Parametrizing the line shapes of near-threshold resonances

A parametrization is proposed for the line shapes of near-threshold resonances, which is based on the model of coupled channels and can include an arbitrary number of elastic and inelastic channels and bare poles. The proposed parametrization satisfies the requirements imposed by unitarity and analyticity, and is convenient for the data analysis embracing all available experimental information. The model parameters are physically meaningful, and their values can be found using different theoretical schemes.     

Spectroscopy of near-threshold electrons from surfaces

A time-of-flight technique for two-dimensional spectroscopy of near-threshold electrons from surfaces is described, and the properties of the method are illustrated using selected results from clean surfaces, and mono- and multilayer adsorbates. The analysis of two-dimensional data yields easy access to inner (bulk) and outer (surface) ionization edges and exciton series, for valence and core electron levels including satellite states, and to final state effects. Strong interaction between bulk and surface states is revealed in particular for samples with negative electron affinity. Core-level threshold electron spectra from monolayers adsorbed on metal surfaces exhibit strong substrate-mediated suppression of post-collision interaction-induced line broadening and shift, each of which can be quantitatively explained by image charge screening. Received: 27 April 1998/Accepted: 25 August 1998     

Alignment of a molecular anion via a shape resonance in near-threshold photodetachment

One-color-two-photon photodetachment of HOCO- at E hnu=1.60 eV accompanied by a measurement of the photoelectron angular distribution (PAD) is used to illustrate a novel approach to the alignment of a molecular anion. A quantitative analysis of the PAD reveals this alignment process is associated with a temporary anion formed by a p-wave shape resonance and the PAD in the two-photon signal is a result of interfering s- and d-partial waves within the atomic approximation. The extracted intensity and phase shift of the partial waves are consistent with the Wigner threshold law for photodetachment.     

Natural line shape

The observable line shape of the spontaneous emission depends on the procedure of atom’s excitation. The spectrum of radiation emitted by a two-level atom excited from the ground state by a π pulse of the resonant pump field is calculated for the case when the Rabi frequency is much larger than the relaxation rate. It is shown that the central part of the spectral distribution has a standard Lorentzian form, whereas for detunings from the resonance that are larger than the Rabi frequency the spectral density falls off faster. The shape of the wings of the spectral line is sensitive to the form of the π pulse. The implications for the quantum Zeno effect theory and for the estimates of the duration of quantum jumps are discussed. The article is published in the original.     

Ammonia line profiles: On deviations from the Lorentz shape

The profiles of ammonia lines in the v₂ band appear to have wings which are both super-Lorentzian at distances less than 10 cm^-1 from the line center and sub-Lorentzian at much greater distances.     

Microscopical structure of the states of deformed nuclei in the neighborhood of the yrast line

A simple model is derived which allows one to study the structure of the nuclear states in the neighborhood of the “yrast” band. In the present scheme the precession motion plays a role of one of the normal modes of oscillations. (The structure of the dispersion equation for this mode corresponds to the well known classical formula.) Vibrational states associated with quadrupole oscillations of the nuclear shape are determined from a general equation. At slow rotation this equation breaks up into the known equations for β-, Δ- and γ-vibrations and non-collectivized K^π = 1⁺ excitations.     

On the line shape of EELS-spectra

The influence of anharmonic coupling between vibrations of an adsorbate parallel and perpendicular to the surface on electron energy loss spectra is investigated. Although in most cases vibrations parallel to the surface are not directly observable in EELS, this anharmonic coupling can be the origin of satellites in the loss spectra.     

Diabatic states from nodal structure conservation

For a Hamiltonian H(q), given in a suitable set of basis states, we construct diabatic states from requiring conservation of their nodal structure. The diabatic states and energies are single-valued functions for an arbitrary number of parameters q equivalent to {q1,q2,...q(f)}. The method is illustrated for nucleons moving in a deformed Woods-Saxon potential.     

Magnetic resonance line shape

The long-time asymptote of the magnetization correlation function and its distribution are investigated with slow motion of the spin and molecular subsystem taken into account the most. The influence of molecular drift in the field of the thermal hydrodynamic fluctuations on the magnetic resonance line shape is examined.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 118–121, May, 1976.     

Decay of 1+ states as a new probe of the structure of 0+ shape isomers

The nuclides 98Mo and 100Mo have been studied in photon-scattering experiments by using bremsstrahlung produced from electron beams with kinetic energies from 3.2 to 3.8 MeV. Six electromagnetic dipole transitions in 98Mo and 19 in 100Mo were observed for the first time in the energy range from 2 to 4 MeV. A specific feature in the two nuclides is the de-excitation of one state with spin J = 1 to the 0+ ground state as well as to the first excited 0+ state, which cannot be explained in standard models. We present a model that allows us to deduce the mixing coefficients for the two 0+ shape-isomeric states from the experimental ratio of the transition strengths from the J = 1 state to the 0+ ground state and to the 0+ excited state.     

Spectral line shape variations in time-resolved photoemission from a solid

Laser assisted photoemission by a subfemtosecond ultraviolet pulse is studied by solving the time-dependent Schr?dinger equation for a one-dimensional model crystal. Without the laser field, the shape and the energy location of the spectrum are determined by the energy dependence of the photoemission cross section. In the presence of the laser field, the time growth of the population of the final state is predicted to cause extremely sharp variations of spectral width as a function of release time. This can help enhance time resolution of the measurements. A simple phenomenological model to describe the line shape is proposed.     

On the spin-flip line shape in CdS

The longitudinal relaxation time of Spin-Flip Raman scattering (SFRS) in n-CdS is explained in terms of the Elliott mechanism. The energy dispersion of spectroscopic factors of the conduction electrons and the Hasegawa model yield a transversal relaxation time different from the longitudinal relaxation time, but do not reproduce the experimental value. The diffusion coefficient, responsible for the SFRS line width behavior with temperature in n-CdS, is explained based upon hopping effects in the low temperature region.     

Theory of the line shape of gamma-photon transitions

There is a discussion of the line shape for the nuclear two-quantum transition due to the simultaneous absorption of a Mossbauer quantum and a quantum from a classical photon source. The problem is solved through the use of density-matrix equations, and an equation is derived for the intensity of absorbed gamma rays. In contrast with the case of the ordinary probabilistic approach, the equation for the intensity of gamma absorption reveals a dependence on the relaxation times within the ground and excited states. The line shape for gamma-photon transitions for low intensities of the incident radiation usually differs little from the shape of the Mossbauer line. However, at large irradiation intensities, a shift and a broadening of the resonant lines occur, proportional to the radiation power. These corrections must be taken into account in, e.g., gamma-magnetic resonance.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, Vol. 12, No. 7, pp. 24–30, July, 1969.     

On the theories of cyclotron resonance line shape

A recent claim by Choi and Chung that the Argyres-Sigel theory of cyclotron resonance line shape is invalid is shown to be erroneous.     

Peculiarities of the radiospectroscopy line shape in nanomaterials

The theory of the radiospectroscopy (nuclear magnetic resonance [NMR] and electron spin resonance [ESR]) line shape for nanomaterials is developed. The consideration was performed in the core and shell models which are, respectively, the nanoparticle regions unperturbed and perturbed by the surface influence. The shift of the resonance frequency by the surface tension was taken into account. The homogeneously broadened line shape was supposed to be Gaussian or Lorentzian. Inhomogeneous broadening of lines via the distribution of nanoparticle sizes was calculated for several forms of the size distribution function. The splitting of radiospectroscopy spectra into two lines decreases with particle sizes, which looks like that in the bulk and on the surface. It was shown to be the characteristic feature of nanomaterial spectra. The changing of these lines’ intensity and width with the change of the distribution function parameters and the particle size decrease was considered. The comparison of the theory with NMR spectra of¹⁷O and²⁵Mg observed recently in nanocrystalline MgO is performed. The calculations fit pretty good the observed size dependence of the line shape, intensity and width.     

Broad states beyond the neutron drip line

Theoretical studies of broad states in the few-body systems beyond the neutron drip line have been performed. We introduce a theoretical model which allows to incorporate the initial structure of colliding nuclei, reaction mechanism, few-body effects and final-state interactions in studies of broad unbound states. The model is directly related to the sudden-removal approximation for high-energy knock-out or break-up reactions. We apply this model to qualitative studies of some general properties of broad few-body states including correlations for emitted fragments. The theoretical ideas are illustrated mainly using the example of ⁵H. The prospect for observation of broad continuum structures corresponding to the tetraneutron ⁴n is also discussed.Received: 9 April 2003, Revised: 21 August 2003, Published online: 26 January 2004PACS: 21.45. + v Few-body systems - 21.60.Gx Cluster models - 25.10. + s Nuclear reactions involving few-nucleon systems