The Nuclear Spin Scissors Mode—Theory and Experiment

A new type of nuclear collective motion—the spin scissors mode—was predicted seven years ago. Promising signs of its existence in ²³²Th were found. We perform a systematic analysis of experimental data on M1 excitations in rare earth nuclei to find traces of the spin scissors mode in this area. Obvious signs of its existence will be demonstrated. We propose new criteria to attribute the observed 1⁺ states to the scissors mode, entailing that the agreement of the experimental data with the results of our calculations and with the sum rules is improved substantially.     

Location of multiparticle-multihole strength in 16N via the 3-particle transfer reaction 13C(α, p)16N at 118 MeV

Differential cross sections were measured for the ¹³C(α, p)¹⁶N reaction at E_α = 118 MeV for an excitation energy range up to 14.5 MeV. Zero-range distorted wave Born approximation (DWBA) calculations were performed using microscopic form factors. Spin-parity assignments are suggested for states at 11.21 MeV (6⁻) and 11.81 MeV (7⁻) on the basis of Bansal-French-Zamick weak coupling calculations and DWBA calculations. Arguments from ¹⁶O(e, e'), ¹⁶O(p, p') and the present experiment are given relating to the location of J^π = 4⁻, T = 1 strength in ¹⁶N.     

Weak isoscalar response of 11B

Weak-interaction responses of ¹¹B were studied by measuring the ¹¹B(³He, t) and ¹¹B(p, p′) reactions. Obtained nuclear transition matrix elements B(GT), B(στ), and B(σ) were compared with the shell-model calculations. The shell-model calculations, which explained the isovector parts B(GT) and B(στ) reasonably well if the quenching factors of 0.5–0.7 were taken into account, did not describe the isoscalar part B(σ).     

Effects of channel non-orthogonality in (d,p) reactions

Coupled channel calculations for (d, p) reactions were performed in which a strong coupling between the d and p channels was assumed. Reactions investigated were ¹⁶O(d, p) ¹⁷O(2s) and ⁴⁰Ca(d, p) ⁴¹Ca(2p) at E_d =10.5 MeV and the related (d, d) and (p, p) scattering processes. The nonorthogonality of the d- and p-channels were taken into account. The results of these calculations are presented and are compared with the coupled channel calculations neglecting the channel nonorthogonality and also compared with the DWBA and optical model calculations.     

High-resolution Fourier transform spectroscopy of D2CO in the 8- to 12-μm region

The Coriolis-coupled ν₃ (1100 cm⁻¹), ν₆ (989 cm⁻¹), and ν₄ (938 cm⁻¹) fundamental bands of D₂CO have been recorded with a BOMEM Model DA 3.002 Fourier transform spectrometer at an apodized resolution of 0.004 cm⁻¹. A total of 3704 transitions have been assigned in the 780- to 1200-cm⁻¹ spectral region. Constants have been determined for terms up to P⁶ in centrifugal distortion and up to P³ in Coriolis interaction. These constants reproduce the observed spectra with residuals for well-resolved lines that are less than 0.0004 cm⁻¹, one-tenth of the resolution. Relative signs of the transition moments have been determined by comparison of observed and calculated relative intensities of perturbed transitions. Five new assignments for far-infrared laser lines pumped by CO₂ lasers have been obtained as a result of calculations based on the determined constants.     

Proton-hole states in 57Co studied with the 58Ni(d, 3He) 57Co reaction at 78 MeV

The ⁵⁸Ni(d, ³He)⁵⁷Co reaction was measured at a bombarding energy of 78 MeV. Energy levels up to 7.0 MeV excitation energy in ⁵⁷Co were studied. Angular distributions of the ³He particles, corresponding to transitions to the ground state and to 42 excited states in ⁵⁷Co, were analyzed in the range of θ_lab = 2.7° to 25°. Exact finite-range DWBA calculations were employed to extract l-values and spectroscopic factors. Shell-model calculations were carried out in an fp-shell model space. In addition, calculations of the energy levels in ⁵⁷Co were performed in the SU(6) particle-vibration model (PTQM). Satisfactory agreement is observed between the experimental results and both theoretical predictions.     

New electronic transitions in the N2+ ion: Rotational analysis of the D′2Πgr-A2Πui transition: Comparison of experimental and ab initio calculated molecular constants

Rotational analysis has been carried out for the first time for bands of the D′²Π_g-A²Π_u system of the N₂⁺ ion. At the same time, ab initio calculations were performed using the SCF method followed by full-valence configuration interaction calculations. Theoretical results are presented as required for interpretation of the spectra.     

Structure of neutron-rich s-d shell nuclei

States in neutron-rich s-d shell nuclei were populated in the reaction of a ¹⁴C beam at E _lab=22 MeV on a ¹⁴C target. Coincidences between γ rays and either other γ rays or light charged particles were measured. γ rays in coincidence with protons established levels at 66.8, 1730, 1823, and 2219 keV in ²⁷Na. The states are compared with calculations based on the s-d shell model and the cranked Nilsson-Strutinsky model. A number of levels in ²⁴Ne were observed in both α-γ and α-γ-γ coincidences and are compared with shell-model calculations.     

Theoretical study on the vertical electronic spectrum of nitrosyl fluoride (ONF)

Combined self-consistent field and configuration-interaction calculations were carried out on the excited states of nitrosyl fluoride. Results of these calculations confirm the assignment of the electronic transition 1¹A″ ← X¹A′ observed to occur between 3.70 and 4.77 eV, with an absorption maximum at 3.99 eV. A comparative study between the calculated vertical spectra of HNO and ONF is made.     

Test of electron screening and vacuum polarization in heavy muonic atoms

Energies of higherΜ X-rays have been measured in¹⁰³Rh,^natHg and²⁰³Tl to test the vacuum polarization correction and the electron screening effect in heavy muonic atoms. For tests of the energy calibration delayed nuclearγ-rays from theΜ-capture reaction were used. The experimental data agree to better than 4% with self-consistent Hartree-Fock calculations of the electron screening. Transitions which are sensitive to the vacuum polarization correction mainly, verify the calculations to better than 1.5%. Comparing all at present existing experiments with latest calculations no significant deviation of more than 0.7% of the vacuum polarization correction can be deduced.     

Nuclei in the vicinity of ‘island of inversion’ through the fusion reaction

The level structures of N ～ 19 nuclei such as ^32,34P have been investigated using the ¹⁸O(¹⁸O,xnyp) and ¹⁸O(¹⁶O,xnyp) reactions at an incident beam energy of about 34 MeV. The de-exciting γ-transitions were recorded using an array of clover detectors. These detectors have the dual advantage of higher efficiency at E _γ ≥ 2 MeV, and are capable of providing information on the linear polarization of the observed γ-transitions. These polarization measurements when coupled with the angular correlations help us to assign uniquely the spin parity for the observed levels. The experimental results have been compared with the predictions of the spherical shell model. The shell-model calculations are able to reproduce the observed energy levels to a reasonable degree. However, the observed transition probabilities are not reproduced by the calculations. Hence there is a need to re-visit these calculations using more detailed and microscopic effective interactions.     

Level properties of the light even Sb nuclei 112, 114, 116Sb

The level properties of ^{112, 114, 116}Sb have been investigated with the reactions ^112,114,116Sn(p, nγ)^112,114,116Sb and ¹¹⁵In(³He, xnγ)^112,114Sb (x = 6, 4). Singles γ and electron spectra, neutron-γ coincidences, γ-γ coincidences, excitation functions and half-lives were measured. Hauser-Feshbach calculations were performed for spin assignments. A number of new levels were found, including two 8^? isomeric states. The results are compared with recently performed 2qp calculations.     

The (d, 6Li) reaction on 12C, 16O, 24Mg, 40Ca and 58Ni at 54.25 MeV

The (d, ⁶Li) reaction was studied at E_d = 54.25 MeV on the target nuclei ¹²C, ¹⁶O, ²⁴Mg, ⁴⁰Ca and ⁵⁸Ni. The data were analyzed with finite-range DWBA calculations. The absolute values of the α-cluster spectroscopic factors and the target mass dependence of the relative S_α were in agreement with those in the (p, pα) reaction at E_p = 100 and 157 MeV. The theoretical calculations of the relative S_α were in better agreement with the experimental data at higher energy than at the lower energies.     

X-ray M4,5 resonant Raman scattering from Gd with final 4p hole: calculations with 4p–4d–4f configuration interaction in the final state and comparison with the experiment

We present calculations of resonant Raman scattering (RRS) at the M_4,5 thresholds of Gd in the scattering channel 3d¹⁰4f⁷→3d⁹4f⁸→[4p⁵4f⁸↔4d⁸4f⁹]. We have included in the final state the interaction between the two configurations within the brackets, having one 4p and two 4d holes, respectively. The influence of the configuration interaction on the scattering spectra is shown to be important. The calculations are made within a purely ionic model including only the spectral features dispersing with the incident photon energy and do not account for the M₄ to M₅ Coster-Kronig conversion. The calculations are compared with recent experimental results on Gd metal. The agreement is excellent when choosing the excitation energy in the M₅ region. In the M₄ region the calculations agree with the measurements by assuming that the Coster-Kronig contribution is approximated in shape by the RRS spectrum measured with direct M₅ excitation. The implications of the results are discussed.     

High resolution investigation of 91Mo and 92Mo via (p,d) and (p,t) reactions on 90Mo

The (p, d) and (p, t) reactions on ⁹²Mo have been studied at a proton energy of 28.0 MeV. Using an Enge split-pole spectrograph, resolutions of 11–15 keV for the detected deuterons and tritons were obtained. A total of 87 levels up to 4.9 MeV in ⁹¹Mo and 25 levels up to 4.0 MeV in ⁹⁰Mo were found, several of which were previously unknown. By comparing the measured angular distributions with DWBA calculations l-values and spectroscopic factors were determined. The results are compared with data from previous experiments on ⁹¹Mo and ⁹⁰Mo, with experiments on other N = 49 and 48 nuclei, and with theoretical calculations.     

Analyzing power measurements for p-3He elastic scattering from 1.75 to 4.50 MeV

Analyzing powers for p-³He elastic scattering have been measured at 12 energies between 1.75 and 4.50 MeV for θ_c.m. = 40° to 150°. A comparison of our results with earlier data of Drigo et al. shows substantial differences at all energies. The R-matrix fits to our data that were included in the global search calculations of Hale and Dodder are shown. These calculations established the ordering of the lowest-lying T = 1 levels of ⁴He as J^π = 2^?, 1^? (triplet), 0^?, and 1^? (singlet), which is the WMI (MHI) ordering.     

Dirac coupled-channels analysis of inelastic scattering of 800 MeV polarized protons from 16O, 24Mg and 26Mg

Coupled-channels calculations using the Dirac phenomenology have been performed to analyse cross sections and analyzing power data for inelastic scattering of 800 MeV protons from low-lying states in ¹⁶O, ²⁴Mg and ²⁶Mg. Large negative reals scalar potentials, large positive real vector potentials and large negative imaginary vector potentials were obtained. Considerable improvements were obtained using the Dirac equation compared to the classical Schrödinger calculations. These best fits have been found compatible with an imaginary scalar potential equal to zero (U_sⁱ=0) and therefore with less parameters (nine) than usually required in the classical calculations (twelve).     

The 18O(18O, 16O)20O reaction at 52 MeV

The structure of the ²⁰O nucleus was studied by the ¹⁸O(¹⁸O, ¹⁶O)²⁰O reaction at E_1ab = 52 MeV. Angular distributions for the transitions to the lowest four states in ²⁰O were obtained and analyzed with finite-range DWBA calculations. Optical potential sets were used which fit the experimental elastic scattering differential cross sections over almost the whole angular range. The two L = 0 transitions to the ground state and the 4.45 MeV state of ²⁰O populated by the ¹⁸O(¹⁸O, ¹⁶O) reaction were analyzed with exact finite-range DWBA calculations using microscopic form factors. These calculations underestimate the absolute cross sections by a factor of 11. The relative strength of the two L = 0 transitions is well reproduced in the ¹⁸O(¹⁸O, ¹⁶O) reaction. However, DWBA calculations for the ¹⁸O(t, p)²⁰O reaction overestimated the relative cross sections for the excited 0⁺ state by a factor of 6. Several model wave functions were tested for the ground-state transition. It was found that the absolute cross sections of the (¹⁸O, ¹⁶O) reaction are very sensitive to the mixing of shell-model configurations. The angular distribution shapes are also slightly dependent on the mixing.