Quantum calculations of Coulomb reorientation for sub-barrier fusion

Classical mechanics and time dependent Hartree-Fock (TDHF) calculations of heavy ions collisions are performed to study the rotation of a deformed nucleus in the Coulomb field of its partner. This reorientation is shown to be independent of the charges and relative energy of the partners. It only depends upon the deformations and inertias. TDHF calculations predict an increase by 30% of the induced rotation due to quantum effects while the nuclear contribution seems negligible. This reorientation modifies strongly the fusion cross section around the barrier for light deformed nuclei on heavy collision partners. For such nuclei a hindrance of the sub-barrier fusion is predicted.     

Ultracold inelastic collisions in two dimensions

We show that cross sections for inelastic collisions of ultracold atoms or molecules confined by a harmonic potential have the same energy dependence as in pure 2D geometry. This indicates that chemical reactions and inelastic collisions may be suppressed in an ultracold gas under strong confinement in one dimension. We present a numerical proof of the threshold collision laws in 2D. Our results indicate that inelastic collisions in weak electromagnetic fields may be controlled by varying the orientation of the external field axis with respect to the plane of confinement.     

Interference effect in electron emission in heavy ion collisions with h2 detected by comparison with the measured electron spectrum from atomic hydrogen

Direct evidence of the interference effect in the electron emission spectra from ionization of molecular hydrogen in collisions with bare C and F ions at relatively low collision energies is presented. Oscillations due to the interference are deduced by comparing the measured double differential cross sections of the electrons emitted from molecular hydrogen to those emitted from atomic hydrogen, rather than using the calculated cross sections for H as in a previous report. We believe these experimental data provide stronger support for the evidence of the interference effect. We show that it is not only a feature of very high energy collisions, but also a feature to be observed in relatively lower energy collisions.     

The properties of liquid nitrogen

The light-scattering ‘anisotropy’ spectrum of liquid nitrogen has been measured for the liquid along the liquid-vapour coexistence line from 69·4 K (almost the triple point) to near the critical point at 125 K and for the gas under pressure at 128 K. The spectrum is very broad (HWHH～50 cm^-1) due to rapid molecular reorientation. The molecular anisotropy spectrum is approximately gaussian, corresponding to a correlation time for molecular reorientation of order 2 × 10^-13 s at 80 K which is comparable with that obtained from nuclear magnetic resonance. A gaussian rather than a lorentzian form arises because molecular reorientation is not a ‘slow’ variable.

Above the critical temperature the molecular anisotropy spectrum can be roughly described as a collision-broadened rotational line spectrum.

The spectrum and its time Fourier Transform are analysed in terms of the dynamical correlation of orientation of the molecules.

A component of the spectrum due to induced polarization is separated from the anisotropy contribution by a study of the far wing of the spectrum and is observed on the Stokes side out to about 250 cm^-1. This depends exponentially on frequency shift and is interpreted in terms of molecular collision dynamics. The correlation time for this motion is about a factor three shorter than that for molecular reorientation.

The spectra are markedly asymmetric after all experimental corrections for asymmetry have been made. The asymmetry is shown to correspond to the detailed balance factor. It is pointed out that this factor should be allowed for in the case of induced scattering, in particular.

A theoretical analysis is given of the effect of correlation of molecular orientation on the light-scattering spectrum for centrosymmetric linear molecules. In particular it is shown that the normalized second moment of the spectrum is unaffected by correlation of orientation.     

Molecular Axis Orientation in Charge Transfer Reactions Determined with a Reaction Microscope

基于在近代物理研究所建成的反应显微成像谱仪,实验研究了在分子离子与He原子碰撞中的电荷交换反应机制. 通过运动学完全测量实验充分展示了此碰撞体系的特征. 由于采用了符合测量技术和数据列表模式记录数据,因此实验记录了每个事件中因分子离子解离而产生的碎片的三维动量信息. 在离线数据分析和处理中,根据解离碎片的动量可以确定每个事件中的H₂⁺分子离子的分子轴取向. 在近轴反冲核近似下,可以认为实验测量得到的分子轴取向就是电荷交换碰撞时刻分子轴的取向. 实验中分子轴取向的     

高能p-A碰撞的碰撞几何、能量损失和横能分布

采用一种仔细考虑了作用截面、表面弥散和形变效应的核碰撞几何,同时考虑到在每一次碰撞中领头质子损失能量,得到了高能ｐ－Ａｌ碰撞的横能分布,计算结果与２００ＧｅＶ／ｃｐ－Ａｌ、Ｃｕ及Ｕ碰撞的实验数据符合.In this paper, the nuclear collision geometry which was considered carefully in the interaction cross sections, surface effects and nuclear deformations is adopted. The energy loss of leading proton in each collision is considered. The transverse energy distributions in high energy p A collisions are obtained. The calculated results are in agreement with the experiment data of 200 GeV/ c p Al, Cu and U collisions.     

Collisional broadening of infra-red absorption lines

The Lorentz half-widths of collision-broadened lines in the rotation-vibration bands of diatomic molecules vary with line number |m| in the P and R branches. The observed variation of half-width for lines in the 0 → 1 and 0 → 2 bands of CO and HCl are interpreted in terms of a simple fitting procedure. One dominant source of line broadening is assumed to consist of diabatic hard collisions involving transitions from each rotational level to all higher rotational levels; the effectiveness of this process, which varies from line to line, is described in terms of an empirically adjusted collision cross section, a maximum collision parameter related to independently measured molecular properties, and upon the availability of the required energy and angular momentum in molecular collisions. The second source of line broadening, assumed to be the same for all lines, includes all other types of collisions and is represented by a single empirically adjusted cross section. The simple fitting procedure is applied successfully to self-broadening of CO lines and to foreign-gas broadening of CO and HCl; for HCl self-broadening an additional cross section for resonant-dipole processes must be included. Possible applications of the fitting procedure to HBr, HF, and CO₂ are discussed. The simple procedure presented represents an approximation that may prove useful pending the development of readily applicable complete theories based on first principles.     

Λ Production and Λ/p Ratio in Relativistic Heavy Ion Collisions

The Λ multiplicity and Λ/p ratio are studied by hadron transportation-string fragmentation model in relativistic heavy ion collisions. Firstly, the dependence of Λ multiplicity and Λ/p ratio on the system size and the collision centrality is studied. It shows that the Λ and p multiplicities go up as the increase of system size and the increase of collision centrality. However, their ratio keeps almost a constant. The effect of Λ annihilation cross section to Λ multiplicity and Λ/p ratio is also studied. It is found that this effect is weak: Λ multiplicity and Λ/p ratio have a little amount of increase by the decrease of Λ annihilation cross section. Even the cross section is down to zero, Λ/p ratio is only 1.2 in 200A GeV AuAu head on collision. The Λ/p ratio is obtained to be 0.28 in pp collision, lying in the range of experimental data:0.2—0.3. It is also obtained that the ratio in AA collisions is 3—5 times of that in pp collision.     

Dependence of the differential cross sections for radiative-collisional excitation of metastable atomic states on the polarization of radiation

We calculate the total and differential cross sections for radiative-collisional excitation of the metastable 2¹S state of He atoms at collisions with Ne atoms in external radiation fields of various frequencies and polarizations. The calculations are performed for a thermal collision energy of E = 10^?3 atomic units and light intensity of I = 1 MW cm^?2, which corresponds to a single photon absorption by a quasi-molecule during the collision. Both the differential and total cross sections are shown to depend strongly on the relative orientation of the radiation polarization vector and the initial relative velocity vector of the colliding atoms. We analyze the azimuthal scattering asymmetry related to the orientation of the angular momentum of the absorbed photon.     

A density matrix formulation of the theory of magnetic resonance spectra in slowly reorienting systems

When a spin system is coupled to a molecule or part of a molecule which is reorienting at a rate comparable to the width of the powder spectrum, the line shape can be calculated from a density matrix which is a function both of spin operators and of the Euler angles describing the molecular orientation. The problem of calculating such line shapes is eased by using the super-operator formalism and choosing symmetry adapted basis operators in the Liouville space of spins and orientations. Diffusion and strong collision models for molecular reorientation are discussed.     

Rotational state effects in the dissociative recombination of H2+

We have studied the dissociative recombination (DR) of molecular hydrogen ions with slow electrons over a range of collision energies from 0 to 400 meV. By employing a pulsed expansion source for rotational cooling and by exploiting super elastic collisions with near-0-eV electrons in a heavy ion storage ring for vibrational cooling, we observe a highly structured DR cross section, comparable to that reported for HD+. Using para-hydrogen-enriched ion beams, we identify for the first time features in the DR cross sections attributed to nu=0, J=even molecules (para-H2) and nu=0, J=odd (ortho-H2) molecules, separately. Indications are given that para levels have different DR rate coefficients from ortho levels for the first four vibrational levels at near-0-eV collisions.     

应用ECPSSR理论研究重离子引起原子的内壳层电离

ECPSSR理论是解释离子-原子碰撞内壳层电离最成功的理论之一.我们用VISUAL FORTRAN编写了ECPSSR理论计算程序,修正了ISICS程序中的错误,本程序可以对各种入射离子与靶原子的组合进行计算,给出K,L,M的壳层及次壳层电离截面以及相应的X射线产生截面,并根据需要选择是否对入射离子运动进行相对论修正.采用所编写的程序计算了一些碰撞体系的电离截面和X射线产生截面,并与其他程序的计算结果和实验数据分别进行了比较.     

Collisional depolarization of fluorescence of polyatomic molecules in the gas phase by excited state quenchers

A new method of extracting information on the efficiencies of quenching of an excited state and collisional reorientation from the data on the fluorescence depolarization of molecular vapors by quenchers of the excited state is proposed. The method does not involve collisional cross sections and fluorescence lifetimes. From the experimental data on the depolarization of polarized luminescence of para-quaterphenyl and 2-(4′-dimethylamine) phenyl-5-phenyloxydiazole by oxygen and nitrogen, the ratios of the constants of the excitedstate quenching and orientation randomization (fluorescence depolarization) by oxygen are obtained. For these molecules, the probabilities of the excited-state quenching q and orientation randomization s per collision with oxygen molecules are determined (q=0.25±0.04 and s=0.13±0.04 for para-quaterphenyl and q=0.2±0.04 and s=0.21±0.04 for 2-(4′-dimethylamine)phenyl-5-phenyloxydiazole). The self-quenching of fluorescence of perylene vapors, with the probability 0.28 per collision, is found.     

Coulomb reorientation in near-barrier fusion of deformed+spherical systems in classical dynamical approach

A classical rigid-body dynamics model which takes into account all the translational and the rotational degrees of freedom is developed to study Coulomb reorientation of deformed nuclei in heavy-ion collisions. Various aspects of the collision dynamics in the case of near-barrier fusion of ²⁴Mg + ²⁰⁸Pb system due to the Coulomb reorientation are studied; the dependence of the extent of reorientation of the symmetry axis of the deformed nucleus, isotropy of the initial orientations, barrier parameters, and rotational excitation energy are discussed in detail. It is found that the barrier parameters not only depend on the initial orientations of the deformed nucleus but also on the collision energy; with maximum reorientation effect at near- and below-barrier energies. Even small amount of the rotational excitation energy gained by the deformed nucleus at large separation distances is crucial in determining the conditions at the barrier. Study of ¹⁵⁴Sm + ¹⁶O and ²³⁸U + ¹⁶O systems involving heavier deformed nuclei shows that the extent of reorientation also depends on the moment of inertia of the deformed nucleus.     

Inner-Shell X-ray production in adiabatic iodine-Z 2 collisions,withZ 1+Z 2≧100

K-, L- andM-x ray production cross sections for the molecular excitation regime in heavy ion-atom collisions (Z ₁+Z ₂≧100) are reported for the projectile velocity range 1.3–3.7 a.u. Outer-shell vacancy configurations of the collision partners having experienced inner shell vacancy creating collisions are deduced from the x-ray spectra. The influence of outer shell vacancy occupation on fluorescence yields is discussed and vacancy production cross sections are derived from x-ray production cross sections.     

On excitation and loss of an electron by incident ions in relativistic collisions with atoms

The excitation and loss of an electron by ions in relativistic collisions with atoms are studied in first-order perturbation theory. General expressions are obtained for the cross sections for the excitation and loss of an electron. In the limit of nonrelativistic collision velocities these expressions pass into the well-known nonrelativistic results. It is shown that, in contradistinction to the nonrelativistic collisions, in ultrarelativistic collisions the screening of the nucleus of the target atom by the atomic electrons is very important for excitation and loss of an electron by ions even for collisions of heavy ions with light atoms. Our computational results for the cross section for electron loss are in good agreement with existing experimental data.     

Determination of Orientations in Deformed U--U Collisions at 0.52GeV/u

The ART model is applied to study the deformed UU collision at HIRFL-CSR energy area corresponding to the high baryon density region in the QCD phase diagram. The time evolution of central baryon (energy) densities in central collisions at E_b =0.52GeV/u shows that different orientation collisions will lead to different lifetimes of high density, especially tip--tip UU collisions which have an extend lifetime for the high density phase by almost a factor of 2 compared to the body--body orientation collisions. In order to pick out the interesting tip--tip like events from a mass of random orientation collisions, we study the relation between stopping power R and impact parameter b in different orientation collisions and find that it can enhance the purity of tip--tip like events when R increases. Therefore, the high density and long lifetime events can be effectively distinguished by R selection.     

Quantum and semiclassical dynamics of differential optical collisions

We apply quantum and semiclassical theories to differential optical collisions Na(3²S_1/2) + Kr + Na(3²P_1/2,3/2) + Kr. Our results provide a basis to analyze recent experiments in which for the first time optical collisions were investigated with angular resolution under crossed-beam conditions. A characteristic feature of the differential cross sections is the pronounced oscillatory structure due to interferences of different Condon paths. These Stueckelberg oscillations form an extremely sensitive probe of the collisional dynamics and of the molecular interactions. We demonstrate perspectives to determine geometric properties of the collision complex by excitation with polarized light. By final state analysis nonadiabatic (spin-orbit, rotational) interactions can be studied with complete control of the path. In summary it is shown that the method of differential detection of optical collisions opens a variety of new accesses to atomic and molecular subcollisions. Received: 30 July 1997 / Received in final form: 5 November 1997 / Accepted: 8 January 1998     

The dynamical ingredients governing the multifragmentation process and collision dynamics in heavy ion collisions

By simulating numerically the reaction dynamics of heavy ion collisions within the modified quantum molecular dynamics (MQMD), we have studied the influences of the nucleon-nucleon (n-n) collision cross section with and without medium effect, momentum dependent interactions (MDI), equation of state (EOS) and the aggregating method of fragments on the multifragmentation process of heavy ion collisions with different beam energies. It is found that multifragmentation patterns of the final fragment distributions, the collective flows of fragments and single particles, collision number and nuclear matter density depend strongly on then-n cross section and momentum dependent interactions and the nuclear equation of state, especially these dependences are associated with beam energies. But the fragment multiplicity distribution patterns depend very weakly on the equation of state.     

Bound-state excitation in ion-ion collisions

We extend Seaton's semi-classical, impact parameter formulation of Coulomb excitation to treat a variety of inelastic ion-ion collisions. Comparisons with quantal calculations suggest that our algorithm provides an accurate as well as rapid estimate of these cross sections; comparisons involving two other semi-classical formulae show them to be less satisfactoory. We then investigate the importance of inelastic ion-ion collisions for applications in plasma spectroscopy and diagnostics; in particular we examine excitations by heavy ions as well as by protons. In one appendix, we consider the numerical evaluation of Coulomb trajectory functions, for a wide range of collision parameters. In another, we derive simple, approximate formulae for electron-impact excitation cross sections, for use in comparing ion-ion and electron-ion excitation rates and in determining (via scaling) reliable values of ion-ion cross sections at high collision velocities.