Results of charge form factors calculations for several unstable neutron-rich isotopes of light, medium, and heavy nuclei (He, Li, Ni, Kr, Sn) are presented and compared to those of stable isotopes in the same isotopic chain. For the lighter isotopes (He and Li) the proton and neutron densities are obtained within a microscopic large-scale shell-model, while for heavier ones Ni, Kr, and Sn the densities are calculated in deformed self-consistent mean-field Skyrme HF+BCS method. We also compare proton densities to matter densities together with their rms radii and diffuseness parameter values. Whenever possible comparison of form factors, densities and rms radii with available experimental data is also performed. Calculations of form factors are carried out both in plane wave Born approximation (PWBA) and in distorted wave Born approximation (DWBA). These form factors are suggested as predictions for the future experiments on the electron-radioactive beam colliders where the effect of the neutron halo or skin on the proton distributions in exotic nuclei is planned to be studied and thereby the various theoretical models of exotic nuclei will be tested.

The relativistic light-front dynamics (LFD) method has been shown to give a correct description of the most recent data for the deuteron monopole and quadrupole charge form factors obtained at the Jefferson Laboratory for elastic electron-deuteron scattering for six values of the squared momentum transfer between 0.66 and 1.7 (GeV/c) 2 . The good agreement with the data is in contrast with the results of the existing non-relativistic approaches.In this work we firstly make a complementary test of the LFD applying it to calculate another important characteristic, the nucleon momentum distribution n(q) of the deuteron using six invariant functions fi (i = 1, ..., 6) instead of two (S-and D-waves) in the nonrelativistic case. The comparison with the y-scaling data shows the decisive role of the function f5 which at q ≥ 500 MeV/c exceeds all other f -functions (as well as the S-and D-waves) for the correct description of n(q) of the deuteron in the high-momentum region. Comparison with other calculations using S-and D-waves corresponding to various nucleon-nucleon potentials is made. Secondly, using clear indications that the high-momentum components of n(q) in heavier nuclei are related to those in the deuteron, we develop an approach within the natural orbital representation to calculate n(q) in (A, Z)-nuclei on the basis of the deuteron momentum distribution. As examples, n(q) in 4 He, 12 C and 56 Fe are calculated and good agreement with the y-scaling data is obtained.

Overlap functions and spectroscopic factors extracted from a model one-body density matrix (OBDM) accounting for short-range nucleon - nucleon correlations are used to calculate differential cross sections of (p, d) reactions and the momentum distributions of transitions to single-particle states in and . A comparison between the experimental (p, d) and data, their DWBA and CDWIA analyses and the OBDM calculations is made. Our theoretical predictions for the spectroscopic factors are compared with the empirically extracted ones. It is shown that the overlap functions obtained within the Jastrow correlation method are applicable to the description of the quantities considered.

We study nucleon momentum distributions of even-even isotopes of Ni, Kr, and Sn in the framework of deformed self-consistent mean-field Skyrme HF+BCS method, as well as of theoretical correlation methods based on light-front dynamics and local density approximation. The isotopic sensitivities of the calculated neutron and proton momentum distributions are investigated together with the effects of pairing and nucleon-nucleon correlations. The role of deformation on the momentum distributions in even-even Kr isotopes is discussed. For comparison, the results for the momentum distribution in nuclear matter are also presented.

An analysis is made of the various mechanisms contributing to the (n, d) reaction on the , and nuclei at incident energies up to 15 MeV. It is shown that the main contribution is given by the pick-up process. The statistical contributions are small, especially for . A model of the (n, d) knock-out reaction, in which restrictions on the available phase space for the proton and the neutron in the deuteron after the knock-out are imposed by a Pauli-blocking function, is suggested and applied. The model is close to that for quasi-deuteron photo-absorption and the knock-out model previously developed. It is shown that the knock-out contribution calculated within this model is generally small, but it leads to some improvement of the description of the existing data for the (n, d) reaction on the three nuclei considered in the low-energy interval.