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

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.

7 pages, 3 figures

References in corpus (8)

• Shell-model calculations and realistic effective interactions
• Convergence in the no-core shell model with low-momentum two-nucleon interactions
• Family of Hermitian Low-Momentum Nucleon Interactions with Phase Shift Equivalence
• Shell-model Structure of Exotic 135Sb
• Proton-neutron multiplets in exotic 134Sb: testing the shell-model effective interaction
• Long standing problem of 210Bi and the realistic neutron-proton effective interaction
• Low-momentum interactions in three- and four-nucleon scattering
• Shell-model structure of exotic nuclei beyond 132Sn

Cited by in corpus (3)

• Systematic shell model study for $N=82$ and $N=126$ isotones and nuclear isomers
• Shell-model interpretation of high-spin states in 134-I
• High-spin spectroscopy and shell-model interpretation of the N < 126 radium isotopes ${}^{212}$Ra and ${}^{213}$Ra