E2 nuclear resonance effects in pionic and kaonic atoms

The attenuation due to the E2 nuclear resonance effect has been measured in hadronic atoms using pions with ¹¹¹Cd and ¹¹²Cd, and for kaons with ¹²²Sn. Energies of the relevant X-ray and γ-ray transitions and of the X-ray cascade intensities have also been measured so as to give a self-consistent set of information. The results are found to be in very good agreement with theoretical calculations.     

E2 nuclear resonance effect in pionic atoms

The quadrupole nuclear resonance effect in pionic atoms is considered, and the results of calculations for pionic atoms with distorted even-even nuclei are presented.     

0+ states and E0 and E2 transition rates in even Sn nuclei

0⁺ states and their depopulating E0 and E2 transitions have been studied in ^112–124Sn. Several methods of γ-ray and electron spectrometry have been employed, including special coincidence techniques for lifetime, conversion electron and double Coulomb excitation measurements. For ^114–118Sn the E2 transition probabilities from the first excited 0⁺states (0₂⁺) are about 20 W.u., which is compatible with a vibrational two-phonon character. Also the E0 transition probabilities from these states are within a factor of two from the vibrational values. For the second excited 0⁺ states (0₃⁺) the corresponding E2 and E0 transition probabilities are considerably smaller. A total of 12 E0 transitions have been observed. The 0₃⁺ → 0₂⁺ transition is observed in ^114–120Sn and has in ¹¹⁶Sn a reduced transition probability 1–2 orders of magnitude larger than those of the groundstate E0 transitions, which indicates that the 0₃⁺ and 0₂⁺ states are strong mixtures of components with different 〈r²〉. The 0⁺ states in ¹¹⁶Sn are discussed as possible rotational band heads associated with a deformation β₂ ≈ 0.2. The Coulomb excitation cross section of the 0₂⁺ state is found to be sensitive to an interference term including matrix elements with the 2₂⁺ state. The relative sign of this term has been determined.     

Systematics of nuclear level density parameters of nuclei deficient in one neutron

Photoneutron mean energies of 38 elements were measured as a function of peak bremsstrahlung energy for elements with 23 ≦ Z ≦ 83. Results are compared with neutron mean energies calculated from statistical theory, using for nuclear level densities modified Fermi gas formulae with and without pairing corrections and a constant temperature formula. Except near closed shells the Fermi gas formula with pairing corrections gives reasonable to good correlation between experimental and theoretical data. Derived values of the nuclear level density parameter a-except near Z = 82-are in quantitative agreement with those from recent neutron resonance data.     

The E1 and E2 strength in the electrofission of some heavy elements

Measurements of the electrofission cross section for ²³²Th, ²³⁸U and ²³⁷Np have been made for an electron energy range from 20 to 120 MeV. A comparison is made between the electrofission and photofission cross sections using the concept of virtual photons. It is deduced that the electrofission reaction for these elements proceeds through a significant E2 contribution as well as an E1 transition mode.     

Dynamic electron screening in nuclear and mesonic atom E1 transitions

Atomic electrons can influence the electromagnetic transition rates of nuclei and mesonic atoms. We examine this dynamic electron screening effect for E1 transitions. The screening factor is expressed in terms of the forward Rayleigh scattering amplitude, and, for easy computation, the photoelectric cross section. We find that the effect can be large for low-energy transitions, but such transitions are rare for nuclei. The effect on mesonic atom cascades is usually small, but can be quite significant for high-precision experiments and those which look at transitions from high initial n.     

High momentum transfer approach to inelastic electron scattering on nuclei and model-independent description of nuclear transition densities

A method of approximating the DWBA transition amplitude at higher momentum transfers is given. It leads to quantitative agreement with the DWBA values, combined with a considerable saving of computing time. The method permits model-independent analyses of inelastic data at higher momentum transfers. The influence of uncertainties in the ground state charge density on the inelastic cross section is studied and found to be negligible. Regardless of the magnitude of Coulomb distortions, the multipole moments B(τ; L, q) are shown to be model-independent quantities for those values of q which lie in the region of measured momentum transfers.     

Total cross-section measurements for the production of nuclear gamma rays from light nuclei by low-energy deuterons

The thick target yields of the reactions ⁶Li, ⁹Be, ¹⁰B(d, nγ) for specific final nucleus γ-rays have been measured between deuteron bombarding energies of 48 and 170 keV. The measured thick target yields are used, together with recently published values of the stopping power of low-energy deuterons in matter, to infer the total reaction cross sections for the production of the specific γ-rays between deuteron energies of 65 and 160 keV. The cross sections are compared to appropriate Coulomb barrier penetration probabilities and the astrophysical functions S(E) are deduced.     

E0/E2 and E2/M1 multipole mixing amplitudes of γ-transitions in 192Pt

Angular correlation measurements of conversion electrons and γ-rays in ¹⁹²Pt following the decay of ¹⁹²Ir (74 d) have been made. In particular, the 296 keV e^?-316 keV γ correlation was measured in order that the electric monopole admixture in the 296 keV transition could be determined. The results of the angular correlation coefficients measured here and the ratio of K-shell to L_III shell conversion electrons measured by others are: ?0.09 < q < +0.26 as +62 < λ < +92 or ?0.29 < q < ?0.06 as ?5 < λ < +45. A possible explanation of the disagreement between two earlier measurements is suggested. The angular correlation coefficients for the measured e^?-γ and γ-γ cascades and the derived multipole mixing ratios are tabulated and compared with other recent measurements and with the predictions of the Kumar-Baranger nuclear model.     

Change of angular and energy distributions in nuclear reactions with long-living intermediate states due to collisions with atoms during the reaction

The influence of collisions of the intermediate nuclear system with target atoms on angular and energy distributions of reaction products is investigated with respect to the exploration of reaction times.     

The droplet model energy of axially asymmetric nuclei

The shape dependent factors of the droplet model energy are evaluated for the special case of an ellipsoid and expressed in terms of four incomplete elliptic integrals. Generalization to other axially asymmetric shapes is considered.     

Evidence of an isoscalar E3 giant resonance in 16O

Differential cross sections and analyzing powers for the inelastic scattering of polarized protons from ¹⁶O leading to the 2^? state at 8.88 MeV excitation have been measured at incident energies of 31.7, 33.8, 35.8, 36.8 and 39.9 MeV. These data have been analyzed using a distorted wave theory in which the effects of virtual excitation of E1, E2 and E3 giant resonances as doorway states are included explicitly. This analysis shows that the strong energy variation in the data between 30 and 40 MeV may be predominantly due to a new isoscalar E3 resonance with the contributions from the E1 and E2 resonances corroborating earlier findings.     

(γ, p) cross sections and isospin splitting of the giant dipole resonance in N = 50 nuclei

The differential (e, e'p) cross sections of ⁸⁸Sr, ⁸⁹Y, ⁹⁰Zr and ⁹²Mo have been measured at θ = 90°. The results are used to obtain the (γ, p) cross sections by correcting with the angular distribution data. The (γ, p) cross sections are compared with the (γ, n) cross sections. A resonance corresponding to the T_< GDR is found and another resonance is separated by fitting a Lorentz line with a width equal to that of the (γ, n) GDR. The ratios σ(γ, p)/σ(γ, n) and σ(γ, p₀)/σ(γ, p) show differences between the two resonances. The two GDR resonances are studied from the isospin splitting point of view. The sum rule and splitting energy of the (γ, p) GDR agree well with theory. However, when the sum of the (γ, p) and (γ, n) experimental data is taken, the results are too large to be explained by the T_> GDR.     

E1 isobaric analogue resonances of strongly deformed nuclei in (e,e′p) reactions

The cross sections of the (e, e′p) reaction on the deformed nuclei ¹⁵⁹Tb, ¹⁶⁵Ho, ¹⁶⁹Tm, ¹⁷⁵Lu and ¹⁸¹Ta have been measured in the vicinity of the ground isobaric analogue state. Resonances corresponding to the E1 isobaric analogue states are found and displacement energies are calculated from these resonances. These energies are smaller than those obtained from proton scattering, which shows their dependence on the reaction type. The radiative widths of the E1 transitions of the isobaric analogue resonances were obtained. The ratio of these to the single-particle width calculated with the Nilsson model is order of 0.1–1 for non-spin-flip transitions and more than 10² for spin-flip transitions. These results are similar to those of the spherical nuclei ¹³⁹La, ¹⁴¹Pr, ²⁰⁷Pb and ²⁰⁹Bi.     

Quadrupole interactions in pionic and kaonic atoms

We discuss the quadrupole hyperfine structure in mesonic atoms for nuclei with spin I 1. The optical potential is expanded in terms of the non-spherical density contributions. Examples are given for the hyperfine splitting of peripheral and deeper-lying states in pionic and kaonic atoms.     

The absorption of π− at rest on complex nuclei

The energy, width and intensity of prompt nuclear γ-rays following capture of π^? at rest by ⁹Be, ¹⁰B, ¹⁶O, ¹⁹F, ³¹P, Ca and ⁹³Nb were measured with a Ge(Li) detector. In most cases it was possible to identify the final nucleus from the energy of the observed γ-ray. Using the measured Doppler broadening of γ-rays from short-lived states, the vector sum momentum distribution of the emitted nucleons was calculated. From the measured γ-ray intensities, isotopic yields were deduced corresponding to the removal of from 1 to 12 nucleons. The average number of removed nucleons changes from 3.0 to 5.5 as the target varies from ¹⁶O to ⁴⁰Ca. A comparison was made with data from both spallation reactions and multi-nucleon pickup reactions.     

Δ-Propagation in nuclear matter: The effects of the Pauli principle

A field theoretical model for the Δ-propagation in nuclear matter is presented. At the lowest order of the perturbation theory we have calculated the proper self-energy, the width and the residuum of the propagator as functions of the Δ-momentum and obtained the dispersion relation. This approximation coincides with the effect of the Pauli principle at the lowest order of the nuclear density. The results depend significantly on the momentum and the helicity of the Δ. However when the momentum approaches zero several inconsistencies appear. In particular the dispersion relation at small momenta is not a smooth function of the density and the effective mass comes out to be negative. On the other hand the results are meaningful at sufficiently large momenta where the Pauli principle provides, on the average, an upward shift of a few MeV and a slight reduction of the width.     

(3He, 2n) excitation functions for some light nuclei

Excitation functions have been measured for the reaction ⁹Be(³He, 2n)¹⁰C over the range $\text{E(}{}^3\text{He}\text{) = 10–41}\text{MeV}$ and for the reaction ²⁷Al(³He, 2n)²⁸P over the range $\text{E(}{}^3\text{He}\text{) = 14–41}$ MeV by detecting β-delayed γ-rays. An excitation function has also been measured for the reaction ²⁴Mg(³He, 2n)²⁵Si over the range $\text{E(}{}^3\text{He}\text{) = 21–43}\text{MeV}$ by detecting β-delayed protons.     

The pairing correlations and nuclear shapes at very high angular momenta

The usual Strutinsky shell corrections include the pairing correlations in the BCS approach. At high-spin states the cranked intrinsic wave functions are not symmetric or antisymmetric under time reversal symmetry for general triaxial shapes. On the basis of the Hartree-Fock-Bogoliubov (HFB) approach two generalizations of the Strutinsky procedure are given to describe pairing correlations also for high-spin states and triaxial shapes. The method is applied to the neutron-deficient rare earth nucleus ¹⁵⁰Gd. It is found that pairing has an important effect on the change of nuclear deformation with increasing angular momentum. The proton pairing persists at least up to I ≈ 40.