The current status of efforts to derive the Interacting Boson Model (IBM) from the microscopic Shell Model is described. Although several boson mapping procedures presently exist, only the procedure of Otsuka, Arima and Iachello (OAI) is discussed in detail. The IBM bosons are assumed to be correlated pairs of identical nucleons of definite generalized seniority and angular momentum. The steps, which must be implemented in the OAI procedure in order for it to be considered a truly microscopic theory of the IBM, are then described. Using this procedure, we present results of typical calculations for the IBM-2 parameter Xv, as an illustration.
ASJC Scopus subject areas
- Nuclear and High Energy Physics