravity.     

Ne-CH4分子间相互作用势的局域密度近似计算

利用基于密度泛函理论框架下的局域密度近似方法对Ne-CH4分子间的相互作用势进行了计算. 发现: 当Ne原子和CH4分子之间的距离约为5.8 a.u.时, 计算的势能曲线存在最小值, 对应的势阱深度约为0.053 eV. 计算结果与实验值符合较好.     

Cluster properties of lattice and continuous systems

Various strong decay properties are proved for lattice systems with generaln-body interactions, and for continuous systems with two-body andn-body interactions. The range of the potentials is finite or infinite.Equipe de Recherche du C.N.R.S. 174.     

One-boson-exchange potential and effective interaction

Two one-boson-exchange potentials (OBEP) previously constructed by the authors are employed for deriving density-dependent local effective interaction potentials for use in finite nuclei. The definition of the effective interaction is based on nuclear matter Brueckner theory and is equivalent to that given by Siemens. The mathematical formalism and numerical methods, however, are different from former work, as most of the calculations in this work take place in the momentum space, where the OBEP are given. The resulting effective interactions are compared to that based on the Reid soft-core potential. The density dependence of the different effective interactions is demonstrated over a vast range.     

Soft-core model for ionic crystals normal ionic salts and superionic conductors

Soft-core potentials are assumed for the pair interactions between ions, and with the Lennard-Jones and Devonshire cell theory, the conditions for the occurrence of sublattice melting as a transition from the normal crystalline to the super-ionic phase are obtained.     

Semi-infinite matter and the nuclear surface

The surface energy and thickness of semi-infinite nuclear matter are calculated by Swiatecki's variational method. Smooth, effective two-body interactions are used to study the relationship between the characteristics of each interaction and the predicted bulk surface properties. Both local and non-local Gaussian interactions are considered and are adjusted to either saturate infinite nuclear matter or to fit two-nucleon (singlet-even) phase shifts. Purely local potentials are found to give an excessively large surface energy ( ), whereas potentials having some non-locality (even if the non-locality is confined to short distances) reduce the surface energy to a reasonable value of (20–30) . The separate potential and kinetic energy contributions are examined in detail and are used to explain how the character of each interaction affects the surface properties. This model calculation shows that the surface energy is greatly influenced by non-locality. Also, we find that the predicted surface thickness tends to be too large (t ≈ 3.5 fm) for potentials that are adjusted to saturate and too small (t ≈ 1.8 fm) for potentials that are fitted to two-nucleon phase-shifts.     

Ionic Interactions in a Polarizable Dipolar Hard-Sphere Solvent

Potentials of mean forces of ions in infinitely diluted solutions are calculated by means of a general virial expansion for systems with short and long range interactions. The screened potentials are calculated by the MSA-approximation for the chain sum in the mixture model.