Coulomb break-up and possible evidence for cluster effects in some light nuclei

The possibility of obtaining information about cluster structures in light nuclei from Coulomb break-up experiments is discussed. A few favorable cases are pointed out. A preliminary estimate of the break-up cross section of⁷Li into alpha particles and tritons and of⁷Be into alpha particles and³He in the field of a heavy target nucleus is given. The need for more experiments as well as more refined calculations is stressed.     

Three-particle correlations from208Pb+6Li

Three-particle correlations in the reaction²⁰⁸Pb+⁶Li were studied near the Coulomb threshold between \(E_{6_{Li} } = 24\) and 30 MeV. Three reaction mechanisms contribute predominantly to the observed coincidences of the charged particles: 1. Coulomb excitation of the 2.184 MeV,J=3⁺ state of⁶Li, followed by the decay intoα+d, 2. Deuteron pick-up of the⁶Li to the ground state of⁸Be and sequential decay into twoα-particles and 3. Neutron-transfer to the ground state and the first excited states of²⁰⁹Pb:²⁰⁸Pb(⁶Li,αp). The last two reaction mechanisms explain the previously measured large contributions to theα-channel relative to thed-channel.     

Coulomb formation and evolution of muonium in vacuum

An exact calculation ofμ ⁺ e ^? Coulomb capture cross sections at various energies in the centre-of-mass system is reported. The population of 1s, 2s and 2p levels as function of the time elapsed after muonium formation is shown.     

On semi-quantal approximations to heavy-ion scattering

The coupled-channel equations for heavy-ion scattering are approximately solved in a closed form, in the context of semi-quantal approach. Our solutions are shown to contain dynamic polarization potentials (arising from two and/or multi-step processes) in a natural way. A closed form treatment, of the effects of dynamic polarization by Coulomb excitation, on the elastic scattering of deformed heavy-ions is also presented. As an example, we compare our results for quadrupole Coulomb excitation of¹⁸⁴W ions by¹⁸O ions at 90 MeV, with those obtained from optical model treatments.     

Coulomb excitation of the Kπ=16+ rotational band in178Hf

A heavy-ion multiple Coulomb excitation experiment on a very exotic target containing microweight quantities of¹⁷⁸Hf in the K^π = 16⁺ isomeric state has been performed at 4.77 MeV/u²⁰⁸Pb beam energy. The first excited I^π = 17⁺ state has been observed at an excitation energy of 357.4±0.3 keV with respect to the isomeric state. The intrinsic electric quadrupole moment ofQ ₀=8.2±1.1 b has been derived from the experimental data within the rigid rotor model.     

Energy dependence of11Li dissociation cross section

The Coulomb breakup cross section of¹¹Li is calculated as a function of its bombarding energy. Comparison is made to cross sections at 790 MeV/nucleon and 30 MeV/nucleon. Low energy reactions on a high-Z target show a greatly enhanced Coulomb breakup cross section that is more sensitive to the distribution of dipole response strength than high energy reactions thus providing more structure information.     

The quadrupole moment of176Lu

The intrinsic quadrupole moment of¹⁷⁶Lu has been determined by Coulomb excitation with α-particles to be 6.98±0.10 b. Evidence for a new level at approximately 578 keV with presumably collective structure is presented.     

Neutron binding and excitation energies of some Pb isotopes

The intrinsic quadrupole moment of¹⁷⁶Lu has been determined by Coulomb excitation with α-particles to be 6.98±0.10 b. Evidence for a new level at approximately 578 keV with presumably collective structure is presented.     

Two-particle configuration interaction in rare-earth ions

Summary The two-particle configuration interaction by way of Coulomb field in rare-earth ions is considered and the interaction energy matrices for the commonly studied cases off ⁿ (n=2, 3, 4) are calculated in terms of three parameters.     

On the evolution of the mass asymmetry in damped heavy-ion collisions

TotaT kinetic energy vs. fragment mass distributions have been measured in the reactions of⁶⁴Zn projectiles with¹¹⁴Sn,^natAg and¹³⁹La nuclei at incidence energies of 20–50% above the Coulomb barrier. Conclusions are drawn on the possible influence of nuclear structure effects on the energy dissipation and the mass drift behaviour of the present collision systems.     

Nuclear resonance fluorescence in94Mo,95Mo and96Mo

Using gaseous sources of Tc₂O₇ containing the radioactive isotopes⁹⁴Tc,⁹⁵Tc and⁹⁶Tc, levels at 871.0keV (⁹⁴Mo), 765.8, 820.6, 947.8, 1074.0keV (⁹⁵Mo) and 778.3keV (⁹⁶Mo) have been excited. From the effective cross sections for nuclear resonance scattering and from the lifetimes of the 947.8, 1074.0 and 778.3keV levels known from Coulomb excitation experiments the profiles of theγ-lines have been determined. A broadening of theγ-lines due to Coulomb explosion of the molecules has been observed. Making use of the line profiles, lifetimes ofΤ=(6.4±1.0) ps andΤ=(0.90 ± 0.20) ps have been determined for the 765.8 and 820.6keV levels, respectively. The angular distribution of the resonantly scattered radiation yields an amplitude ratioδ for the mixed M1 E2 765.8keV transition ofδ=0.14 _?0.009 ^+0.08 . TheB(E2) from a Coulomb excitation experiment and the lifetimeΤ from the present experiment yield ¦δ¦=0.07±0.01 for the 820.6keV transition.     

A study of the93Nb levels populated via the (n,n′ γ) reaction

De-excitation γ-rays from levels in⁹³Nb up to 2203 keV were observed following inelastic neutron scattering at incident energies between 0.6 and 2.575 MeV. The energy level and decay modes of⁹³Nb are deduced. Spin and parity assignments are based on the comparison of the experimental (n, n′) cross sections with calculated cross sections using Hauser-Feshbach theory corrected for level-width fluctuation corrections. The low-lying levels of⁹³Nb have been studied within the framework of the vibration-particle model to account for their energy and spin assignments, as well as the reduced transition probabilities measured in Coulomb excitation experiments.     

Coulomb energies and nuclear radii in the energy density formalism

The relation between Coulomb displacement energies,ΔE _c , andΔr=r _n -r _p , the difference between the rms radii of neutrons and protons in nuclei, is investigated within the energy density formalism (EDF). The variational equation, obtained by minimizing the Coulomb plus symmetry energies, is solved assuming the symmetry interaction is a simple functional of the local nuclear matter density. Varying parameters of the model, rather unique relation betweenΔE _c andΔr is obtained (within ±50 keV).ΔE _c isindependent ofr _ex, the rms radius of the excess neutrons distribution. Using the experimental values ofr _p and adjusting the model to reproduce the recent data onΔr (Δr∽~0.05 fm for⁴⁸Ca and²⁰⁸Pb), which are significantly smaller than those obtained from current Hartree-Fock calculations, the calculatedΔE _c agree with the experimental results. Using the value ofΔr～0.05 fm and the experimental values ofr _ex, a small compression (<0.02 fm) of the proton core in the analogue state relative to its parent state emerges, thus contributing an additional electrostatic term to the Coulomb displacement energy. The size of this relative core-compression effect depends on the values assumed forΔr andr _ex, it increases with the decreasing ofΔr and the increasing ofr _ex. IfΔr～0.05 fm the effect is large enough to remove the long standing Coulomb energy anomaly. The main result of the present work is the correlation betweenΔE _c andΔr, suggesting that the difficulties of current Hartree-Fock calculations in reproducing isotope shifts ofr _p , the small value ofr _n ?r _p and the values ofΔE _c may all be different manifestations of some missing residualp n effective interaction.     

High-energy fragments produced in the84Kr+93Nb reaction at 34.5 MeV/u

We have studied the heavy-ion capture reaction⁹Be(¹²C,γ)²¹ Ne at E_CM=3.5–6.6 MeV and Θ = 90. High-energyγ-rav decay to the low-lying states of²¹Ne was observed, even well below the Coulomb barrier.     

Coulomb interaction forJ=3/2− levels in9Be and9B

The Coulomb interaction is used to calculate energy shifts and mixing amplitudes ofJ=3/2^?,T=1/2 and 3/2 states in⁹B and⁹Be. For the 14.39 MeV level in⁹Be, a neutron width of 0.15 keV is calculated from theT=1/2 admixtures in the wave function.     

Coulombformfaktoren für7Li

Using refined clustermodel wave functions the Coulomb form factors for the elastic scattering of electrons as well as the formfactors for the inelastic scattering leading to the first and second excited states of⁷Li have been calculated.     

Analysis of Coulomb displacement energies and its relation to the proton halo structure of nuclei

We investigate the Coulomb displacement energies of the nuclear systems¹⁶ O core plus several nucleons. This analysis is performed in order to search for peculiarities of the nucleus²⁰Mg which was experimentally found to be a candidate for the occurrence of a proton halo. The structure of²⁰ Mg is discussed on the basis of this analysis. Some evidence is presented that proton correlations play an important role in the structure of this nucleus.     

Coulomb effects in low energy fission

The structures in the total kinetic energy (TKE) distributions in cold fission of²³⁴U and²³⁶U are interpreted in terms of the Coulomb interaction energy (C) between fragments at the scission point. The maximal value ofC, C _max, corresponding to the most compact scission configuration, is calculated for several mass fragmentations. It is shown that withQ being constant,C _max increases if one increases the charge asymmetry for a given primary fragmentation. This condition produces oscillations with a period of approximately 5 amu ofC _max as a function of the light fragment mass which are correlated with the observed oscillations of the maximal value of TKE. Moreover, the enhancement of the yields of the more asymmetric charge fragmentation for a given fragmentation is explained.     

Fission of238U induced by136Xe for energies close to the Coulomb barrier

Excitation functions and angular distributions have been measured for fission of²³⁸U induced by¹³⁶Xe ions with bombarding energies between 4.5 and 5.9 MeV/N. Structures expected theoretically as characteristic for Coulomb fission have not been observed. The Q-value of ?(7.5±1.0) MeV measured for bombarding energies below 4.7MeV/N, however, appears to be compatible with inelastic scattering (e.g. Coulomb excitation) rather than subcoulomb transfer followed by fission. The total kinetic energy of deep inelastic events at 5.9 MeV/N is consistent with the current knowledge about mass diffusion, but also (for the highest excitation energies) with a fast fission process in the presence of the projectile.