Few-nucleon systems in a translationally invariant harmonic oscillator basis

作者：P. Navrátil, Gintautas Kamuntavičius, BRUCE R. BARRETT · 发表于：Physical Review C · 年份：2000 · DOI：10.1103/physrevc.61.044001 · 被引用次数：232 · 研究领域：Nuclear physics research studies、Atomic and Molecular Physics、Advanced Chemical Physics Studies

We present a translationally invariant formulation of the no-core shell model approach for few-nucleon systems. We discuss a general method of antisymmetrization of the harmonic-oscillator (HO) basis depending on Jacobi coordinates. The use of a translationally invariant basis allows us to employ larger model spaces than in traditional shell-model calculations. Moreover, in addition to two-body effective interactions, three- or higher-body effective interactions as well as real three-body interactions can be utilized. In the present study we apply the formalism to solve three and four nucleon systems interacting by the CD-Bonn nucleon-nucleon (NN) potential in model spaces that include up to $34\ensuremath{\Elzxh}\ensuremath{\Omega}$ and $16\ensuremath{\Elzxh}\ensuremath{\Omega}$ HO excitations, respectively. Results of ground-state as well as excited-state energies, rms radii, and magnetic moments are discussed. In addition, we compare charge form factor results obtained using the CD-Bonn and Argonne ${\mathrm{V}8}^{\ensuremath{'}}$ NN potentials.