Bound state spectrum from the light-cone two-body equation in φ3-theories

The relativistic bound state problem with the light-cone two-body equation (i.e. Bethe-Salpeter equation in the infinite momentum frame) is investigated in the light-cone ladder approximation to φ³-theories. A variational principle is found for the eigenvalues. Numerical results are compared with some existing calculations and with some new analytic results.     

Frequency measurements in the 10 μm spectrum of 11BCl3

This paper presents a study of the spectroscopy of ¹¹BCl₃ using the Doppler-free saturated absorption technique. Many lines in the degenerate ν₃ fundamental of this molecule have been recorded using the 10P branch of a carbon dioxide laser. The absolute frequencies of the linecentres of these absorptions have been measured to an accuracy of better than 10 kHz, using frequencies calibrated against transitions in SF₆ and OsO₄. Hyperfine structure due to the Cl nuclei was easily resolved, and more detailed structure, which may be attributed to the ¹¹B quadrupole interaction, was also seen. The splittings between individual quadrupole components were measured to an accuracy of better than 2 kHz where SF₆ references were used, and to about 8 kHz in the case of OsO₄. Peak-to-peak linewidths as low as 22 kHz have been recorded, representing the highest resolution data yet obtained for this molecule.     

Frequency measurements in the 9μm spectrum of CF3Br

Carbon dioxide laser saturation spectra of CF₃ Br have been explored with a view to hyperfine spectroscopy and references for frequency standards in the 9μm band of the carbon dioxide laser. Spectra have been obtained using the laser transitions 9R(16)-9R(30). and show many saturation features in each case. Several of the stronger features have been referenced directly to CO₂ frequencies with an estimated accuracy of 25 kHz. Spacings between the hyperfine components are also reported. This work represents some of the first data relevant to 9μm locking to molecular absorptions.     

Microwave spectrum of SiH3CCH in the 4ν10 state

The microwave spectrum of silyl acetylene in the 4ν₁₀ state has been investigated from 29 to 79 GHz. After an assignment by graphical methods deduced from approximate analytical formulas, molecular constants have been determined through an analysis by direct diagonalization. Some slight anomalies appear. A comparison is made between the constants of the different nν₁₀ states.     

The infra-red L.M.R. spectrum of SeH in the X 2Π state

Magnetic dipole transitions between the ²Π_1/2 and ²Π_3/2 components of the ground state of SeH have been observed at about 1780 cm^-1 in a L.M.R. experiment using a CO laser. Transitions have been detected for the four most abundant natural isotopes of Se. The transition frequencies depend primarily on the magnitude of the spin-orbit coupling constant and have been analysed in conjunction with data from the E.P.R. spectrum to yield

The admixture of other electronic states by spin-orbit coupling has been investigated to third order in perturbation theory and found to produce significant effects.     

Determination of the anion O-3 geometry by Franck-Condon simulations of its photoelectron spectrum

A theoretical method to calculate multidimensional Franck-Condon factors including Duschinsky effects is described and used to simulate the photoelectron spectroscopy of the anion O-3. Geometry optimization and harmonic vibrational frequency calculations have been performed on the (X～)1A1 state of O3 and (X～)2B1 state of O-3. Franck-Condon analyses and spectral simulation were carried out on the first photoelectron band of O-3. The theoretical spectrum obtained by employing CCSD(T)/6-311+G(2d,p) values are in excellent agreement with the observed one. In addition, the equilibrium geometry parameters, re(OO)= 0.135 5±0.000 5 nm and θe(O-O-O) =114.5±0.5°, of the (X～)2B1 state of O-3, are derived by employing an iterative Franck-Condon analysis procedure in the spectral simulation.     

Suppressing the disturbance in the transmission spectrum of Glan-Thompson-type prism polarizers

<正>We analyze the random disturbance in the transmission of light through a spinning Glan-Thompsontype prism polarizer.The disturbance makes the dependence of the transmission on the rotation angle significantly deviates from the Malus cosine-squared law and severely spoils the output light quality.Slight vibration of the polarizer as it rotates combing the multi-beam-interference effect raises the disturbance. Further analysis reveals the sensitive dependence of the disturbance on the composing material of the prism gap,and the appropriate selection of such material can make the disturbance minimize to very desirable levels.The model results show quite good agreement with experiments.     

Temperature dependence of the reflectance spectrum of β-(BEDT-TTF)2I3

The temperature dependence of the polarized reflectance spectrum of β-(BEDT-TTF)₂I₃ was measured over the spectral range from 750 cm⁻¹ to 25,000 cm⁻¹. The plasma frequency and the relaxation rate were obtained by analyzing the low-temperature spectra. The absolute value and the anisotropy of the optical conductivity at low temperature agree with those of the dc conductivity within the experimental error. The dimensionless electron-phonon coupling constant was estimated to be 1.6 from the temperature dependence of the relaxation rate.     

Measurement of the μ decay spectrum with the ICARUS liquid Argon TPC

Examples are given which prove the ICARUS detector quality through relevant physics measurements. We study the decay energy spectrum from a sample of stopping events acquired during the test run of the ICARUS T600 detector. This detector allows the spatial reconstruction of the events with fine granularity, hence, the precise measurement of the range and dE/dx of the with high sampling rate. This information is used to compute the calibration factors needed for the full calorimetric reconstruction of the events. The Michel parameter is then measured by comparison of the experimental and Monte Carlo simulated decay spectra, obtaining . The energy resolution for electrons below MeV is finally extracted from the simulated sample, obtaining .Received: 20 November 2003, Published online: 4 February 2004     

Wilson fermions on the lattice—A study of the eigenvalue spectrum

We have studied the eigenvalues of the Wilson fermion matrix on various lattice sizes and for a range of coupling constants, β, in the quenched approximation. The implications for the phase structure of lattice QCD in the presence of Wilson fermions are discussed.     

Analysis of the low—lying spectrum of the He—tetramer

There is a type of nodal surface imposed by symmetry on wavefunctions.These surfaces are crucial to the ordering of low-lying states.Based on an analysis of this type of surface and based on existing theoretical results,the feature of the low-lying spectrum of the He-tetramer is studied,and the candidates of bound states and narrow resonances are suggested.     

Extended analysis of the Ar VII spectrum in the vacuum ultraviolet region

The current status of the determination of corrections to the hyperfine splitting of the ground state in hydrogen is considered. Improved calculations are provided taking into account the most recent value for the proton charge radius. Comparing experimental data with predictions for the hyperfine splitting, the Zemach radius of the proton is deduced to be 1.045(16) fm. Employing exponential parametrizations for the electromagnetic form factors we determine the magnetic radius of the proton to be 0.778(29) fm. Both values are compared with the corresponding ones derived from the data obtained in electron-proton scattering experiments and the data extracted from a rescaled difference between the hyperfine splittings in hydrogen and muonium.     

First-principles investigation of the phonon spectrum of β-GaS

This paper presents the results of the first-principles density functional theory calculation of the phonon spectrum of the ??-GaS semiconductor with a layered structure. The elastic constants and velocities of sound along and across the layers of the ??-GaS semiconductor have been determined. Investigation of the equilibrium structure and the phonon spectrum of the (0001) surface of the ??-GaS crystals has demonstrated that the bulk and surface structural and dynamical properties of these crystals differ only slightly. The calculated frequencies and symmetries of phonon modes at the center of the Brillouin zone of the semiconductor are in satisfactory agreement with the experimental data obtained from the Raman and infrared spectra.     

Influence of the finiteness of particle velocity on the energy spectrum of cosmic rays in an anomalous diffusion model with Lévy flights

An estimate of the influence the finiteness of particle velocity has on the results of a fractional differential (anomalous) model of cosmic ray propagation in the Galaxy with Lévy flights developed by the authors is considered. The results from Monte Carlo simulations of particle diffusion in random walk models with finite and infinite velocities are presented. It is shown that considering particle velocity finiteness has almost no effect on the cosmic ray energy spectrum obtained for E > 1 GeV in the anomalous diffusion model with Lévy flights for nearby young sources.     

The local structure of the spectrum of the one-dimensional Schrödinger operator

Let \(H_V = - \frac{{d^{\text{2}} }}{{dt^{\text{2}} }} + q(t,\omega )\) be an one-dimensional random Schrödinger operator in ?²(?V,V) with the classical boundary conditions. The random potentialq(t, ω) has a formq(t, ω)=F(x _t ), wherex _t is a Brownian motion on the compact Riemannian manifoldK andF:K→R ¹ is a smooth Morse function, \(\mathop {\min }\limits_K F = 0\) . Let \(N_V (\Delta ) = \sum\limits_{Ei(V) \in \Delta } 1 \) , where Δ∈(0, ∞),E _i (V) are the eigenvalues ofH _V . The main result (Theorem 1) of this paper is the following. IfV→∞,E ₀>0,k∈Z ₊ anda>0 (a is a fixed constant) then $$P\left\{ {N_V \left( {E_0 - \frac{a}{{2V}},E_0 + \frac{a}{{2V}}} \right) = k} \right\}\xrightarrow[{V \to \infty }]{}e^{ - an(E_0 )} (an(E_0 ))^k |k!,$$ wheren(E ₀) is a limit state density ofH _V ,V→∞. This theorem mean that there is no repulsion between energy levels of the operatorH _V ,V→∞. The second result (Theorem 2) describes the phenomen of the repulsion of the corresponding wave functions.     

What should be the spectrum of galactic cosmic rays?

Numerous experimental data on cosmic rays sensitive to the spectrum of primary cosmic rays were analyzed in the energy range E>1 TeV. They proved to be incompatible with the pure power-law spectrum of primary particles. The spectral index of the proton spectrum is derived from the data considered. It was found to be 0.4±0.1 greater than for the nuclei with Z≥2. Therefore, the flux of galactic cosmic rays consisting of protons and nuclei with Z≥2 cannot be described by a unified power law in the energy range 0.1–10³ TeV.     

Analytic approach to the MSSM mass spectrum in the large tan β regime

In various unified extensions of the Minimal Supersymmetric Standard Model, the Yukawa couplings of the third generation are predicted to be of the same order. As a result, low energy measured mass ratios require large ratios of the standard model Higgs vacuum expectation values, corresponding to a large value of the parameter tan β. We present analytic solutions for the Yukawa couplings and the Higgs and third generation squark masses, in the case of large top and bottom Yukawa couplings. We examine regions of these Yukawas which give predictions for the top mass compatible with the present experimentally determined top mass and provide useful approximate formulae for the scalars. We discuss the implications on the radiative symmetry breaking mechanism and derive constraints on the undetermined initial conditions of the scalars.