1. Core polarization and modern realistic shell-model Hamiltonians.
- Author
-
Coraggio, L., Covello, A., Gargano, A., and Itaco, N.
- Subjects
POLARIZATION (Nuclear physics) ,HAMILTONIAN systems ,ASTRONOMICAL perturbation ,MANY-body problem ,CHIRALITY of nuclear particles - Abstract
The understanding of the convergence properties of the shell-model effective Hamiltonian, within the framework of the many-body perturbation theory, is a long-standing problem. The infinite summation of a certain class of diagrams, the so-called 'bubble diagrams,' may be provided calculating the Kirson-Babu-Brown induced interaction, and provides a valid instrument to study whether or not the finite summation of the perturbative series is well-grounded. Here, we perform an application of the calculation of the Kirson-Babu-Brown induced interaction to derive the shell-model effective Hamiltonian for -shell nuclei starting from a modern nucleon-nucleon potential, obtained by way of the chiral perturbation theory. The outcome of our calculation is compared with a standard calculation of the shell-model Hamiltonian, where the core-polarization effects are calculated only up to third-order in perturbation theory. The results of the two calculations are very close to each other, evidencing that the perturbative approach to the derivation of the shell-model Hamiltonian is still a valid tool for nuclear structure studies. [ABSTRACT FROM AUTHOR]
- Published
- 2017
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