We perform no-core full configuration calculations for the Lithium isotopes, 6Li, 7Li, and 8Li with the realistic nucleon-nucleon interaction JISP16. We obtain a set of observables, such as spectra, radii, multipole moments, transition probabilities, etc., and compare with experiment where available. We obtain underbinding by 0.5 MeV, 0.7 MeV, and 1.0 MeV for 6 Li, 7 Li, 8 Li respectively. Magnetic moments are well-converged and agree with experiment to within 20%.
We then introduce the One-Body Density Matrix. We present a method to remove the spurious center-of-mass component from the space-fixed density distribution. We present space- fixed and translationally-invariant density distributions for various states of 6Li, 7Li, and 8Li. We also examine select translationally-invariant density distributions from the ground state and several excited states of 9Be. The resulting translationally-invariant densities can be used to examine convergence issues and better represent features of the nuclear shape. Convergence properties of these density distributions shed light on the convergence properties of experimental one-body observables.
We then present a method to calculate the space-fixed and translationally-invariant Wigner Function using our One-Body Density Matrices. We present a novel visualization of these Wigner Functions.
|Advisor:||Vary, James P.|
|Commitee:||Bergman, Cliff, Ho, Kai-Ming, Ogilvie, Craig, Tuchin, Kirill|
|School:||Iowa State University|
|Department:||Physics and Astronomy|
|School Location:||United States -- Iowa|
|Source:||DAI-B 74/02(E), Dissertation Abstracts International|
|Subjects:||Physics, Theoretical physics, Nuclear physics|
|Keywords:||Ab initio, Light nuclei, Lithium, Nuclear structures, One body density matrix|
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