Two-body contributions to the effective mass in nuclear effective interactions

Two-body contributions to the effective mass in nuclear effective interactions

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Minimizing Effective Many-Body Interactions

A simple two-level model is developed and used to test the properties of effective interactions for performing nuclear structure calculations in truncated model spaces. It is shown that the effective manybody interactions sensitively depend on the choice of the single-particle basis and they appear to be minimized when a self-consistent HartreeFock basis is used.

Effective interactions for the nuclear shell model

Various perturbative and non-perturbative many-body techniques are discussed in this work. Especially, we will focus on the summation of so-called Parquet diagrams with emphasis on applications to finite nuclei. Here, the subset of two-body Parquet equations will be discussed. A practical implementation of the corresponding equations for studies of effective interactions for finite nuclei is ou...

Effective Interactions for the Nuclear Shell Model

Effective Interactions for the Three-Body Problem

The three-body energy-dependent effective interaction given by the Bloch-Horowitz (BH) equation is evaluated for various shell-model oscillator spaces. The results are applied to the test case of the three-body problem (H and He), where it is shown that the interaction reproduces the exact binding energy, regardless of the parameterization (number of oscillator quanta or value of the oscillator...