Additional de-excitation of the nucleus over the electronic shell is considered, the excited states of the electronic shell being intermediate in such de-excitation.

Collective motion in the nucleus is defined as change of the density distribution of nuclear matter in time. On the basis of this definition the Hamiltonian of nuclear rotation is obtained with moments of inertia corresponding satisfactorily to experimental data. The theory is easily applied t o nuclei with non-axial equilibrium shape. For the latter the parameters of non-axiality are considerably smaller than in the DAVYDOV-FILIPPOV model.

The separation of variables in the total nuclear Hamiltonian neglecting the rotation of the nucleus as a whole (but not the "core rotation") is carried out. By frame transformation the operator of the interaction between rotational and, intrinsic motions is derived for axial and non-axial nuclei. By using this operator the rotational spectra of deformed nuclei are examined.

No abstract

A theoretical study of the higher approximation effects in the processes of one-conversion de-excitakion of the excited nuclear state has been carried out in the present paper for the system : nucleus plus electronic shell. The processes of de-excitation over intermediate electron-nucleus states (the so-called "electron-nucleus bridge", being referred to as ENB in what follows) are considered in detail. The optimal conditions for ENB effect manifestation are discussed, numerical estimate6 being carried out in some cases. One-conversion nuclear de-excitation associated with MO-transition, strictly forbidden in the usual approximation, is a striking example of ENB. Such de-excitation probability proves t o be rather large (for example, it equals 2 . lo4 sec-l for 2 = 50 and for the transition energy 1 MeV, when the single-particle model is used).