Projected wave function from the Nilsson model in ^{19}F
Abstract
The projected wave functions from the Nilsson model are compared with the wave functions obtained by diagonalization of the shellmodel Hamiltonian in ^{19}F. The states ( {1}/{2}) _{1},( {3}/{2}) _{1},( {5}/{2}) _{1},( {7}/{2}) _{1},( {9}/{2}) _{1},( {11}/{2}) _{1} and ( {13}/{2}) _{1} belonging to the ground rotational band are found to be projected with very good approximation from one intrinsic state with positive deformation. The intrinsic states with certain negative deformation have effects on some states in this ground state band. The second ( {5}/{2}) _{2}, ( {7}/{2}) _{2}and ( {9}/{2}) _{2} states can also be projected from the intrinsic state with negative deformation. The second ( {1}/{2}) _{2} state can further be projected from another intrinsic state with negative deformation. Overlaps are calculated between the wave functions thus obtained and those given by the shell model. Reasonable values of overlap are found. It is highly desired to observe whether these states have negative deformation.
 Publication:

Nuclear Physics A
 Pub Date:
 May 1968
 DOI:
 10.1016/03759474(68)900729
 Bibcode:
 1968NuPhA.112..481H