Microscopic description of odd- and even-mass Er isotopes

Jorge G. Hirsch, Universidad Nacional Autónoma de México
Gabriela Popa, Rochester Institute of Technology
Carlos E. Vargas, GANIL Grand Accelerateur National d'Ions Lourds
Jerry P. Draayer, Louisiana State University


The pseudo-SU(3) shell model is used to describe rotational bands and B(E2) electromagnetic transition strengths in the even- and odd-mass rare earth isotopes 164,165,166,167,168Er. The building blocks of the model are the pseudo-SU(3) proton and neutron states with pseudo-spin zero and 1/2, which describe even and odd numbers of nucleons, respectively. The many-particle states are built as linear combinations of pseudo-SU(3) coupled states with well-defined particle number and total angular momentum. The Hamiltonian includes spherical Nilsson single-particle energies, quadrupole-quadrupole and pairing interactions, as well as rotor terms that are diagonal in the SU(3) basis. The use of realistic single-particle energies has a fundamental importance in the appropriate description of odd-mass nuclei.