Selected topics in the structure of nuclei far from β-stability lines

I select the following two topics, (a) and (b), chosen from the interesting dynamics of nuclei far from β-stability lines, in comparison with β stable nuclei. (a) Quadrupole polarization charge coming from the coupling to isoscalar shape oscillations is known to be appreciable and positive in β stable nuclei. In contrast, the isoscalar strength just above the low-energy threshold, which is created by exciting particles to the continuum in nuclei far from β-stability lines, can be reduced by the attractive coupling to isoscalar shape oscillations. (b) The ratio of neutron/proton component in collective modes in N≠Z nuclei can be reliably estimated only when the consistency condition between one-particle excitation spectra and vibrational fields is properly taken into account. It is exhibited that the isovector giant quadrupole resonance carries little isoscalar quadrupole strength, while the isoscalar giant quadrupole resonance contains the isovector strength with B(IV)/B(IS) approx. = ((N-Z)/A)2. (author)