Abstract
We have applied the shell model and extended shell model (or quasiparticle model) to the calculation of spectra, transition probabilities of the calcium isotopes and the hyperfragment [A]He[7]. In Chapter 1 we review the forces used and also the basis for the shell model through the usual Hartree-Fock theory incorporating the Brueckner G matrix. The calculations in Chapter 2 were used as a basis for comparison with later chapters. Here we used the shell model in its simplest form for Ca[42]. The various forces used presents similar results, except for the Tabakin[(28)] force. The peculiar behaviour is discussed. Following this, we apply the extended shell model in Chapter 3 and 4 to the calcium isotopes. The gain is slight. The E2 rates were enhanced, sometimes overenhanced. The difficulty of involving both neutrons and protons is not overcomed. In the final chapter, the hyperfragment [A]He[7] is examined as to theoretical evidence for the existence of an isomeric state. Our calculation favours this. A cluster model approach is also suggested for further study of this system.