QCD correction to the leptonic decay rate ofD-wave vector mesons

We show that the first order QCD correction to the leptonic decay rate of heavy quark-antiquark³ D ₁ bound state is identical to that for a³ S ₁ state. Some phenomenological implications of this suppression are also discussed.     

The Coulomb correction to electron pair production by intermediate-energy photons

The Coulomb correction to the total cross section for intermediate-energy pair production is evaluated in terms of a high-energy-expansion formula, with the Davies-Bethe-Maximon correction as the leading term, followed by terms proportional to k^?1ln²k, k^?1lnk, k^?1 etc., the coefficients of which are determined by fitting to the Øverb?-Mork-Olsen exact low-energy results. The formula is estimated to be accurate within a few tenths of a per cent for photon energies between 3.5 m_ec² and infinity.     

Weak correction to the muon magnetic moment in a gauge model

The weak correction, a_μ^w, to the anomalous magnetic moment of the muon is calculated in an SU(2) ? U(1) ? U(1) gauge model of weak and electromagnetic interactions. The R_ξ gauge is used and Ward-Takahashi indentities are utilized eliminating all ξ-dependence before the loop integration is performed. a_μ^w,expt places no constraint on the mass of one of the neutral vector mesons, which may be arbitrarily small.     

CUDA accelerated method for motion correction in MR PROPELLER imaging

In PROPELLER, raw data are collected in N strips, each locating at the center of k-space and consisting of M_x sampling points in frequency encoding direction and L lines in phase encoding direction. Phase correction, rotation correction, and translation correction are used to remove artifacts caused by physiological motion and physical movement, but their time complexities reach O(M_x × M_x × L × N), O(N × R_A × M_x × L × (M_x × L + R_N × R_N)), and O(N × (R_N × R_N + M_x × L)) where R_N × R_N is the coordinate space each strip gridded onto and R_A denotes the rotation range. A CUDA accelerated method is proposed in this paper to improve their performances. Although our method is implemented on a general PC with Geforce 8800GT and Intel Core(TM)2 E6550 2.33 GHz, it can directly run on more modern GPUs and achieve a greater speedup ratio without being changed. Experiments demonstrate that (1) our CUDA accelerated phase correction achieves exactly the same result with the non-accelerated implementation, (2) the results of our CUDA accelerated rotation correction and translation correction have only slight differences with those of their non-accelerated implementation, (3) images reconstructed from the motion correction results of CUDA accelerated methods proposed in this paper satisfy the clinical requirements, and (4) the speed up ratio is close to 6.5.     

Coulomb correction due to the true nonlocality of the optical-model potential

We show that the value currently used for the Coulomb correction is approximately 30 percent too small, mainly because it includes a spurious contribution from the dynamical energy dependence of the optical potential. This observation brings in good agreement the empirical values of the symmetry potential U₁ (≈ 16 MeV) determined respectively from neutron and from proton scattering data.     

Kerr-Newman黑洞的熵修正

基于Majhi等人最近的工作,利用狄拉克方程,在半经典近似外讨论了Kerr-Newman黑洞的熵修正.在单位制G=c=kB=1下,由于普朗克常数与普朗克长度,普朗克质量和普朗克电荷的平方成正比,作用量的量子修正项与半经典项的比例常数被选为(Mrh-Q2/2)-1.结合视界方程的微分形式和黑洞热力学第一定律,本文得到了荷电稳态黑洞的修正熵并发现修正项同样包括Bekenstein-Hawking熵的对数项和倒数项.     

In situ correction of windows’ linear birefringence in ellipsometry measurements

Exact method for in situ correction of windows’ linear birefringence in ellipsometry measurements with an isotropic sample is presented. The method is based on the idea that an unpolarized light is unaffected by a retarding optical element. An optical system was built, in order to simulate an ellipsometry measurement cell with windows with large retardation. The system consisted of two configurations, an “ideal” configuration in which optical retarders were used as windows, and a real life configuration in which sapphire slabs were used as windows. For the measurements with sapphire windows, the ellipsometric parameters of the gold mirror and the nickel foil without the correction yields (ψ,Δ)_Au=(0.66(±0.005),1.56(±0.05)),(ψ,Δ)_Ni=(-0.713(±0.005),1.4(±0.05)). While after the correction the parameters yields (ψ,Δ)_Au=(0.704(±0.006),2.15(±0.1)),(ψ,Δ)_Ni=(0.619(±0.005),2.33(±0.05)), which are in good agreement with our calibration measurements: (ψ,Δ)_Au=(0.709(±0.005),1.98(±0.06)) and (ψ,Δ)_Ni=(0.615(±0.005),2.32(±0.05)).     

Zero-temperature equation of state of metals in the statistical model with density gradient correction

The density gradient correction to kinetic energy (nine times smaller than the original von Weizsäcker correction) has been used within local density formalism to calculate the cold compression curve of metals. Numerical results are reported for Li, Be, Al and Cu. The modifications to the Thomas-Fermi-Dirac (TFD) results strongly depend, in the low compression range (?/?₀ ? 5), on the electron density of the material. The relative difference between the pressures in the present model and the TFD model regularly decreases with increasing compression, suggesting that TFD is reliable for ?/?₀ ? 50 in Li, ??₀ ? 20 in Be and Al and ?/?₀ ? 10 in Cu.     

The impact of physiologic noise correction applied to functional MRI of pain at 1.5 and 3.0 T

This study quantified the impact of the well-known physiologic noise correction algorithm RETROICOR applied to a pain functional magnetic resonance imaging (FMRI) experiment at two field strengths: 1.5 and 3.0 T. In the 1.5-T acquisition, there was an 8.2% decrease in time course variance (σ) and a 227% improvement in average model fit (increase in mean R²_a). In the 3.0-T acquisition, significantly greater improvements were seen: a 10.4% decrease in σ and a 240% increase in mean R²_a. End-tidal carbon dioxide data were also collected during scanning and used to account for low-frequency changes in cerebral blood flow; however, the impact of this correction was trivial compared to applying RETROICOR. Comparison between two implementations of RETROICOR demonstrated that oversampled physiologic data can be applied by either downsampling or modification of the timing in the RETROICOR algorithm, with equivalent results. Furthermore, there was no significant effect from manually aligning the physiologic data with corresponding image slices from an interleaved acquisition, indicating that RETROICOR accounts for timing differences between physiologic changes and MR signal changes. These findings suggest that RETROICOR correction, as it is commonly implemented, should be included as part of the data analysis for pain FMRI studies performed at 1.5 and 3.0 T.     

Dispersive effects and correction term in two-mode phonon conduction model for Ge

A complete analysis of the phonon conductivity κ, still lacking in the literature, is presented in the two-mode conduction model for Germanium. First a method is derived from which the correction term κ_c of the Callaway model is separated into its longitudinal and transverse parts and then the effects of strong phonon dispersion and the role of longitudinal and transverse phonons on κ_c are studied. For this purpose we have also proposed some new empirical expressions for the three phonon relaxation rates τ_3ph⁻¹'s which are valid in the entire temperature range. This improvised model, when applied simultaneously to the phonon conductivity data of both normal and enriched Ge, yields some new results. These are (i) κ_c neglected by the earlier workers in the two-mode phonon conduction model, gives a substantial contribution beyond the conductivity maximum and (ii) the longitudinal phonons are the major carriers of heat at high temperature.     

Self-energy correction to the wave function in the effect of parity violation for the amplitude of the 6s–7s transition in the 133Cs atom

The quantum electrodynamic self-energy correction to the wave function in the effect of parity violation for the amplitude of the 6s–7s transition in the ¹³³Cs atom is calculated in explicit form without using the nonrelativistic approximation for the self-energy operator. The result obtained refines some previous estimates and indicates that the correction to the parity violation may be comparable with the corresponding correction to the vacuum polarization. The necessity of taking complete relativistic account of all the quantum electrodynamic corrections in calculations of the electroweak charge Q _W in atomic systems is shown.     

Thermal correction to resistivity in dilute Si-MOSFET two-dimensional systems

Neglecting electron-electron interactions and quantum interference effects, we calculate the classical resistivity of a two-dimensional electron (hole) gas, taking into account the degeneracy and the thermal correction due to the combined Peltier and Seebeck effects. The resistivity is found to be a universal function of the temperature, expressed in units of (h/e²)(k_Fl)^?1. Analysis of the compressibility and thermopower points to the thermodynamic nature of the metal-insulator transition in two-dimensional systems. We reproduce the beating pattern of Shubnikov-de Haas oscillations in both the crossed field configuration and Si-MOSFET valley splitting cases. The consequences of the integer quantum Hall effect in a dilute Si-MOSFET two-dimensional electron gas are discussed. The giant parallel magnetoresistivity is argued to result from the magnetic-field-driven disorder.     

Vertex correction of the anisotropic magnetic impurities to the spin polarization of 2D electron gas

In terms of Kubo's formula and Green's function method, for the two-dimensional electron gas (2DEG) with Rashba spin-orbit coupling (SOC), we study the spin polarization due to the effect from magnetic impurities with anisotropic spin dependent delta type coupling to electrons when an external dc electric field in plane is applied. The vertex correction of impurities in ladder approximation is carried out in the limit of EF?1/τ, Δ. We find that the strength of spin polarization can be significantly modified by vertex correction and the spin polarization is relevant to the anisotropy coefficient γ, but the direction of net spin polarization cannot be changed.     

Relativistic correction to the deuteron magnetic moment and angular condition

The relativistic correction (RC) to the deuteron magnetic moment is calculated using the light-cone dynamics. The restrictions imposed by the angular condition on the electromagnetic current operator of the deuteron are discussed in detail. It is shown that the additive model for the current operator of interacting constituents is consistent with the angular condition only for the two first terms of the expansion of the “good” current component $\text{j}{}_{\mathrm{+}}\text{=}\text{1}\text{2}\text{(j}{}_0\text{+ j}{}_{\mathrm{<mtext>z</mtext>}}\text{)}$ in powers of the momentum transfer q. The RC to μ_d is expressed through the matrix element of the “good” component j₊ and is found to be equal to $\text{(0.6–0.8) × 10}{}^{\mathrm{?2}}\text{e}\text{h}\text{?}\text{/2m}{}_{\mathrm{<mtext>p</mtext>}}\text{c}$ for realistic NN potentials. Taking account of RC decreases essentially the discrepancy between the theoretical and experimental values of μ_d. Possible solutions of the angular condition for squared q-terms of the j₊ current component are also discussed.     

Peltier-effect-induced correction to ohmic resistance

The standard ohmic measurements by means of two extra leads contain an additional thermal correction to resistance. The current results in heating (cooling) at the first (second) sample contact because of the Peltier effect. The contact temperatures are different. The measured voltage is the sum of the ohmic voltage swing and the Peltier-effect-induced thermoelectromotive force that is linear in the current. As a result, the thermal correction to the resistance measured exists as I→0. The correction could be comparable with the ohmic resistance. Above some critical frequency depending on thermal inertial effects, the thermal correction disappears.     

Quantum power correction to the Newton law

A graviton contribution to the one-loop quantum correction to the Newton law is found. This correction corresponds to an interaction decreasing with distance as 1/r³, in which the graviton contribution numerically dominates. Previous calculations of this contribution to the discussed effect are demonstrated to be incorrect.     

Coulomb correction to Delbrück scattering investigated atZ=94

Differential cross sections for the elastic scattering of 2.754 MeV photons by Pu were measured for angles ranging from 45 to 120° and interpreted in terms of Delbrück, nuclear Thomson, Rayleigh and nuclear resonance scattering. It is shown that the largest part of the discrepancy between experiment and the lowest-order Delbrück theory can be removed by introducing a (Zα)⁴-dependent Coulomb correction term. Evidence is obtained for additional Coulomb correction terms of higher order in (Z α).     

High-twist correction for inclusive hadron production in photon-photon collisions

The contribution of the QCD high-twist subprocess γq→πq′ to the inclusive cross section for e⁺ e^? → e⁺ e^? + π^± + X is calculated both in the PETRA/PEP and the LEP energy range, in the equivalent-photon approximation. Superposed on the Born cross section and its O(α_s) correction, it gives agreement with the data at relatively low transverse momenta. It is suggested that this high-twist contribution may be further isolated experimentally by triggering simultaneously on both a fast hadron and the opposite-side jet.     

Optimum correction conditions for aberration-corrected HRTEM SiC dumbbells chemical imaging

Over the last decade, the spatial resolution of transmission electron microscopes has been considerably improved thanks to the development of aberration correctors. At the same time, image interpretation has become easier as the influence of instrument aberrations on image intensity has been reduced for phase contrast imaging. New aberration-corrected microscopes now offer the possibility to extract both the structural and the chemical information from a quantitative analysis of the image's contrast, which is promising in many fields of materials science where knowledge of the chemical content at the atomic scale is crucial. However, appropriate imaging conditions must be used for a quantitative analysis of the image at the sub-angström scale. In this paper, we focus on the impact of chromatic and geometric aberrations on phase contrast and we compare the advantages offered by the few optimum imaging conditions proposed in the literature. Effects of residual aberrations are also considered while the influence of chromatic aberration correction in future C_s/C_c-corrected instruments is emphasized. A critical value of C_c is given depending on the instrumental parameters. Silicon carbide imaging using a C_s-corrected microscope is presented and illustrates the assessments derived from the theoretical study of residual aberration influence on phase contrast imaging.