Empirical Renormalization of ShellModel Hamiltonians and Magnetic Dipole Moments of SdShell Nuclei.
Abstract
A refined technique for using energy level data to renormalize shell model Hamiltonians is described. The one and two body matrix elements of the Hamiltonian are treated as parameters and determined by an iterative least squares fit to experimental energy level data. To overcome the problems associated with the large number of correlated parameters involved, the least squares fit is reformulated in terms of orthogonal linear combinations of the one and two body matrix elements. Empirical Hamiltonians for full 0d 5/21s 1/20d 3/2 space shell model calculations are determined by the described technique using energy level data at either the lower or upper end of the sd shell. In addition wave functions generated from renormalized Hamiltonians are used to calculate magnetic dipole moments of some ground and excited states of sd shell nuclei.
 Publication:

Ph.D. Thesis
 Pub Date:
 1976
 Bibcode:
 1976PhDT........51C
 Keywords:

 Physics: Nuclear;
 Hamiltonian Functions;
 Magnetic Moments;
 Nuclei (Nuclear Physics);
 Energy Levels;
 Iteration;
 Least Squares Method;
 Matrices (Mathematics);
 Nuclear Binding Energy;
 Wave Functions;
 Nuclear and HighEnergy Physics