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Shadow Robinson

Publications and source records attributed to Shadow Robinson.

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On Single Particle Energies and Nuclear g Factors

If we add one neutron to doubly magic ^{100}Sn, we can associate the low lying states in^{101} Sn with single particle states.The the J=5/2^{+} and J= 7/2^{+} states are identified as d_{5/2}and g_{7/2}states respectively...They are separated by an energy of 0.18 MeV.Unfortunately there is a disputeas to the ordering of these states.We examine how the 2 scenarios-- J=5/2^{+} ground state or J=7/2^{+}ground state-- affect spectra of higher Sn isotopes .

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Counterintuitive Behaviors in Configuration Mixing

By starting with a simple configurations of 2 neutrons in a single j shell we hare able to learn the effects of high lying configurations on physical properties such as nuclear magnetic g factors. Some counterintuitive results are found when both high lying spin orbit partners are allowed to admix with the basic configuration.

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Consequences of omitting spin-orbit partner configurations on B(E2)'s and quadrupole moments in nuclei

Calculations of B(E2)'s and quadruplole moments in the g_{9/2 region below ^{100} Sn are hampered by the fact that the inclusion of the g_{7/2}configuration leads to model spaces that are too large to handle. We therefore examine lighter nuclei if the fp region where one can easily include all the orbitals, f,{}_{7/2}, p_{3/2}, p_{1/2}and f_{5/2} . We perform such calculations but then take a step back and exclude the f_{5/2} orbital. By comparing the 2 calculations we can hope to get insight into the importance of the missing spin-orbit partner in other regions.

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Magnetic g Factors With a Surface Delta Interaction

We examine the consequences of using a surface delta interaction to obtain the nuclear magnetic dipole g factors for 86Kr in a 2 proton hole model space. We find that the g factors of lowest the 2+ and 4+ states are equal to one, or more properly gl. The inclusion of a spin-orbit interaction is also discussed. Comparisons are made with large space calculations.

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Isobaric analog states in the f_{7/2} and g_{9/2} shells

Calculations are performed for energies of isobaric analog states with isospins T=2 and T=3 in regions where they have been found experimentally e.g. f-p shell, and regions where they have not yet been found e.g. g_{9/2} near Z=50,N=50. We consider two approaches--one using binding energy formulas and Coulomb energies contained therein and the other using shell model calculations. It is noted that some (but not all) calculations yield very low excitation energies for the J=0^{+} T=2 isobaric analog state in ^{96} Ag.

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Isobaric Analog State in ^{96} Ag

Preiviously, in a single j-shell calculation (j=g_{9/2}), we obtained the excitation energy of the T=2 J=0+ isobaric analog state in ^{96} Ag to be a bit below 1 MeV relative to the J=8+ T=1 ground state . We here use binding energy data and Coulomb energy estimates to obtain this same excitation energy and to see if the 2 approaches are consistent.

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A Linear Approximation for the Excitation Energies of single and double analog states in the f_{7/2} shell

We find that the excitation energies of single analog states for odd-even nuclei in the f$_{7/2}$ shell with J=j=7/2$^{-}$ and the J=0$^{+}$ double analog states in the even-even nuclei are well described by the formulas $E^{*}(j,T+1) = b (T+X)$ and $E^{*}(0^{+},T+2) = 2b (T+X+0.5)$,respectively, where $T=\mid N-Z\mid /2$ is usually the ground state isospin. It is remarkable to note that the parameter X accounts for the departures from the symmetry energy based predictions.

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