A Microscopic Theory of Rotational Motion in Deformed Odd-Mass Nucleus: An Additional Term to the Cranking Moment of Inertia

Nuclear rotational motion has been regarded as one of the most mportant problems in the theory of nuclear collective excitations. One of the reasons is that a consistent description of the rotation is of fundamental significance in quantum theory of many-body system. In addition to the above-mentioned reason, we can find the importance in the recent experimental studies of medium and heavy nuclei. Through the experimental information, we have already known that there exist many nuclei which show, more or less, the rotation-like excitations. Therefore, it is an important task to develop a powerful theory for analysing the structure of such nuclei. A conventional description of the rotation is to take into account the change of the self-consistent Hartree-Bogoliubov field induced by an external field iuJx. By applying this idea to the case of even-mass nucleus, we can obtain a set of inhomogeneous linear equations, the homogeneous parts of which are very similar to the equations for conditions of the stability of the Hartree-Bogoliubov field.n The interaction parts contained in these equations generally give rise to additional term to the standard cranking moment of inertia. However, in the case of the quadrupole force, such a term does not appear. Therefore, for the sake of investigating the deviation from the simple cranking formula, the pairing type or T-odd particle-hole type interaction*) has been inevitably introduced. The additional