Effect of the confined gluons in quark-quark interaction

On the basis of a successful phenomenological current confinement model for gluons we have obtained a closed analytical expression for the confined gluon propagator (CGP) for the specific small frequencies in the co-ordinate space using a translationally invariant ansatz. We have also derived compact expression for generalm-dimensional harmonic oscillator ‘propagator’ for specific energies. Using the CGP the complete expression for the one gluon exchange potential (COGEP) between the quarks has been derived using the Fermi-Breit formalism which will be useful in the study of hadron spectroscopy and hadron-hadron interactions. TheN - Δ splitting is calculated using the spin-spin part of the COGEP.     

Singlet N-N scattering with exchange of confined gluons among relativistic quark clusters

Confined-gluon-exchange among relativistically confined quark clusters is used to obtain singlet S and P wave N-N scattering phase-shifts. A good agreement is obtained with the experimental results.     

Dynamics of confined quantum fluids

We examine the static and dynamic properties of liquid ⁴He in confined geometries. Confinement is modeled by placing the liquid between two rigid, attractive walls with strengths corresponding to Geltech, Vycor, or glass. The liquid arranges itself in a series of layers, with increasing areal density it undergoes a sequence of layering transitions familiar from classical fluids. We identify “bulk” excitations that propagate throughout the film, and “layer” excitations that propagate only close to the substrate. Both have the typical phonon-roton dispersion relation, but the energy of the layer-roton minimum depends sensitively on the substrate strength, thus providing a mechanism for a direct measurement of this quantity. Bulk-like roton excitations are largely independent of the interaction between the matrix and the helium atoms. While the bulk-like rotons are very similar to their true bulk counterparts, the layer modes are not in close relation to two-dimensional rotons and should be regarded as a completely independent kind of excitation.     

Dynamics of argon in confined geometry

The role of geometrical confinement on the dynamics of argon is studied. We have investigated ³⁶Argon adsorbed in nanoporous Gelsil glass by inelastic neutron scattering. By fractional filling the `dimensionality' of the system is tuned from a two-dimensional towards the bulk state. Ab-initio calculations of plane sheets of Ar atoms and of bulk Ar are compared to the experimental results. A shift of various phonon modes to lower energies with decreasing dimensionality is observed in the results of both methods.     

Spin observables of the NN interaction in a relativistic harmonic model with confined gluons and mesons

Polarization observables for the nucleon-nucleon (NN) scattering are investigated in the frame work of relativistic harmonic model belowE _lab=250 MeV, with the inclusion of theσ andπ meson exchange. The results can be interpreted as the ‘Cheshire cat principle’ of NN interaction.     

Dynamics of layering transitions in confined liquids

Multiple beam interferometry and video microscopy were used to investigate the layering transition of thin liquid films of 1-undecanol confined between atomically smooth mica surfaces. The expulsion of a molecularly thin lubricant layer was followed directly in two dimensions. Overall, the dynamics of the transition follows theoretical predictions based on two-dimensional hydrodynamics. Frequently, pockets of liquid remain trapped inside the contact area at the end of the transition. The trapped pockets undergo shape transformations to minimize elastic and interfacial energy.     

Dynamics of confined water in different environments

We report dielectric and calorimetric results on water solutions of poly (vinyl methyl ether) (PVME), poly(vinyl pyrrolidone) (PVP) and pentaethylene glycol (5EG). In spite of the fact that water is confined in different environments, the results are very similar for the three investigated systems, which suggest a general behaviour for confined water.     

Dynamics of vortex dipoles in confined Bose-Einstein condensates

We present a systematic theoretical analysis of the motion of a pair of straight counter-rotating vortex lines within a trapped Bose-Einstein condensate. We introduce the dynamical equations of motion, identify the associated conserved quantities, and illustrate the integrability of the ensuing dynamics. The system possesses a stationary equilibrium as a special case in a class of exact solutions that consist of rotating guiding-center equilibria about which the vortex lines execute periodic motion; thus, the generic two-vortex motion can be classified as quasi-periodic. We conclude with an analysis of the linear and nonlinear stability of these stationary and rotating equilibria.     

Collective excitations of gluons

Three gauge invariant antisymmetric tensor fields are introduced in the nonabelian gauge theories. They are certain non-linear combinations of the conjugate field tensor and they obey O(3) algebra. An effective chiral lagrangian for these fields is derived. It describes 3 vector and 3 axial mesons with vacuum quantum numbers. The masses are generated by spontaneous restoration of Lorentz invariance.     

Dynamics of a polymer chain confined in a membrane

We present a Brownian dynamics theory with full hydrodynamics (Stokesian dynamics) for a Gaussian polymer chain embedded in a liquid membrane which is surrounded by bulk solvent and walls. The mobility tensors are derived in Fourier space for the two geometries, namely, a free membrane embedded in a bulk fluid, and a membrane sandwiched by the two walls. Within the preaveraging approximation, a new expression for the diffusion coefficient of the polymer is obtained for the free-membrane geometry. We also carry out a Rouse normal mode analysis to obtain the relaxation time and the dynamical structure factor. For large polymer size, both quantities show Zimm-like behavior in the free-membrane case, whereas they are Rouse-like for the sandwiched membrane geometry. We use the scaling argument to discuss the effect of excluded-volume interactions on the polymer relaxation time.     

Dynamics and phase behaviour of materials in confined geometry

Phase transitions and dynamics of the liquid crystal MBBA [N-( p-methoxybenzylidene)-p-n-butylaniline] microconfined within porous glasses of average pore diameters: 82 and 337 Å were investigated by ¹H Nuclear Magnetic Resonance (NMR). Confinement is found to favour the depression of phase transition temperatures below the corresponding transitions of bulk MBBA. Confinement induces further effects for the molecular dynamics related to the phase investigated. The correlation times of the molecular motions were obtained and the results are discussed by making comparison with the bulk analysis.     

Dynamics of confined excitons and biexcitons of CuCl quantum dots

We investigated the dynamics of confined excitons and biexcitons in CuCl quantum dots in an NaCl matrix by using subpicosecond pump and probe absorption spectra, and time-resolved luminescence spectra. Then temporal changes of the absorption, optical gain, and luminescence are interpreted in relation to the exciton dynamics. The optical nonlinearity is discussed in terms of the exciton-exciton interaction in the quantum dot.     

Confinement models for gluons

Confinement model for gluons using a ‘colour super current’ is formulated. An attempt has been made to derive a suitable dielectric function corresponding to the current confinement. A simple inhomogeneous dielectric confinement model for gluons is studied for comparison. The model Hamiltonians are second quantized and the glueball states are constructed. The spurious motion of the centre of confinement is accounted for. The results of the current confinement scheme is found in good agreement with experimental candidates.     

Soft gluons and factorization

We clarify the role of soft gluons in hard inclusive hadron-hadron cross sections, emphasizing the mechanisms by which they decouple from the incoming hadrons and cancel.     

Dynamics of propylene glycol and its oligomers confined in clay

The dynamics of propylene glycol (PG) and its oligomers 7-PG and PPG, with (about 70 monomers), confined in a Na-vermiculite clay have been investigated by quasi-elastic neutron scattering and dielectric spectroscopy. The liquids are confined to a single molecular layer between the clay platelets, thus giving a true 2D liquid. The results show that the average relaxation time , deduced from neutron scattering at a momentum transfer Q of about , is in perfect agreement with the dielectric -relaxation time, although neutron scattering does not only probe the main ( -) relaxation, but all motions of hydrogens on the experimental time scale. At room temperature is proportional to Q ², indicating that the relaxations are mainly due to ordinary translational diffusion. The most unexpected finding is that (or the dielectric -relaxation time) is almost unaffected by the 2D confinement, in contrast to the dielectrically active normal mode of PPG which is substantially slower in the confinement. Only the 7-mer has a significantly slower segmental translational diffusion in the clay. The results suggest that the interactions to the clay surfaces are weak and that the present 2D confinement has a very small influence on the time scale of all our observed relaxation processes, except the normal-mode relaxation.Received: 1 January 2003, Published online: 8 October 2003PACS: 61.25.Em Molecular liquids - 68.35.Ja Surface and interface dynamics and vibrations - 61.12.-q Neutron diffraction and scattering     

Topological “vector gluons”

It is shown that the axion can be made invisible in the family-unifyingSU(9) model and that all the light fermions become massive due to the radiative correction.     

Medium-induced emissions of hard gluons

We present a derivation of the medium-induced gluon radiation spectrum beyond the current limitation of soft gluon emission. Making use of the path integral approach to describe the propagation of high-energy particles inside a medium, we study the limiting case of a hard gluon emission. Analytical and numerical results are presented and discussed within the multiple soft scattering approximation. An ansatz interpolating between soft and hard gluon emissions is provided. The Landau–Pomeranchuk–Migdal effect is observed in the expected kinematic region.     

Elastic forward scattering of gluons

The colour octet and singlet parts of the elasticgggg-scattering amplitude are evaluated in the Regge kinematical regions–t in the LLA, withi-terms taken into account, by constructing and solving a set of the infrared evolution equations.This work was supported, in part, by a Soros Foundation Grant awarded by the American Physical Society