Neutron elastic and inelastic scattering from 28Si, 32S and 34S

Differential cross sections for the elastic and inelastic scattering of neutrons from the sd-shell nuclei ²⁸Si, ³²S and ³⁴S have been measured in the 20–26 MeV region. The data are analyzed in terms of the rotation-vibration (²⁸Si) and anharmonic vibration (^{32, 34}S) collective models. Isoscalar E2, E3 and E4 transition matrix elements are obtained from the normalized multipole moments of the real potential and the results are compared with those obtained from electromagnetic probes and from nuclear structure theoretical calculations.     

Large-angle 6Li + 28Si elastic and inelastic scattering at 27 and 34 MeV

Elastic and inelastic scattering data extending to θ_c.m ≈ 175° are reported for ⁶Li + ²⁸Si at 27 and 34 MeV. Optical model analyses of the elastic data were made using a variety of real potential forms. The large-angle data cannot be fitted with a Woods-Saxon real potential, but are well described by Woods-Saxon squared, double-folded or Fourier-Bessel potentials. The real potential is the same at both energies, but the imaginary potential is weaker at 27 MeV. The inelastic data were analyzed using the DWBA and coupled channels techniques with folded real form factors and deformed Woods-Saxon imaginary potentials, with the deformations taken from electron scattering. The 2⁺ state was fitted well at both energies with the DWBA, while the prediction decreased too rapidly at large angles for the 4⁺ state. The large-angle 4⁺ data were better described when two-step excitations were included in the coupled-channels calculations. The forward-angle 2⁺ data are sensitive to the interference between Coulomb and nuclear scattering and show that the nuclear and Coulomb deformation parameters β₂ are equal for this transition.     

Optical model analysis of proton-carbon elastic scattering in the range 20 to 50 MeV

The differential cross-sections for the elastic scattering of protons from¹²C with incident energies ranging in approximately 2 MeV steps between 20 and 50 MeV, are analyzed using a standard optical model.     

One-neutron transfer contribution to the elastic 32 S+ 32S scattering at Einc = 91.3 MeV

The elastic scattering differential cross section for ³²S incident on ³³S at E_inc = 91.3 MeV has been measured. The observed backward oscillations are successfully described by explicit inclusion of a parity-dependent term in the real potential for the optical-model calculations of the elastic scattering. To investigate possible sources of the parity-dependent term, the backward oscillations were also interpreted as being produced by the interference between the elastic amplitude and the one-neutron elastic one-step transfer process.     

Nuclear charge radii of Al and Si from elastic electron scattering between 25 and 60 MeV

Elastic electron scattering cross sections of²⁷Al and Si (natural isotopic mixture) have been measured relative to carbon. The rms charge radiiR _m , deduced with partial wave calculations, are (3.01±0.05) fm for²⁷Al and (3.06±0.05) fm for Si, in good agreement with results from muonic X-ray energies. The values given are those for a Fermi charge distribution with skin thickness 2.5 fm; harmonic oscillator shell model distributions yield radii smaller by 0.03 fm. The ratioR _m (²⁷Al)/R_m(Si) is 0.984±0.016.     

Optical-model analysis of the elastic scattering of 100 MeV protons from Mg and Si

Elastic scattering differential cross sections for the interaction of 100 MeV protons with ²⁴Mg and ²⁸Si have been measured using a high-resolution Ge(Li) spectrometer to resolve the inelastic scattering contribution to the elastic peak. The results have been analysed using the conventional optical model, and the experimental differential cross sections and total reaction cross section are excellently reproduced. The results agree with previous analyses of the elastic scattering of 100 MeV protons on 1p shell nuclei in that no set of geometric parameters can provide a quantitative fit to both nuclei. It is observed, however, that the fluctuations of the optical-model parameters for optimum fits are decreased over the fluctuations observed for the 1p shell nuclei. The present results combined with previous optical-model analyses on ²⁴Mg and ²⁸Si at 50 MeV and 40 MeV respectively, are found to be consistent with an energy dependence of dV/dE ≈ −0.3 for the depth of the real central potential in agreement with other, more extensive, investigations of the energy dependence for protons elastically scattered from ¹⁶O and ⁴⁰Ca.     

Nucleon elastic scattering from 40Ca between 11 and 48 MeV

Differential cross sections for the elastic scattering of neutrons from ⁴⁰Ca have been measured in the 19–26 MeV region. The neutron elastic scattering data, previous neutron measurements and additional proton elastic scattering data are analyzed using three different approaches to the optical model potential: Woods-Saxon parameterization, model independent analysis and microscopic calculations. The difference between the phenomenological neutron and proton real potentials is studied in terms of Coulomb effects, nuclear polarization and charge symmetry breaking in the nuclear mean field.     

Folding-model analysis of the inelastic scattering of 32S on 40Ca at 100, 120 and 151.5 MeV

The angular distributions for the 2⁺ level of ³²S at 2.24 MeV and 3⁻ level of ⁴⁰Ca at 3.74 MeV have been measured at 100, 120 and 151.5 MeV ³²S bombarding energies and the 3⁻ level of ³²S at 5.01 MeV at 120 and 151.5 MeV. The levels have been analysed by the coupled-channel approximation using real potentials and form factors deduced from the folding model. It has been found that the energy dependence of the folding-model renormalization coefficient decreases in comparison with that found in the elastic-channel analysis and that an overall energy-independent renormalization coefficient seems to be needed.     

Microscopic and conventional optical model analysis of neutron elastic scattering at 21.6 MeV over a wide mass range

Differential fast neutron elastic scattering angular distributions have been measured at 21.6 MeV for the natural elements Mg, Al, Si, S, Ca, Cr, Fe, Co, Ni, Y, Ce, Pb_r (radiogenic lead) and Bi by employing pulsed beam time-of-flight techniques. The energy resolution was about 0.5 MeV (FWHM) throughout the measurements. The experimental data have been analysed in terms of a standard phenomenological spherical optical model. Potential depths and geometrical parameters were determined from individual best fits to the data. Volume integrals of the real and imaginary parts of the potential were calculated using these parameters. A similar technique was utilized to calculate root mean square radii of the real potential, from which radii of point matter distributions were obtained for comparison with α-particle scattering data at 166 MeV and with charge distribution radii from electron scattering.Microscopic folding models for the optical potential according to Jeukenne, Lejeune and Mahaux, Brieva and Rook, and Yamaguchi et al. have been tested by calculating angular distributions, volume integrals and root mean square radii for the real and imaginary potential parts. The results of these calculations are compared with those of the phenomenological analyses. The microscopic potentials have also been intercompared by studying introduced normalizing parameters of the real and imaginary potential parts as well as isovector and isoscalar contributions to the volume integrals.     

Optical model analysis of90, 92, 94, 96Zr+4He elastic scattering at 35.4 MeV

The elastic scattering data of 35.4 MeV alpha particles from Zr-isotopes have been analysed using the optical model. Both the phenomenological and the folding model potentials have been employed in fitting the data with the optical model. The resultant systematics. concerning the volume integrals and the root mean square radii are summarized.     

Neutron scattering and neutron emission cross sections on 27Al, 93Nb and 209Bi at 7 MeV

Elastic and inelastic neutron scattering and neutron emission at 7 MeV incident energy has been studied for monoisotopic samples of ²⁷Al, ⁹³Nb and ²⁰⁹Bi. Time-of-flight spectra were taken at nine angles between 30° and 140° using the beam-swinger spectrometer. The efficiency of the neutron detectors was maximized using a dynamic bias; low background was obtained throughout the neutron energy detected which correspond to about 6 MeV excitation energy. The data were converted to energy spectra and corrected for sample attenuation, finite geometry and multiple scattering. For unresolved states the data were averaged over 0.5 MeV energy bins. Calculations for elastic and inelastic transitions and for compound and precompound processes are presented.     

Nuclear structure and direct reaction mechanism in neutron scattering on 28Si in the energy range 6.8 to 14.8 MeV

The structure of excited states in ²⁸Si as well as the energy dependence of the reaction mechanism are investigated. Angular distributions related to the 0₁⁺, 2₁⁺, 4₁⁺, 0₂⁺, 3₁⁺, 2₂⁺ + 2₃⁺, 3₁⁻ + 4₂⁺ levels in the ²⁸Si(n, n′) reaction were measured at incident energies 6.8, 7.0, 8.0 … 12.0 MeV. The analysis was extended up to 14.8 MeV bombarding energy. The experimental cross sections are described by means of a coupled-channel calculation including compound nucleus contributions. The low-lying excited states can be interpreted by a rotational model with prolate but also with oblate g.s. deformation. For the higher-lying states various coupling schemes have been tested. Especially, a second rotational band could be described adopting an oblate deformation.     

Elastic scattering of polarized deuterons from Al, Si and Ni between 7 and 11 MeV

Polarization parameters have been determined for deuteron elastic scattering from ²⁷Al, Si and ⁶⁰Ni at energies between 7 and 11 MeV and laboratory scattering angles from 30° to 135°. The vector polarization, iT₁₁, and two tensor parameters T₂₀ and T₂₂, were measured by scattering polarized and unpolarized deuterons which were obtained from a tandem accelerator. The largest polarization was |iT₁₁| ≈ 0.3 and |T₂₀| ≈ 0.2 for ²⁷Al at 11 MeV. For ⁶⁰Ni, the observed polarizations were substantially smaller. Angular distributions of the unpolarized cross section were also measured for ²⁷Al and Si. An optical-model analysis of the polarization and cross-section data was performed. The vector polarization was reproduced reasonably well by a vector spin-orbit coupling of similar strength as found for nucleon scattering. A tensor interaction appears to be needed to account for the observed tensor polarizations.     

Deep inelastic collisions of32S +27Al reaction at 130 MeV bombarding energy

The³²S +²⁷Al reaction was studied to investigate the deep inelastic collisions at a bombarding energy of 130 MeV which is well above the Coulomb barrier. The energy distributions of the binary decay products of 6⩽Z⩽10 were determined using a large area position sensitive ionization chamber. The average kinetic energies of the reaction products indicate that the exit shapes correspond to highly stretched scission configurations in the deep-inelastic processes.     

Comparisons of vector analyzing-power data and calculations for neutron-deuteron elastic scattering from 10 to 14 MeV

High-accuracy analyzing-powerA _y() data forn-d elastic scattering at 12 MeV have been measured using the polarized-neutron facilities at the Triangle Universities Nuclear Laboratory (TUNL). The present data have been combined with our previousn-d measurements at 10, 12, and 14.1 MeV to form the highest-accuracyA _y() data set forn-d elastic scattering below 20 MeV. These data are compared to recent Faddeev-based neutron-deuteron (n-d) calculations which use the Paris and Bonn equivalent separable potentials PEST and BEST, as well as Doleschall's representation of theP- andD-wave nucleon-nucleon interactions. None of these models adequately describe the data in the angular region around the maximum ofA _y(). Possible reasons for the discrepancies are discussed. The sensitivity of the present Faddeev-based calculations to various angular momentum components of the nucleon-nucleon interaction are examined.     

Resonances in low energy elastic scattering of α-particles from28Si

The elastic scattering of α-particles from²⁸Si at incident energies between 5 and 12 MeV (4.4 and 10.5 MeV in the centre-of-mass system) was studied to ascertain whether quasimolecular states exist for the α+²⁸Si system, as predicted in the literature in terms of a microscopic theory based on the generator coordinate method. Angular distributions were obtained for angles larger than 70°, in energy steps of 100 keV. Analysis of the experimental data was performed by coherently adding specific resonances to an underlying optical model which describes the background portion of the direct elastic scattering amplitude. As is usual, it was furthermore assumed that the average compound elastic contribution adds incoherently to the total cross section. In spite of the presence of a resonance characterized by an angular momentum value ofJ=3 in the energy region, as required by theory, no evidence could be found for the existence of other resonances with the expectedJ-sequence. We conclude that our experiment and analysis do not support the predictions of the microscopic theory.