Coulomb-nuclear interference at sub-Coulomb energies

The Coulomb-nuclear interference pattern in the low-energy heavy-ion excitation of nuclei near closed-shells can be used to investigate the nuclear mass density at large distances, the nature of the effective transition operator and the presence of higher-order direct processes. Semimicroscopic single-folding calculations are compared to low-energy data for ¹⁸O excitation by ²⁰⁸Pb. A strong effect of two-step transfer reactions is predicted in the sub-Coulomb excitation of ¹⁷O by ²⁰⁸Pb.     

Particle coupling to the octupole state in 89Sr from 88Sr(p,p')88Sr analog resonances and 88Sr(d,p)89Sr

A study has been made of the six most pronounced isobaric analog resonances in the ⁸⁸Sr(p, p')⁸⁸Sr (3^?) excitation function at E_p = 7.65, 7.80, 7.92, 8.78, 9.75, and 9.90 MeV. They are believed to have a simple structure in the parent nucleus ⁸⁹Sr consisting of the lowlying positive-parity, single-neutron spectrum of ⁸⁹Sr weakly coupled to the collective 3^? state in ⁸⁸Sr. A high-resolution ⁸⁸Sr(d, p)⁸⁹Sr experiment was performed to locate small 2f and 3p admixed fragments in ⁸⁹Sr which would allow these analog resonances their entrance widths. In addition, on-resonance ⁸⁸Sr(p, p')⁸⁸Sr (3^?) angular distributions were measured in order to determine the partial waves involved in the exit channel. Results are compared to a particlephonon coupling model, and overall selectivity, strengths, and angular distributions of the (p, p') analog resonances are consistent with the above interpretation.     

The reaction Rb(d,p)Rb near the coulomb barrier

Cross sections for the reaction ⁸⁷Rb(d, p)⁸⁸Rb induced by 4 to 6 MeV deuterons were measured to obtain spectroscopic data on levels in ⁸⁸Rb. The Q-value for the reaction to the ground state of ⁸⁸Rb was 3.837 ± 0.020 MeV. In addition twenty-three levels up to 3 MeV excitation in ⁸⁸Rb were populated. Four different deuteron optical model parameter sets, which fit our ⁸⁷Rb(d, d) elastic scattering data, were used in a DWBA analysis. Assignments of l_n, were made to nine levels on the basis of angular distribution shapes and excitation functions. Relative spectroscopic factors were determined with a maximum deviation of only 15%. However absolute spectroscopic factors were extremely sensitive to the neutron radius parameter, and hence the normalization of the bound neutron wave functions. The structure of ⁸⁸Rb is discussed.     

Neutron inelastic scattering to octupole states in single-closed-shell nuclei

Differential cross sections for the excitation of the first octupole-vibrational state in the closed- neutron-shell nuclides ⁸⁸Sr and ⁹⁰Zr and in the closed-proton shell-nuclei ^{116, 118, 120, 124}Sn by 11 MeV neutrons are presented. The distorted-wave Born approximation is used to obtain deformation lengths, σ(3^?), for each state. Results are compared with earlier measurements of inelastic proton scattering to the same states. Although limited resolution in the neutron time- of-flight spectrometer complicates the interpretation of the Sn data, the overall conclusion that σ_nn′(3^?) ≈ σ_pp′(3^?) is supported by all of the measurements.     

Symmetric and asymmetric fission of Ac isotopes near the fission threshold

Fission probabilities and fragment anisotropies were investigated for fission of ²²⁷Ac and ²²⁸Ac by means of direct reactions with a ³He beam on a ²²⁶Ra target. Triple-humped mass distributions are found also for excitation energies where second-chance fission is excluded. The fission barrier is higher for symmetric fission compared to that for asymmetric fission by 1.2 and 2.0 MeV, respectively, suggesting that the character of the mass split is already predetermined at the saddle point.     

Nuclear structure investigations in spherical heavy nuclei by means of inelastic electron scattering

Inelastic electron scattering form factors for the low-lying 2⁺ and 3^? excitations in⁸⁸Sr and the first 3^? excitation in²⁰⁸Pb are calculated on the basis of a microscopic nuclear model making use of various residual two-particle interactions. The aim is to draw conclusions from the comparison of the theoretical and experimental data upon the nuclear model itself and upon the employed residual interactions. Further experimental data especially for high momentum transfers will be needed for the excitations in⁸⁸Sr. The existing data for²⁰⁸Pb show that the used effective interactions are not yet satisfactory.     

Laser action ofnd 8(n + 1)s 2 −nd 9(n + 1)p transitions in HgIII,Cull and AgII

A mechanism of the laser action of 5d ⁸ 6s ² –5d ⁹ 6p HgIII transitions is proposed. The explanation is based on atomic constants of the transitions and the predominant role of direct electron excitation of the upper laser level. The kinetic models of electron beam and hollow cathode discharge sources are calculated. The theoretical estimations are compared with experimental data and possible laser transitions are also proposed. The role of electron impact excitation in the formation of inverse population for two-electron transitions in CuII and AgII obtained in hollow cathode discharges is discussed.     

Excitation of resonance lines of a Zn+ ion by electron impact

Excitation of individual components of the resonance 4p ² P ₁ ^2,3/2/0 doublet of a Zn⁺ ion by electron impact is studied for the first time by the spectroscopic method in crossed beams. A distinct structure (above the ionization potential of an ion as well) found in the energy dependences of the effective excitation cross section is associated mainly with the decay to the resonance levels (direct or cascade) of autoionization states of zinc atoms and ions formed through the excitation of electrons from the subvalence 3d ¹⁰ shell. The results obtained are compared with data of other experiments and theoretical calculations by the method of strong coupling of five and fifteen states, as well as with the semiempirical calculation using the Van Regemorter formula.     

Investigation of excitation processes in a hollow-cathode discharge by time-resolved measurements in the vacuum u.v.

A spectrometer for the far u.v. range (λ = 30–300 nm) has been used, together with a sampling instrument (resolution 10^-9 s, time-intervals 10^?9to 10^?3s) for the measurement of afterglow. The measurements were confined to emission of the hollow cathode discharge. From the time constants of the afterglow, we conclude that the essential excitation processes for atoms in the hollow cathode are the following: direct electron excitation and three-body recombination.     

Spectrum Simulation of Li-Like Aluminium Plasma

X-ray emission spectra for L-shell of Li-like aluminium ions are simulated by using the flexible atomic code based on the collisional radiative model. Atomic processes including radiative recombination, dielectronic recombination, collisional ionization and resonance excitation from the neighbouring ion （Al^9＋ and Al^11＋ ） charge states of the target ion （Al^10＋） are considered in the model. In addition, the contributions of different atomic processes to the x-ray spectrum are analysed. The results show that dielectronic recombination, radiative recombination, collisional ionization and resonance excitation, other than direct collisional excitation, are very important processes.     

Evidence for deformed states in 75Br

The excited states in ⁷⁵Br have been studied via the reactions ⁷⁴Se(p, γ), ⁷⁴Se(d, n), ⁷⁴Se(³He, pn) and ⁷⁴Se(α, p2n) by using in-beam γ-ray spectroscopy. In addition to measurements of γ-γ coincidences, excitation functions and angular distributions of γ-rays, ns lifetime measurements have also been carried out. As a result 19 levels have been identified up to spin ($\text{17}\text{2}$) and excitation energies up to 2.6 MeV. The B(E2) value of 88 W.u. derived for the 88.4 keV γ-ray indicates strong collectivity within a positive-parity band. A comparison of the excitation energies of the unique-parity states in ⁷⁵Br and ⁷⁷Br with those in ¹⁵³Tb and ¹⁵⁵Tb reveals that the average deformation increases when going from ⁷⁷Br (N = 42) to ⁷⁵Br (N = 40).     

Excitation functions for the production of90Nb and88Y by irradiation of zirconium with deuterons

Excitation functions for reactions induced by deuterons on natural zirconium and⁹⁰Zr targets have been measured radiochemically with the stacked foil technique between ≈9 and 27 MeV. The observed reactions are Zr(d,xn)⁹⁰ Nb, Zr(d,axn)⁸⁸Y,⁹⁰Zr(d, 2n)⁹⁰Nb and⁹⁰Zr(d, α)⁸⁸Y. The excitation functions for the reactions⁹¹Zr(d, 3n)⁹⁰Nb and⁹¹Zr(d, αn)⁸⁸Y have been deduced from the results mentioned above. Calculations of the excitation function for the (d, 2n) reaction have been performed with two different treatments, each one taking into account two competitive mechanisms. The compound-statistical model plus Hittmair's stripping theory accounts quite well for the (d, 2n) cross sections observed. However, the agreement obtained with Peaslee-Otozai's theory is excellent and the set of parameters used more reasonable. It has been assumed that the stripping mechanism can have no contribution to the (d, α) reaction. Accordingly, calculations for this reaction have been done using the compound-statistical model and the entire absorption process followed by the evaporation of an α particle. No good agreement is obtained with either theory.     

Two-nucleon pick-up from spin-12 targets (II). 89Y

The angular distributions for the ⁸⁹Y(p, t), (p, τ), and (d, α) reactions are compared to DWBA predictions and to the data for the ⁹⁰Zr(p, t) and (d, α) reactions. Several new spins are assigned to levels of ⁸⁷Y. A weak coupling model is tested by the comparison between the reactions on ⁸⁹Y and ⁹⁰Zr, and found to fail. The (d, α) reaction is found to populate strongly levels at excitation energies of 2.70 MeV and 3.07 MeV in ⁸⁷Sr, corresponding roughly in Q-value and strength to states formed in ths ⁸⁸Sr(d, α)⁸⁶Rb reaction.     

The (3He,d) reaction on 24Mg and 28Si at 38.5 MeV

The (³He, d) reaction at a sufficiently high energy is considered to be a reliable single-proton stripping direct reaction. The data for the low-lying states produced by this reaction on ²⁴Mg and ²⁸Si are compared to the predictions of the strong-coupling rotational model. The agreement with the model predictions for ²⁵Al is quite good, both for the single-proton spectroscopic factors in that nucleus and most particularly for the excitation of $\text{7}\text{2}{}^{\mathrm{+}}$ states in ²⁵Al and ²⁹P by two-step processes.     

A systematic study of the fission and evaporation residue excitation functions in complete fusion reactions with weakly bound stable nuclei

We carry out a systematic study on the fusion-fission and evaporation residue excitation functions for the reactions of ^6,7Li, ⁹Be, ^10,11B + ²⁰⁹Bi and ^6,9Li, ⁹Be + ²⁰⁸Pb, in which the projectiles are loosely bound and have low threshold energies against breakup. The fusion cross sections are calculated by the coupled-channel model. The compound nuclei decay are analyzed with the standard statistical model. The fission and evaporation residue excitation functions are well reproduced by our calculations, proving the validity of the standard statistical model in describing the compound nuclei decay in these characteristic reactions. For the compound nuclei with A=215-220 and Z=86-88, the liquid drop fission barriers need to be scaled by 0.80-1.02 to reproduce the experimental data. And a decreasing trend of the scaling factor with increasing fissionability parameter Z²/(50A) is found.     

Level structure of 47Ti from the (d,p) reaction in 46Ti

The reaction ⁴⁶Ti(d, p) is studied at 10 MeV using the Aldermaston tandem Van de Graaff accelerator and a multichannel magnetic spectrograph. A total of 180 levels are observed up to an excitation of ≈ 7.2 MeV and the stripping angular distributions are analysed in terms of the DWBA theory of direct reactions using the NL/FR optical model potential. Spins, parities and spectroscopic factors are deduced for various levels. Summed spectroscopic factors and quasiparticle energies are obtained for shell model states. Properties of low-lying levels in ⁴⁷Ti are compared with the MBZ and Coriolis coupling models and also with those of the isotonic nuclei ⁴⁵Ca and ⁴⁶Sc.     

Production of baryon resonances in collisions of 4He nuclei with carbon nuclei at a momentum of 4.2 GeV/c per nucleon

Under conditions of 4π geometry, Δ⁰-and Δ⁺⁺-resonance production in collisions of ⁴He nuclei with carbon nuclei at a momentum of 4.2 GeV/c per nucleon was investigated for the first time. The resonance masses and widths are estimated by analyzing the experimental and background invariant-mass distributions of (pπ ^±) pairs. Contributions to pion production from Δ-resonance decays, as well as from direct pion production, are determined. The results are compared with corresponding data obtained for CC collisions at the same primary momentum of 4.2 GeV/c per nucleon. By and large, the results obtained here comply with the existence of a collective mechanism of delta-isobar excitation in nuclei.     

Evidence for shape deformations of fragments in deep inelastic collisions

The number and energy spectra of neutrons evaporated by the heavy and light fragments in deep inelastic collisions have been obtained for the system 240 MeV⁴⁰Ar +¹⁹⁷Au. They indicate that at the scission point the deformation energy is a large part of the total excitation energy espe cially for the light fragment. In the last two years, neutron emission has been studied in deep inelastic reactions^1?6. All the results are similar: the incident energy which is lost during the process is transformed into excitation energy of the final fragments and is shared between the two products proportionnally to their masses. This means that the nuclear temperature was uniform in the composite system. The excitation energy equilibration time is really very short since equilibration is achieved after reaction times as small as 10^?22 s^2,6. Moreover, no preequilibrium emission (direct neutrons-) has been observed.     

Unelastische Streuung in der dynamischen Theorie der Elektronenbeugung

A general solution to the fundamental equations of inelastic scattering of fast electrons in crystals is obtained by using a Green function constructed of Bloch waves. Inelastic interband transitions are shown to vanish if they are of a direct type, but not when implying simultaneous Bragg reflexion. These selection rules hold for any type of electron-crystal interaction. The resulting imaginary absorption potentials for the different intraband and interband transitions can be calculated separately. They are reduced to a simple form in the two-beam case. The expression measuring the anomalous absorption contains the Yoshioka potential C ₀ ⁱ g and an additional term which gives a small contribution in the case of crystal electron excitation and no contribution in the case of phonon excitation. Numerical calculations for the scattering of 100 keV electrons in Al, Cu, Ge, Si and MgO are made and compared with experimental data. An analytic expression forYoshioka's C ₀ ⁱ g due to plasmon excitation is derived which vanishes in the random phase approximation.