Collective vibrations and the nature of the intrinsic field

• Autores: Hernández, E. S.; Plastino, Ángel Ricardo
• Año de publicación: 1974
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: Física; Residual matrix elements; Intrinsic Field
• Institución: Universidad Nacional de La Plata

During the last years a considerable progress has been made concerning the description of nuclear properties by recourse to self-consistent methods. Of these, the HartreeFock-Bogolubov approach promises to be specially apt to describe many details of the nuclear structure (1). One can envisage that the quasi-particle random-phase approximation (QRPA), if used in conjuction with a self-consistent quasi-particle (q.p.) basis), will provide us with an extremely potent tool to deal with the microscopic aspects of collective vibrational states. Now, this kind of states manifest themselves in their most patent form in the so-called deformed heavy nuclei, i.e. transuranic and rareearth ones. Of course, due to the high single-particle (s.p.) level density found in this regions of the periodic table, one easily realizes that even the first stage of the description referred to above, i.e. the HFB one, consitutes a very serious numerical problem. However, some intents have already been made in this direction (see, for example, ref. (2)) and, with the rapid progress that the development of processing data systems is showing, it canot be doubted that steps towards the already mentioned goal will be undertaken in the near future.It must be borne in mind, however, that evaluating the matrix elements of the residual interactions between q.p. will surely prove to be a tremendous task, since one needs millions of them. The purpose of the present letter is to point out that this later job, i.e. the computation of the residual matrix elements (r.m.e.), may be unnecessary. We intend to show here that the information to be gained from the knowledge of this r.m.e. is not needed in order to describe the most important details concerning the microscopic structure of vibrational states in deformed heavy nuclei.
Facultad de Ciencias Exactas