Nuclear Deformations in the Pairing-Plus-Quadrupole Model. Ii. Justification of the Model

摘要

The paper attempts to choose the parameters of the pairing-plus-quadrupole model to make it as realistic as possible. A correction is introduced to take into account the different numbers of neutrons and protons. An expression is given for the deformation energy of a nucleus with an arbitrary two-body interaction. Then the pairing-plus-quadrupole matrix elements are compared with those of more realistic interactions and it is decided to keep only matrix elements between states of two adjacent oscillator shells. An argument is given to determine a priori the strength of the quadrupole force and various corrections to this are discussed. No similar argument is found for the pairing force. Residual effects of the remaining oscillator shells are included in an approximate fashion. Comparison is made with previous work along these lines. (Author)