The differential cross section for the reactionD(d, t)H has been calculated in the distorted wave Born approximation including finite range effects. All 6 interactions between the 4 nucleons are explicitly evaluated. It has been found that the interactions neglected by earlier work are significant. Distortions are necessary to reproduce the minimum at 37.5° observed at an incident energy of 25.3 MeV in the cross section. The absolute cross section at 14.3° is predicted by theory to be 23.5 mb/sr as against the experimental 16.4 mb/sr. Better agreement with experiment at backward angles may be obtained with the use of an expanded deuteron and the inclusion ofd-state effects.

To explore the Coriolis attenuation problem we have carried out a schematici_13/2 rotor plus single quasi-particle band-mixing calculation. The results reveal that the calculations are largely insensitive towards the location of the Fermi energy near the low-K single particle states only, and therefore are incapable of taking into account the transition from ‘full’ decoupling to ‘partial’ decoupling as the Fermi level is increased. We trace the possible reasons for this insensitivity and find that this may be primarily due to thebcs approximation for calculating the quasiparticle energies.

A systematic analysis of the results of single quasiparticle-plus-rotor bandmixing calculations is presented wherein the empirically noticed characteristic effective decoupling patterns and their systematics in certain odd-A odd-Z rotational bands based onh9/2, d1/2, h_11/2 andg_7/2 orbitals are reproduced. The strategy adopted allows us to obtain an almost unique set of parameter values for a given decoupling pattern. The composition of wavefunctions in terms of core rotational angular momentum supports the idea of effective decoupling. These wavefunctions are then used to analyse the extent and nature of Coriolis coupling in these bands. It is found that either one or both parts of the Coriolis energies, diagonal and non-diagonal, are significant in most of the cases and the non-diagonal part is mainly responsible for the effective decoupling. These Coriolis effects prominently affect the intrabandB(M1) andB(E2) values and their variation with spin is discussed. An unusual feature in theB(M1) value of theh9/2 orbital based band is pointed out.

Bandcrossing in 31 rotational bands of 25 different odd-A nuclei in the rare-earth region has been analysed by using a two-band mixing formalism with a constant band interaction within the framework of the effective decoupling picture. The interband interaction strengthV between the one-quasiparticle band and the three-quasiparticle band exhibits a variation with the neutron number which is not different from the oscillatory behaviour observed in even-even nuclei and does not show signs of any appreciable phase shifting as predicted by theory. However, the overall range of variation ofV is greater than that observed in even-even systems.

A data set of 29 experimentally determined Newby shifts in rare-earth nuclei is examined for the reliability of each values. Using this data set, Newby shifts are obtained which are free from the Coriolis and the particle-particle coupling effects. These new empirical values help resolve the failure of a recently proposed rule for the sign of the Newby shift in the {5/2[413]p − 5/2[642]n} configuration of¹⁶⁰Tb and the {5/2[402]p − 5/2[512]n} configuration of¹⁷⁴Lu. Also the Newby shifts are significantly modified in two other cases namely the {1/2[411]p − 1/2[521]n} configuration in¹⁶⁸Tm and the {1/2[541]p − 1/2[521]n} configuration in¹⁷²Lu. Only marginal changes are seen in the rest of the cases in the rare-earth nuclei.

The effect of change in deuteron size on its elastic scattering from protons and alphas is investigated by varying the Hulthen parameters of the deuteron wave function in the scattering process. The cross sections forp-d scattering, calculated in the Born approximation, are found to increase substantially at backward angles even when the deuteron size is reduced by a small amount, whereas the shape of the angular distribution does not change significantly. For theα-d elastic scattering, interaction potential is obtained by folding the deuteron wave function and the optical potential for nucleon-scattering. The cross sections calculated atE_d = 13·7 MeV, shows that the first minimum around Θ_cm = 60° is deepend as the deuteron size is reduced, while at 52 MeV bombarding energy, the size effects are not very distinct. These observations are useful in the interpretation of deuteron cluster knockout reactions.