The oscillator strength of the πg shape resonance in the absorption K-spectrum of a nitrogen molecule

Magnitudes of the absorption cross sections of a nitrogen molecule are measured by the transmission method near the ionization K-threshold. Based on these data, the partial absorption NK cross sections are obtained and the oscillator strength of the π_g shape resonance is determined. It is found that the oscillator strength of the π_g-resonance increases as the optical density of nitrogen decreases. This phenomenon is interpreted as a result of the instrumental distortion effect (the thickness effect). By extrapolating to zero pressure, the oscillator strength of the π_g shape resonance is determined to be 0.29.     

Spectral composition of the pulse generation of the N2 molecule in the3Πg(B)→3Σ11 +(A)transition

New lines in the infrared generation spectrum of molecular nitrogen are reported. The generation lines are attributed to the vibrational-rotational transitions of the first positive system of nitrogen. The distinctive features of the generation spectrum are interpreted within the framework of the direct electronic collision hypothesis. Excitation of the rotational structure is considered on the basis of a simplified model which affords qualitative agreement with the experimental data.The author is grateful to Profs. V. I. Malyshev, I. I. Sobel'man, and G. G. Petrash for their useful comments. He is also deeply indebted to the late Prof. P. A. Bazhulin for his assistance and support in the phase of the study involving pulse-generating gas lasers.     

Magnetic susceptibility of the O(N) non-linear sigma model

We investigate a non-perturbative method suited to the study of asymptotically free theories. We apply it to the two-dimensional O(N) non-linear sigma model to extract the value of the magnetic susceptibility. This scheme is shown to be exact when N goes to infinity. We compare our results with Monte Carlo data.     

Dynamic stabilization in 1sigma(u)-->1pi(g) excited nitrogen clusters

High-resolution 1s near-edge spectra of molecular nitrogen and variable size nitrogen clusters obtained using monochromatic synchrotron radiation from the high brilliance BESSY-II storage ring facility are reported. The vibrationally resolved 1sigma(u)-->1pi(g) core-to-valence excitation band of clusters shows a distinct redshift of 6+/-1 meV relative to the isolated molecule, but the vibrational structure and linewidths are essentially unchanged. This shift is assigned to dynamic stabilization of 1sigma(u)-->1pi(g) excited molecules in clusters, arising from the dynamic dipole moment generated by core-hole localization in the low-symmetry cluster field. This leads to changes in intermolecular interactions compared to the ground-state cluster. Such spectral shifts are expected to occur generally in molecular clusters and in the corresponding condensed phase.     

Lambda scale for the improved latticeO(N) non-linear sigma model

Using the background field technique I computeι _L ^I /ι _L ^S =e ^{(0.5928(N?)/2+0.2044)/(N?2)} in agreement with a calculation by Symanzik. Implications for Monte Carlo simulations are also discussed.     

Phase transition and 1/N expansion in (2+1)-dimensional supersymmetric sigma models

Three-dimensional supersymmetric generalized non-linear sigma models are shown to exhibit second-order phase transition due to spontaneous breakdown of the internal symmetry below a critical value of the coupling constant. Supersymmetry remains unbroken in both phases. Supergraph diagram technique of the corresponding 1/N expansion and the particle spectrum are derived.     

类硼离子N2+光电离的R-矩阵理论计算

本文首次运用R-矩阵理论方法,分别在单通道近似和三态密耦近似下计算了离子N2+基态(1s22s22p) 2P的不同过程、不同分波的光电离截面及各分波的光电离截面随有效量子数的变化规律.在三态密耦近似下,由于大量的自电离态与连续态的相互作用,计算结果显示了光电离过程中非常丰富的Rydberg系列共振结构,是以前的理论计算中所从未涉及到的.     

Study of the O(N) linear \sigma model at finite temperature using the 2PPI expansion

We show that a new expansion, which sums seagull and bubble graphs to all orders, can be applied to the O(N) linear -model at finite temperature. We prove that this expansion can be renormalized with the usual counterterms in a mass independent scheme and that Goldstone's theorem is satisfied at each order. At the one loop order of this expansion, the Hartree result for the effective potential (daisy and superdaisy graphs) is recovered. We show that at one loop 2PPI order, the self-energy of the -meson can be calculated exactly and that diagrams are summed beyond the Hartree approximation. Received: 22 March 2001 / Revised version: 3 September 2001 / Published online: 14 December 2001     

Manifestation of many-electron correlations in photoionization of the K shell of N2

It is demonstrated theoretically in the random phase approximation (RPA) that due to the intershell many-electron correlations the sigma(*) shape resonance in the photoionization of K shells of the N2 molecule appears not only in the 1sigma(g)-->varepsilonsigma(u) channel as it was believed earlier on the basis of single particle calculations, but in both 1sigma(g)-->varepsilonsigma(u) and 1sigma(u)-->varepsilonsigma(g) channels. As a confirmation of this phenomenon we show that the experimental angular distributions of photoelectrons ejected from fixed-in-space N2 molecules can be reproduced theoretically only after taking into account many-electron correlations.     

Line shape analysis in nuclear quadrupole resonance spectroscopy (I=3/2)

Following the treatment of Vega (1973), the theoretical expressions for the second moments in nuclear quadrupole resonance (nqr) due to dipole-dipole interactions have been derived for the system containing the nuclei with spinI=3/2. Cases with the orientation of the static magnetic field and the interactions with the other magnetic nuclei are also dealt with.     

The Perturbation between the G(1)Pi(g) and 2(1)Delta(g) States of (7)Li(2)

We have observed the rotational levels in the v = 2, 3, 5, 6, 7, and 8 vibrational manifolds of the 2(1)Delta(g) state of (7)Li(2) via the A(1)Sigma(+)(u) intermediate levels by DeltaLambda = 2 transitions. This violation of the DeltaLambda = 0, +/-1 selection rule is due to the interaction with the G(1)Pi(g) state. Band-by-band deperturbations of the G(1)Pi(g) approximately 2(1)Delta(g) (v(Pi), v(Delta)) = (11, 2), (12, 3), (15, 5), (16, 6), (18, 7), and (19, 8) bands have been performed. Deperturbed molecular constants and rotational-electronic interaction parameters are reported here. Copyright 2000 Academic Press.     

Attosecond resolved electron release in two-color near-threshold photoionization of N2

We have simulated two-color photoionization of N(2) by solving the time-dependent Schr?dinger equation with a simple model accounting for the correlated vibronic dynamics of the molecule and of the ion N(2)(+). Our results, in very good agreement with recent experiments [Haessler et al., Phys. Rev. A 80, 011404 (2009)], show how a resonance embedded in the molecular continuum dramatically affects the phases of the two-photon transition amplitudes. In addition, we introduce a formal relation between these measurable phases and the photoelectron release time, opening the way to attosecond time-resolved measurements, equivalent to double-slit experiments in the time domain.     

The validity of perturbation theory for the O(N) non-linear sigma models

Recently it has been claimed that ordinary perturbation theory (OPT) gives incorrect weak coupling expansions for lattice O(N) non-linear sigma models in the infinite volume limit, and in particular that the two-dimensional non-abelian models are not asymptotically free, contrary to previous findings. Here it is argued that the problem occurs only for one-dimensional infinite lattices, and that in general, OPT gives correct expansions if physical quantities are first computed on a finite lattice, and the infinite volume limit is taken at the end. In one dimension the expansion is sensitive to boundary conditions because of the severe infrared behavior, but this is not expected to happen in higher dimensions. It is concluded that spin configurations which are far from the perturbative vacuum have too small a measure in the path integral to invalidate OPT, even though they are energetically allowed for non-zero values of the coupling.