场流关系和π+→e++ν+γ的衰变过程

本文应用由复合场场论或场代数导出的轴矢流的场流恒等式计算了π介子的辐射衰变π⁺→e⁺+ν+γ过程。计算结果与目前的实验大致相合。     

The forward-backward asymmetry ine + e −→μ+μ−

The problems involved when comparing theoretical predictions with experimental measurements of the forward-backward asymmetry ine ⁺ e ^?→μ⁺μ^? are reviewed and a model independent method for presenting future experimental results is proposed. Calculations of the one-loop radiative corrections in the standard model are compared numerically and found to be in quite good agreement. Comparisons of theory at the one-loop level are made with published experimental data, taking care properly to account for any radiative corrections which have been applied.     

Comparison of spectroscopic strategies to determine molecular geometries and the impact of nuclear versus atomic masses: the example of HCO+ and HOC+

ABSTRACT

We compare a recently proposed mixed experimental/theoretical procedure for the derivation of molecular equilibrium structures with several commonly used spectroscopic approaches using experimental data for several isotopologues. We also examine the sensitivity of the results from these approaches to the replacement of the commonly employed atomic masses with nuclear masses. This point is of particular importance for ionic species like HCO⁺ and HOC⁺ which serve as numerical reference cases. The scatter of molecular equilibrium geometries derived by different approaches is found to exceed stated statistical uncertainties by about an order of magnitude.     

Accurate theoretical vibration-rotation energies and transition moments for HD+, HT+, and DT+

In this paper we report a theoretical calculation of vibration-rotation transition wavenumbers and transition moments for HD⁺, HT⁺, and DT⁺ for v, N ≤ 5. The results for HD⁺ agree with the experimental results to within 0.015 cm^?1.     

CASPT2 study on low-lying states of HBS+ and HSB+ cations

Some low-lying states of the nine-valence-electron systems HBS⁺ and HSB⁺ cations have been studied by large-scale theoretical calculations using three methods CASSCF, CASPT2, and DFT B3LYP with the contracted atomic natural orbital and cc-pVTZ basis sets. The geometries of all stationary points along the potential energy surfaces were optimized and the energies were calculated. The potential energy curves of isomerization reactions between HBS⁺ and HSB⁺ were calculated as a function of HBS bond angle. The calculated results indicated that the ground-state HBS⁺ is linear, while the ground-state HSB⁺ is bent, which is in contradiction to Walsh's rules predicting linear structures for the HXY systems containing 10 or less valency electrons.     

Metastable Decomposition of Ar3+ Cluster Ions Into Ar2+ and Ar+

In this note we present the first account of a study of metastable (unimolecular decay) and collision-induced dissociation of Ar₃+ cluster ions using an experimental setup consisting of a molecular beam-electron impact ion source and a double focussing (reversed Nier Johnson geometry) mass spectrometer. The existence of the following metastable decay processes (accessible by our sampling time window) could be demonstrated: Ar₃⁺* → Ar₂+ and Ar₃⁺* → Ar⁺. The processes were studied as a function of electron impact energy. The present results are of importance in order to provide some guidance for the development of appropriate theoretical models for the dissociation of cluster ions.     

A theoretical study of the beta decay transitions 0− → 2+ and 0− → 0+ of the Ho166 nucleus

The theoretical beta decay observables are compared with the experimental values for the 0^? → 2⁺ and 0^? → 2⁺ transitions. By considering a Ho¹⁶⁶ ground state configuration infered from (d, p) reaction experiments, and using all the matrix elements, satisfactory results are obtained for the 0^? → 2⁺ transition. For the 0^? → 2⁺ transition an important cancellation effect has been found which determines the failure of the ξ approximation and an energy dependent spectrum shape.     

Triatomic wake effect and the determination of the molecular structure of HD2+ from the Coulomb explosion

A new theoretical model of the triatomic molecular wake effect is proposed and applied to molecular ions D+ 3 and HD+ 2 while passing through a solid.The wake effects resulting from the reactions of the two similar ions with thin carbon foil are also investigated by using the Coulomb explosion technique.The experimental results are in good agreement with theoretical estimates and the molecular structure of HD+ 2 is determined by using the model.     

Competition betweenβ +- andβ −-decays from the transitional nucleus74As

A theoretical study of theβ ⁺- andβ ^?-decays of the⁷⁴As nucleus is performed. Both non-relativistic and relativistic formfactor coefficients are calculated in the framework of the asymmetric rotor model with admixtures of two quasiparticles for transitional nuclei. The induced interactions are shown to have small contributions to the values of the formfactor coefficients in this case. The theoretical results for the principal observables are in good agreement with the experimental data in the case of the beta decays to the 2⁺ final states. The failure in describing the beta observables corresponding to the transitions to the ground states points to the existence of a more complex structure of the 0⁺-states in the daughter nuclei⁷⁴Se and⁷⁴Ge.     

An ab initio study of the electronic and geometric structures of SimCn + cationic nanoclusters

The theoretical formalism of local density approximation (LDA) to density functional theory (DFT) has been used to study the electronic and geometric structures of Si_mC_n⁺ (1≤m, n ≤4) cationic clusters. An all electron 6-311++G^** basis set has been used and complete geometry optimizations of different possible structures for a specific cluster have been carried out. Binding energies, relative energies, fragmentation energies, vibrational frequencies, and adiabatic ionization potentials of the optimized clusters have been investigated and reported in detail. Results have been compared with other experimental and theoretical results available in the literature.     

Methods of determining the magnetic penetration depth of high-κ superconductors fromμ + SR measurementsSR measurements

This paper explores several different methods of determining the magnetic penetration depth of high-κ superconductors from transverse field muon spin rotation (TFμ ⁺ SR) measurements. The methods include fitting the theoretical magnetic field distribution directly to the distribution of muon precession frequencies and calculating the penetration depth from the second or third moments of the field distribution. These three methods are discussed critically in the light of experimental noise and the effect of the superconductor's flux line lattice being distorted.     

Low–energy photodisintegration of 9Be and α+α+n→9Be +γ reactions at astrophysical conditions

A semi–microscopic model for the low–energy photodisintegration of the ⁹Be nucleus is constructed, and the experimental data are analyzed with its help. The older radioactive isotope data are supported by this analysis. The theoretical photodisintegration cross section is derived. The astrophysical rates for the reaction α+α+n→⁹Be+γ and the reverse photodisintegration of ⁹Be are calculated. The new reaction rate for α+α+n→⁹Be+γ is compared with previous estimations. Received: 19 January 1998     

Theoretical calculation of of B-like ions： photoionization cross sections N^2＋, O^3＋ and F^4＋

There can be found some notable discrepancies with regard to the resonance structures when R-matrix calculations from the Opacity Project and other sources are compared with recent absolute experimental measurements of Bizau et al [Astron.Astrophts.439 387(2005)] for B-like ions N2+,O3+ and F4+.We performed close-coupling calculations based on the R-matrix formalism for the photoionizations of ions mentioned above both for the ground states and first excited states in the near threshold regions.The present results are compared with experimental ones given by Bizau et al and earlier theoretical ones.Excellent agreement is obtained between our theoretical results and the experimental photoionization cross sections.The present calculations show a significant improvement over the previous theoretical results.     

Spectres auger et sections efficaces d'ionisation de la couche L23 du magnésium et de l'aluminium sous impact de protons et d'ions lourds (10–100 keV)

A comparison of Auger structures observed on the energy distributions of secondary electrons emitted from Mg and A1 solid targets bombarded by either light particles (H⁺ and He⁺) or heavy ions (Ne⁺, Ar⁺, …) is presented. With incident protons, it essentially appears a broad peak corresponding to a L₂₃VV transition and a weak shoulder due to the surface and bulk plasmon excitation. The Auger structures obtained with heavy ions are richer and the peaks which compose it are sharper. Such atomic-like structures correspond to Auger transitions from excited (with one or two L₂₃ holes) moving recoiling atoms. The experimental L₂₃ Mg and A1 ionization cross sections were determined from Auger spectra. In H⁺?Mg (or A1) collisions our results are in good agreement with the theoretical values calculated in a PWBA model. In the case of heavy ion-target interactions, we compared the experimental measurements with ionization cross section calculations obtained in a Landau-Zener model.     

Electron impact ionization of Zn+ and Ga+

We have investigated the contribution of excitation-autoionization to the electron impact ionization of Zn⁺ and Ga⁺ using the binary encounter approximation. Hartree-Fock velocity distributions for the bound electrons have been used throughout the calculations of direct and indirect ionization cross-sections. The calculated cross-sections are in good agreement with recent experiments. We have also compared our results with other theoretical calculations.     

Measurement and analysis of the π+π+ system produced at small momentum transfer in the reaction π+p→π+π+n at 12.5 GeV

From a wire chamber experiment 45 452 events were obtained from the reaction π⁺p→π⁺π⁺n. The I=2 phase shifts were determined in the π⁺π⁺ mass region 0.3–1.5 GeV. An amplitude analysis was performed. The results are compared with some theoretical predictions.     

RESONANCE CONTRIBUTION TO 1s-2s ELECTRON-IMPACT EXCITATION OF He+ ION

In the frame of quantum defect theory, the resonance excitation cross sections of 1s-2s electron-impact excitation of He⁺ ion are calculated by a simple relativistic configuration interaction method. The present theoretical results are in agreement with the previous experimental measurements .     

甲苯光电离解离理论研究

The photoionization and dissociation photoionization of toluene have been studied using quantum chemistry methods.The geometries and frequencies of the reactants,transition states and products have been performed at B3LYP/6-311++G (d,p) level,and single-point energy calculations for all the stationary points were carried out at DFT calculations of the optimized structures with the G3B3 level.The ionization energies of toluene and the appearance energies for major fragment ions,C₇H₇⁺,C₆H₅⁺,C₅H₆⁺,C₅H₅⁺,are determined to be 8.90,11.15 or 11.03,12.72,13.69,16.28 eV,respectively,which are all in good agreement with published experimental data.With the help of available published experimental data and theoretical results,four dissociative photoionization channels have been proposed:C₇H₇⁺+H,C₆H₅⁺+CH₃,C₅H₆⁺+C₂H₂,C₅H₅⁺+C₂H₂+H.Transition structures and intermediates for those isomerization processes are determined in this work.Especially,the structures of C₅H₆⁺ and C₅H₅⁺ produced by dissociative photoionization of toluene have been defined as chain structure in this work with theoretical calculations.     

小尺寸VmOn+团簇的激光光解和密度泛函计算

通过激光溅射法产生了V₂O_n⁺ (n=1, 2), V₃O_n⁺ (n=1, 2, 3)和V₄O₃⁺等缺氧的钒氧团簇,并采用532和266 nm波长的激光对它们进行了光解研究. 利用密度泛函理论计算与激光光解实验相结合确定了这些团簇的几何结构和可能的光解通道. 激光光解实验表明V相似文献   

Static quadrupole moments of first 2+ states in the 2s1d shell: A review of experiment and theory

Available experimental information on the static electric quadrupole moments Q₂₊ of the 2⁺ first excited states of even-mass nuclei in the 2s1d shell is tabulated and critically reviewed, and “adopted values” are presented. The results reveal a well defined pattern for the variation of Q_2⁺ through the shell. Predictions of Q_2⁺ made from various nuclear models are tabulated and compared with experiment. For each nucleus the qua ty and quality of the existing data for Q_2⁺, together with the current theoretical significance of the result, are used as criteria to determi whether new experimental work is desirable.