A microscopic description of the vibrational spectra in even spherical nuclei

The previously developed multiphonon method is applied to the study of the quadrupole vibrational motion in even-even spherical nuclei. For the first time calculations with a model Hamiltonian containing pairing and quadrupole-quadrupole interactions are performed up to four phonons. The contributions of all the parts of the Hamiltonian are analyzed and it is shown that some terms generally omitted cannot be neglected.     

Role of higher multipole excitations in the electromagnetic dissociation of one-neutron halo nuclei

We investigate the role of higher multipole excitations in the electromagnetic dissociation of one-neutron halo nuclei within two different theoretical models --a finite-range distorted-wave Born approximation and another in a more analytical method with a finite-range potential. We also show, within a simple picture, how the presence of a weakly bound state affects the breakup cross-section.     

On the microscopic description of the low-lying states in doubly even 2p-1f shell nuclei

The intrinsic states of doubly even Ti, Cr, Fe and Ni isotopes are obtained by carrying out HFB calculations employing a modified version of the Kuo-Brown effective interaction. The angular momentum projected spectra, the quadrupole moments of the first excited states as well as the reduced transition probabilities for E2 transitions are calculated and compared with the experiments. The overall agreement between the calculated and experimental results is quite good.     

Gamow shell model description of neutron-rich nuclei

This work presents the first continuum shell-model study of weakly bound neutron-rich nuclei involving multiconfiguration mixing. For the single-particle basis, the complex-energy Berggren ensemble representing the bound single-particle states, narrow resonances, and the nonresonant continuum background is taken. Our shell-model Hamiltonian consists of a one-body finite potential and a zero-range residual two-body interaction. It is demonstrated that the residual interaction coupling to the particle continuum is important; in some cases, it can give rise to the binding of a nucleus.     

Collective multipole excitations of exotic nuclei in relativistic continuum random phase approximation

The isoscalar and isovector collective multipole excitations in exotic nuclei are studied in the framework of a fully self-consistent relativistic continuum random phase approximation （RCRPA）. In this method the contri- bution of the continuum spectrum to nuclear excitations is treated exactly by the single particle Green＇s function. Different from the cases in stable nuclei, there are strong low-energy excitations in neutron-rich nuclei and proton-rich nuclei. The neutron or proton excess pushes the centroid of the strength function to lower energies and increases the fragmentation of the strength distribution. The effect of treating the contribution of continuum exactly is also discussed.     

Antimagnetic rotation band in nuclei: a microscopic description

Covariant density functional theory and the tilted axis cranking method are used to investigate antimagnetic rotation (AMR) in nuclei for the first time in a fully self-consistent and microscopic way. The experimental spectrum as well as the B(E2) values of the recently observed AMR band in (105)Cd are reproduced very well. This gives a further strong hint that AMR is realized in specific bands in nuclei.     

On the microscopic description of nuclei at high spins

The behaviour of nuclei at high angular momenta is studied within the framework of many-body Greenfunctions. A theory is developed which can be applied to interacting Fermi-systems in strong external fields. In a qualitative calculation, using the semiclassical approximation, it is shown that at high angular momenta the groundstate band can nearly coincide with the first vibrational band, which corresponds to a breakdown of the usual RPA approximation. We also obtain the socalled “backbending” effect.     

Microscopic description of mixed-symmetry states in nearly spherical nuclei

We adopt the quasiparticle-phonon model to investigate the phonon content and the proton-neutron symmetry of low-lying states recently discovered in nuclei around shell closure. The results are in overall agreement with experiments and consistent with the interacting boson model.     

Microscopic description of collective motion in pf shell nuclei

Rotational and vibrational excitations in pf shell nuclei are studied by means of the generator coordinate method. The generator coordinates are the pairing energies and the quadrupole moments of constrained Hartree-Bogoliubov states, projected onto good angular momenta and particle numbers. The Kuo interaction and the one modified by McGrory are used. The vibrational character of the yrast energies appears to be produced by mixing prolate and oblate wave functions. Pairing correlations are essential for this mixing. In contrast to the yrast states the excitation energies of the higher states depend strongly on the interaction used. They show good agreement with experiment, particularly in the case of ⁴⁸Ti with the Kuo force. The calculated B(E2) values exhibit a rotational band structure in general, even if the energies look more vibrational. The force dependence of the excitation energies can qualitatively be understood by inspection of the intrinsic energy surface.     

Life time of soft multipole excitations

Decay of soft multipole excitations in halo nuclei is studied in comparison with the potential resonance state. Although the soft excitation has a sharp peak just above the particle threshold and carries extremely large transition strength, the decay rate looks much faster than that expected for a resonance state. Consequently, the half life is shown to be several orders of magnitude shorter than what one naively expects from the uncertainty principle. It is shown also that the soft excitations accumulate large transition strength as a non-resonant single-particle excitation, but not as particle-hole collective excitations like giant resonances.     

Spin dipole excitations in radiative pion capture on 1p shell nuclei

Shell-model calculations for spin-dipole transitions in the (π^?,γ) reaction on ^6,7Li, ⁹Be, ¹¹B, ¹³C and ¹⁴N are compared with experimental data. The gross structure of resonance is discussed in terms of configurational splitting and symmetry considerations. Quantum numbers of resonances, total and partial yields are considered. Selected (π^?, γn) and (gp^?, γnγ′) coincidence experiments are proposed. The role of quadrupole and quasielastic excitation is also briefly discussed.     

Comparison of neutron resonance spacings with microscopic theory for spherical nuclei

The nuclear level spacings determined from neutron resonance experiments for nuclei with 20 ≦ A ≦ 148 and 181 ≦ A ≦ 209 are compared with spacings calculated for spherical nuclei with a microscopic theory which includes the nuclear pairing interaction. Single particle levels of Seeger et al. and Nilsson et al. are used in the calculations. The gross features of the experimental data due to nuclear shells are reproduced with the microscopic theory. In addition, the absolute agreement between experiment and theory is reasonable (67 % of the 151 cases examined agree to within a factor of 2) in view of uncertainties in the experimental data, the theoretical single particle levels and the pairing strength. Values of the spin cutoff parameter σ²(E), calculated with a microscopic theory, are included also for several doubly even nuclei and discussed in terms of nuclear shells.     

Unitary version of the single-particle dispersive optical model and single-hole excitations in medium-heavy spherical nuclei

A unitary version of the single-particle dispersive optical model was proposed with the aim of applying it to describing high-energy single-hole excitations in medium-heavy mass nuclei. By considering the example of experimentally studied single-hole excitations in the ⁹⁰Zr and ²⁰⁸Pb parent nuclei, the contribution of the fragmentation effect to the real part of the optical-model potential was estimated quantitatively in the framework of this version. The results obtained in this way were used to predict the properties of such excitations in the ¹³²Sn parent nucleus.