Ab Initio Nuclear Structure Calculations for Light Nuclei

Abstract

<p>We perform no-core full configuration calculations for the Lithium isotopes, 6 Li, 7 Li, and 8 Li</p> <p>with the realistic nucleon-nucleon interaction JISP16. We obtain a set of observables, such as</p> <p>spectra, radii, multipole moments, transition probabilities, etc., and compare with experiment</p> <p>where available. We obtain underbinding by 0.5 MeV, 0.7 MeV, and 1.0 MeV for 6 Li, 7 Li, 8 Li</p> <p>respectively. Magnetic moments are well-converged and agree with experiment to within 20%.</p> <p>We then introduce the One-Body Density Matrix. We present a method to remove the</p> <p>spurious center-of-mass component from the space-fixed density distribution. We present space-</p> <p>fixed and translationally-invariant density distributions for various states of 6 Li, 7 Li, and 8 Li.</p> <p>We also examine select translationally-invariant density distributions from the ground state</p> <p>and several excited states of 9 Be. The resulting translationally-invariant densities can be used</p> <p>to examine convergence issues and better represent features of the nuclear shape. Convergence</p> <p>properties of these density distributions shed light on the convergence properties of experimental</p> <p>one-body observables.</p> <p>We then present a method to calculate the space-fixed and translationally-invariant Wigner</p> <p>Function using our One-Body Density Matrices. We present a novel visualization of these</p> <p>Wigner Functions.</p>