Residual Interactions in Nuclear Shell Model and Pairing Energies

Effective Interactions for the Nuclear Shell Model

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...

Symmetry energies, pairing energies, and mass equations

Symmetry and pairing energies of atomic nuclei are related to the differences between the excitation energies of isobaric analog states in the same nucleus. Numerous such excitation energies are known experimentally. In addition, a comprehensive global set can be deduced from the available experimental masses by applying Coulomb energy corrections. Replacing the experimental mass data by availa...

Test of shell-model interactions for nuclear structure calculations.

Recently no-core shell-model calculations have been performed @1,2#, in which all nucleons are active, so there are no hole states. This approach avoids the use of shell-model effective interactions involving excitations from an inert core of nucleons ~e.g., the core-polarization process!, and thereby avoids the convergence problems of the standard effectiveinteraction approach @3#. In this pap...

J-pairing Interactions of Fermions in a Single-j Shell

In this talk I shall introduce our recent works on general pairing interactions and pair truncation approximations for fermions in a single-j shell, including the spin zero dominance, features of eigenvalues of fermion systems in a single-j shell interacting by a J−pairing interaction.