General relativity and gauge theories

The theory of general relativity is presented in the form of a gauge field theory by use of the group SL(2,C). The following topics are discussed: (1)Spinor representation of the group SL(2,C); (2)Connection between spinors and tensors; (3)Maxwell, Weyl and Riemann Spinors; (4)Classification of Maxwell spinor; (5)Classification of Weyl spinor; (6)Isotopic spin and gauge fields; (7)Lorentz invariance and the gravitational field; (8)SL(2,C) invariance and the gravitational field; (9)Gravitational field equations.     

Non-Fermi-liquid behavior of impurity spins in the anisotropic Heisenberg chain

We consider a U(1)-invariant model consisting of the integrable anisotropic Heisenberg chain of arbitrary spin S embedding an impurity of spin S′. The impurity is assumed located on the mth link of the chain and interacting only with both neighboring sites. The coupling of the impurity to the lattice can be tuned by the impurity rapidity. The model is then integrable as a function of two continuous parameters (the anisotropy and the impurity rapidity) and two discrete variables (the spins S and S′). The thermodynamic Bethe ansatz equations are derived and used to analyze the small field and low temperature properties. Three situations have to be distinguished: (i) If S′ = S the impurity just corresponds to one more site in the chain. (ii) If S′ > S the impurity spin is only partially compensated at T = 0 and the entropy has an essential singularity at T = H = 0. (iii) If S′ < S the impurity is overcompensated, and again the entropy has an essential singularity at T = H = 0. The essential singularity gives rise to a quantum critical point and hence non-Fermi-liquid-like behavior as H and T tend to zero. While cases (i) and (iii) are analogous to the n-channel Kondo problem, case (ii) differs considerably as a consequence of critical behavior induced by the anisotropy.     

Effective-potential model for the self-interacting gluon gas

The thermodynamic behaviour of a pure gluon-plasma is investigated within the context of an effective-interaction model and the relativistic Landau theory of quantum liquids. Agreement is sought withSU (2) andSU (3) lattice computer simulations and asymptotic perturbation theory. For bothSU (2) andSU (3) the available data are fitted rather well by a logarithmically screened Coulomb potential. The difference in critical behaviour ofSU (2) andSU (3) can also be modelled. Contact is made with the Bare Bones bag model, yielding a bag pressure ofB ^1/4≈200 MeV.     

Mass splitting in SU(4)

A simple and rather general way to break SU(4) is to assume that the mass operator consists of a term which transforms as a scalar in the subgroup SU(3)_c (which operates on u, d, and s quarks) and a term which transforms as a scalar in SU(3)_s (which operates on u, d, and c). It is shown that this leads to a number of parallelogram laws between the masses. The generalized Okubo assumption falls within this framework and leads directly to Gell-Mann-Okubo relations between multiplets in the two subgroups. The specific SU(4) assumption of Okubo and others is a still further restriction. This group theoretic approach is compared with the results of the quark model.     

Three-photon excited PL spectroscopy and photo-generated Frenkel defects in wide-bandgap layered CdI2 semiconductors

We performed a three-photon excitation nonlinear photoluminescence (PL) spectroscopy in single crystals of wide-bandgap semiconductors (WBSs). The crystal temperature (TL)-dependent PL emission intensity (IPL) excited with different excitation power density (P) was measured. The PL emissions showed characteristics IPL with their maxima at around 520 nm. The IPL might be due to the presence of the photo-generated Frenkel defects (FDs) in WBSs. A detailed analysis of the PL spectra showed a third-order power law dependence of the maximum IPL on P for all the crystal temperature TL. The IPL was found to increase with decreasing TL. The results demonstrated the existence of the self-trapped excitons resulting from the presence of the FDs in the crystals.     

N = 3 and N = 1 supersymmetry in a new class of solutions for d = 11 supergravity

We present a new class of compactifying solutions for d = 11 supergravity. The internal 7-spaces are described by coset manifolds N^pqr of the form SU(3) × U(1)/U(1) × U(1). The three integers p, q, r characterize the embedding of the stability subgroup U(1) × U(1) in SU(3) × U(1).Their supersymmetry content is quite remarkable. For a particular choice of p, q, r the isometry of N^pqr is SU(3) × SU(2): in this case we find that N = 3 supersymmetry survives. For all the other values of p, q, r, supersymmetry is broken to N = 1, and the isometry group is SU(3) × U(1).We also find a class of solutions with internal photon curl F_αβγδ ≠ 0, breaking all supersymmetries.     

Resonance effects in photoemission from Si- and P-covered Fe(100) surfaces at the 3p- and 3s-thresholds

The photon energy dependences of the valence-band photoemission spectra of Fe(100)c(2×2)-Si and Fe(100)c(2×2)-P surfaces have been measured in the vicinity of the Fe 3p photothreshold to investigate the existence of valence-band satellites. For Fe(100)-P, the spectra near the 3s threshold were also investigated. The results demonstrate that the main d-band emission exhibits an interference variation characteristic of a Fano resonance near both thresholds. For Fe(100)-Si and Fe(100)-P, resonant satellites are observed at 6.0 eV and 6.3 eV, respectively, below the Fermi level at the 3p threshold. We also find a very weak satellite at 7.3 eV for Fe(100)-P near the 3s threshold. The possibility that this may be identified as a shake-up excitation with two 3d holes plus one 4p electron is considered.     

Beyer’s non-linearity parameter (B/A) in benzylidene aniline Schiff base liquid crystalline systems

The non-linearity parameter B/A is estimated for a number of liquid crystal materials of the type N-(p-n-alkoxy benzylidene)-p-n-alkyl anilines, popularly known as nO.m, where n and m are the aliphatic chains on either side of the rigid core, which can be varied from 1 to 18 to realize a number of LC materials with a variety LC phase variants. The B/A values are computed from both density and sound velocity data following standard relations reported in literature. This systematic study in a homologous series provides an opportunity to study how this parameter behaves with (1) either the alkoxy and/or alkyl chain number, (2) with the total chain number (n+m), (3) with increase in molecular weight and (4) whether the linear relations reported in literature either with αT [thermal expansion coefficient (α) and temperature (T)] and sound velocity (u) will hold good or not and if so to what extent. The results are discussed with the body of data available in literature on liquids, liquid mixtures and other LC materials.     

Dynamic phase transitions in the kinetic spin-1 Blume-Capel model on the Bethe lattice

The stationary states of the kinetic spin-1 Blume-Capel (BC) model on the Bethe lattice are analyzed in detail in terms of recursion relations. The model is described using a Glauber-type stochastic dynamics in the presence of a time-dependent oscillating external magnetic field (h) and crystal field (D) interactions. The dynamic order parameter, the hysteresis loop area and the dynamic correlation are calculated. It is found that the magnetization oscillates around nonzero values at low temperatures (T) for the ferromagnetic (F) phase while it only oscillates around zero values at high temperatures for the paramagnetic (P) phase. There are regions of the phase space where the two solutions coexist. The dynamic phase diagrams are obtained on the (kT/J,h/J) and (kT/J,D/J) planes for the coordination number q=4. In addition to second-order and first-order phase transitions, dynamical tricritical points and triple points are also observed.     

Microwave spectrum,quadrupole coupling constants,and barrier to internal rotation of 2-iodopropene

The microwave spectrum of 2-iodopropene has been investigated between 7.7 and 18 GHz. The measured transition frequencies of the ground and two vibrationally excited states have been analyzed using direct diagonalization of the rotational and quadrupole Hamiltonian. The following rotational and quadrupole coupling constants have been determined in a leastsquares fit for the ground state: A = 9285.153(20) MHz; B = 2337.2198(14) MHz; C = 1887.5871(14) MHz; and χ_cc = ?1820.783(33) MHz; χ_ab = 147.5(10) MHz; χ_bb = 957.018(41) MHz; and χ_cc = 863.765(40) MHz. The quadrupole coupling constants have been transformed to their principal axis system. From the splittings of some transitions of the first torsionally excited state a value of V₃ = 905(3) cm^?1 has been found for the threefold barrier hindering the internal rotation of the methyl group.     

The decay of115 mIn

The decay of^115m In has been investigated using accurate counting methods. The emission rate of conversion electrons plusβ ^?-particles was determined with a 4π proportional flow counter. The total andK-shell internal conversion coefficients of the 336 keVγ-ray in¹¹⁵In were measured by the electron X-ray coincidence method using combinations of a Si surface barrier with a NaI(Tl) detector and of a magneticβ-spectrometer with a high energy resolution Si(Li) detector, respectively. The conversion ratioR=K/(L+M+...) was deduced from electron spectra recorded with the magneticβ-spectrometer. The 336 keVγ-ray emission rate of all used sources was determined with a calibrated NaI(Tl)γ-ray spectrometer. A Ge(Li) detector has been used to determine the relative intensity of the 497 keVγ-ray in¹¹⁵Sn. As results have been deduced the 336 keVγ-ray emission per decay (N _γ1/N ₀=(45.9 ± 0.1)%), the total internal conversion coefficient (α=1.073 ± 0.014), theK-shell internal conversion coefficient (α _K=0.843±0.012), the conversion ratioR=3.63±0.07, theβ ^?-transition per decay going to the ground state (N _β1/N ₀=(5.0 ± 0.7)%) and to the first excited level in¹¹⁵Sn¹¹⁵Sn(N _β2/N ₀=(0.047 ± 0.002)%), and the 497 keVγ-ray emission (N _γ2/N _γ1=(0.103 ± 0.004)%). From the obtained internal conversion data it follows that the 336 keVγ-ray transition is ofM4 character with anE5 admixture of less than (3.5±1.5)%. The half-life of the isomeric state¹¹⁵ mIn has been determined with four different methods. The result isT _1/2=(4.486±0.004) h.     

Structural and some electrophysical properties of the solid solutions Si1 − x Sn x (0 ≤ x ≤ 0.04)

Films of the solid solutions Si_{1 ? x} Sn _x (0 ≤ x ≤ 0.04) on Si substrates have been grown by liquid phase epitaxy. The structural features of the films have been investigated using X-ray diffraction. The temperature behavior of current-voltage characteristics and the spectral dependence of the photocurrent for the heterostructures p-Si-n-Si_{1 ? x} Sn _x (0 ≤ x ≤ 0.04) have been analyzed. The grown epitaxial films of the solid solutions Si_{1 ? x} Sn _x (0 ≤ x ≤ 0.04) have a perfect single-crystal structure with a (111) orientation and a subgrain size of 60 nm. In the epitaxial films at the Si-SiO₂ interfaces between silicon subgrains and SiO₂ nanocrystals, where there are many sites with a high potential, the Sn ions with a high probability substitute for the Si ions and encourage the formation of Sn nanocrystals with different orientations and, as follows from the analysis of the X-ray diffraction patterns, with different sizes: 8 nm (for the (101) orientation) and 12 nm (for the (200) orientation). The current-voltage characteristics of the heterostructures p-Si-n-Si_{1 ? x} Sn _x (0 ≤ x ≤ 0.04) are described by the exponential law J = J ₀exp(qV/ckT) at low voltages (V < 0.2 V) and the square law J = (9qμ _p τ _p μ _n N _d /8d ³)V ² at high voltages (V > 1 V). These results have been explained by the drift mechanism of charge carrier transport in the electrical resistance relaxation mode.     

High SNR approximation for performance analysis of two-way multiple relay networks

Signal-to-Noise Ratio (SNR) is the key parameter in the performance evaluation of Two-Way, Amplify-and-Forward, Multiple-Relaying (TAF-MR) networks. This paper introduces new methods that use high SNR (HSNR) level approximations to analyze accurately the Bit Error Rate (BER), optimize the Relay Location (RL), and balance the energy efficiency (EE) and spectral efficiency (SE) of such networks. We consider a flat-fading channel and a strategy for selecting a relay with the highest SNR. Standardized BER expressions are obtained for a wide range of SNRs (low, high, and optimal) to yield more accurate predictions of the BER performance. Thus, by using HSNR, a unified analysis for calculating the Asymptotic BER (ABER) and the exact BER (EBER) performance is developed. The optimal SNR level is obtained by optimizing the power of network sources, which include the relay and user powers. Further, we propose a method for integrating the RL with the balancing of the EE and SE optimally to achieve the best EE improvement. The derived expressions for the methods are validated by simulation.     

Probabilities of muon induced nuclear reactions involving charged particle emission

The probabilities for the reactions (μ^?, p), (μ^?, pn), (μ^?, p2n), (μ^?, p3n) and (μ^?, α) were measured by activation experiments on 18 elements from Na to Bi. The results suggest the following systematics : (i) the probability W of each type of reaction depends on the atomic number of the target and can be described by W = aexp( -bV), where V is the Coulomb barrier of the compound nucleus for the ejected charged particle; (ii) the factor b is the same for all (μ^?, pxn) reactions and not very different for (μ^?, α) reactions; (iii) the relative probabilities for (μ^?, pxn) reactions for a given target vary as 1 :6 :4 :4 for x = 0, 1, 2, 3. The experimental results are compared with a theoretical estimate of the reaction probability and with the corresponding 14 MeV neutron induced reactions.     

Fine structure of the valence band top in a 3C BN crystal with a nanopore

The electronic band structure of a 3C BN boron nitride crystal with pores (r～0.3 nm) statistically distributed over the crystal is calculated by the local coherent potential method within the multiple scattering approximation. The valence band tops of crystalline (stoichiometric) and porous boron nitride are compared to the x-ray photoelectron spectrum (XPS) of BN and the soft x-ray emission spectra (SXES) of nitrogen. The origin of a short-wavelength shoulder in XPS, NK XES, and NK SXES of binary nitrides is discussed.     

The microwave spectrum,dipole moment,and conformation of 3-oxabicyclo(3.1.0.)hexane

The microwave spectrum of 3-oxabicyclo(3.1.0.)hexane has been studied in the range 26.5–40 GHz (R-band) with a Hewlett Packard Model 8400 spectrometer. Both a and c-type R-branch transitions were used to derive the rotational constants for the ground state and first two excited states of the ring-puckering mode. The data are consistent with a single stable conformation, in agreement with a previous far-infrared study (1) and this is shown to be the boat conformation, as was the case with the similar molecules cyclopentene oxide (2, 3) (6-oxabicyclo(3.1.0.)hexane) and 3,6-dioxabicyclo(3.1.0.)hexane (1, 4). The rotational constants for the ground state are (in MHz) A = 6038.06; B = 4432.47; C = 3303.43 yielding κ = ? 0.174268. The electric dipole moment components of the ground state (in Debye units) are |μ_a| = 1.36 ± 0.02; |μ_c| = 1.03 ± 0.02 yielding a total dipole moment μ = 1.71 ± 0.03.     

Time resolved ESR of paramagnetic defects in undoped polyacetylene

Electron spin—echo spectroscopy was applied to undoped cis/trans- and pure trans-polyacetylene. Three different types of defects, namely (1) a local defect (ld), (2) a distributed defect (dd) (trapped soliton) and (3) a highly mobile defect (md) (soliton) could be distinguished. The corresponding relaxation times T₁, T₂ are determined.     

Specific heat measurements in pure and in (Cu, Mn, Fe, Ni)-doped single-crystals of l-arginine phosphate monohydrate

The influence of highly diluted impurities (Cu, Mn, Fe, Ni) on the temperature (T) dependence of the specific heat (c_p) of l-arginine phosphate monohydrate (LAP) was investigated in the temperature range 1.8-300 K. The doped samples yielded values for c_p in excess to those obtained for a pure LAP sample. The melting temperatures (T_m≈420 K) obtained by differential scanning calorimetry for pure and doped LAP samples were found not to be significantly affected by the impurities. The T-dependence of c_p was fully accounted for by taking into consideration the Debye contribution, an Einstein term and a contribution due to both Frenkel and Schottky defects. The model fit all c_p versus T data using a single value for both the Debye (θ_D=160 K) and the Einstein (T_E=376.8 K) temperatures, and for the energy (ε_d=157.9 meV) required to create the defects.     

Physical mechanisms responsible for the relaxation time distribution in disordered dielectrics

The relaxation time distribution function F(τ) is calculated in the framework of the random-field theory. The function F(τ) is expressed through the distribution function f(E) of a random electric field E with due regard for the derived dependence of the relaxation time τ on the electric field. The distribution function F(τ) is calculated in terms of the statistical theory within the random-field approximation. The nonlinear random-field contributions and spatial effects of correlations between randomly distributed electric dipoles are taken into account. The calculations are performed for a mixed ferroelectric glassy phase in which the short-range and long-range polar orders coexist. It is demonstrated that the inclusion of nonlinear contributions of the random field leads to an asymmetric relaxation time distribution function F(τ), whereas allowance made only for the linear random-field contributions results in a symmetric function F(τ). A comparison of the calculated functions F(τ) with empirical functions derived from the Cole-Cole (CC), Davidson-Cole (DC), Kohlrausch-Williams-Watts (KWW), and Havriliak-Negami (HN) laws for the dielectric response shows that these laws correspond to disordered systems in which the long-range and short-range orders coexist. Different forms of the function F(τ) are determined by either linear (the CC law) or nonlinear (the DC, KWW, and HN laws) contributions of the random field.