Partial Dynamical Symmetry in the f7/2 and g9/2 shell

We discuss partial dynamical symmetries which occur in single j shell calculations mostly for high spin states for systems of three or four particles (holes). The relevant nuclei are 43Ti,43Sc, 44Ti, 52Fe,53Fe, 53Co,96Cd,97Cd, and 97In

On Units for B(E2)'s

We discuss different conventions used for defining B(E2)'s

The Middle of the Spectrum

There has been a great deal of attention to the low lying energy spectum in a nucleus becuse of the abundance of experimetal data. Likewise ,perhaps to a lesser extent but still significant the high end for a given configuratiion has been examined. Here ,using single j shell calculations as a guide we examine the middle part of the spectum resulting form single j shell calculations.Seniority arguments are used to partially explain the midshell behaviours even though in general seniority is not a good quantum number for mixed systems of neutrons and protons

The First J=1+ T=0 States in a Single j Shell Configuration for Even-Even Nuclei

The first even-even nucleus for which there are J=1+ T=0 states in a single j shell configuration is 48Cr. In this limited model space all T=0 to T=0 M1 matrix elements vanish

Odd J states of isospin zero and one for 4 nucleon systems: near degeneracies

In this work we calculate the energies odd J$^{+}$ states in selectedeven-even nuclei-$^{44}$ Ti $^{52}$ Fe and $^{96}$Cd. Of particularinterest is the fact that in many cases the first T=0 and the first T=1 state are close in energy. Whether the lowest odd J state hasT=0 or T=1 is here considered

Surface Delta Interaction and g factors

Using an attractive surface delta interaction we obtain wave functions for 2 neutrons (or neutron holes) in the model space of 2 orbits (l=4, j=7/2) and (l=2, j=5/2). If we take the single particle energies to be degenerate we find that the g factors for I=2, 4 and 6 are all the same -namely the orbital g factor of the single nucleon. For a free neutron this quantity zero all 2particle or 2 hole g factors are equal to zero as well.. Only the orbital part of the g -factors contribute - the spin part cancels out. We then consider the effects of introducing a single energy splititng between the 2 orbits. We speculate that g factors for all n can be obtained by a linear approximation

Interesting,Surprising and Perhaps Amusing Results in Nuclear Physics Calculations Over the the Years

We have compiled some sections of works by L. Zamick and collaborators which we hope will be of interest to the reader

The scissors mode from a different perspective

The scissors mode, a magnetic dipole excitation-mainly orbital is usually discussed in terms of a transition from a J=0^{+} ground state to a J=1^{+} excited state. This is understandable because it follows from the way the experiment is performed-e.g. inelastic electron scattering. Here however, we start with the excited 1^{+} state and consider all possible transitions to J=0,1 and 2 states

Topics in Nuclear Structure

We consider work performed over the last decade on single-j-shell studies. We will discuss four topics.Comment: 6 pages, two columns. Celebration of Prof. Raduta's 70th anniversar

Degeneracies with the Q.Q interaction in a single j shell

Previously [1] it was shown that for a configuration of 2 protons and 2 neutrons in the g_{9/2}shell there is a certain degeneracy that occurs when the quadrupole-quadrupole interaction (Q.Q) is used to to obtain the wave functions.. We here show 3 other examples of such degenerate pairs, all, as before, involving T=0 and T=2 states. . More important we discuss an unusual peculiarity of the original example. Also we point out that degeneracies can be confusing and steps can be taken to remove them