Shell-model calculations in 132Sn and 208Pb regions with low-momentum interactions

TL;DR

This paper presents shell-model calculations using low-momentum interactions derived from nucleon-nucleon potentials, successfully reproducing nuclear spectra around 132Sn and 208Pb without adjustable parameters.

Contribution

It introduces a method to derive effective interactions from free-space potentials and applies it to nuclei near doubly magic shells, demonstrating natural spectral similarities.

Findings

Spectra of nuclei around 132Sn and 208Pb are well reproduced.

Effective interactions derived without adjustable parameters.

Spectral similarities between the two regions are naturally explained.

Abstract

We discuss shell-model calculations based on the use of low-momentum interactions derived from the free-space nucleon-nucleon potential. A main feature of this approach is the construction of a smooth potential, V-low-k, defined within a given momentum cutoff. As a practical application of the theoretical framework, we present some selected results of our current study of nuclei around doubly magic 132Sn and 208Pb which have been obtained starting from the CD-Bonn potential. Focusing attention on the similarity between the spectroscopy of these two regions, we show that it emerges quite naturally from our effective interactions without use of any adjustable parameter.