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The properties of even-even Ca isotopes are studied using the relativistic continuum Hartree-Bogoliubov theory. The calculations reproduce very well the experimental binding energies E and two neutron separation energies S-2n. The predicted neutron drip nuclei is Ca-72. From the analysis of S-2n, the neutron radii and neutron density distribution, giant neutron haloes are predicted in Ca isotopes with A > 60.

The large odd-even difference in moments of inertia between the SD bands 195Tl(1,2) and 196Pb(1) is investigated by the particle-number conserving method, in which the blocking effect on pairing is taken into account strictly. The ω variation of J(2) for the three SD bands are reproduced quite well and the underlying microscopic mechanism is demonstrated clearly. Calculations show that the blocking of the proton [642]5/2 intruder orbital and the excitation of [651]1/2 intruder orbital play crucial roles for the odd-even difference in J(2)'s.

The important fact that the second kind of moment of inertia J(2) is larger than the first kind of moment of inertia J(1) can be derived naturally from the 2-parameter expression for the rotational spectra, E(I)=a(√1+bI(I+1)-1), in its derivation the nuclear triaxiality has been taken into account.

The even-odd difference in the spin-alignment is investigated. The results show that the blocking effect, which is very hard to treat in the usual CSM, is very important.

The blocking effect on the nuclear pairing correlation in combination with some small change of the single-particle level scheme near the Fermi surface may lead to a large Coriolis attenuation.

Some serious difficulties encountered in the usual Cranking Shell Model may be overcome in the Particle-Number-Conserving treatment for the cranking Hamiltonian. The variation of the K-structure of low-lying bands with the rotational frequency is investigated.