Rutgers University Department of Physics and Astronomy
Theoretical nuclear physics
Here are examples of my recent and current interests in nuclear structure theory.
e.g. To explain the near vanishing of the A=14 beta decay, one requires a Dirac rather than a Schroedinger approach when higher shell model configurations are admixed.
The fact that the tensor interaction in a valence space appears weaker than in free space can be explained by higher shell admixtures.
For the electric dipole spin-dipole neutrino capture the summed strength is independent of the deformation of the target.
It is noted that certain column vectors representing wave functions of even-even nuclei and their even-odd neighbors are either identical or very similar. This leads to a two to one ratio in the excitation energies and leads us to a "linear hypothesis".
We obtain Elliot's SU(3) energy formula using a simple r-space Q.Q interaction, provided we include the particle-core exchange interactions. We also study the inclusion of the isospin dependent Q.Q interactions, and find that they lead to very strange results unless the spin-orbit interaction is also included.
In Hartree Fock calculations we find, not only clusters, but what we call clusters of clusters, e.g. the near degeneracy in energy of n-particle n-hole states in 40Ca with n=3,4,5,6,7 and 8. The deformation is calculated to be linear in n.
Magnetic Moments of Excited States in the f-p shell. e. g. We discuss the problem of the Z dependence of the g(2+) factors of N=28 isotones, which in simple perturbation theory should lie on a straight line.
Revised September 28, 1995