# The contribution of chiral three-body forces to the monopole component of the effective shell-model Hamiltonian

## TL;DR

This paper investigates how realistic three-body forces derived from chiral perturbation theory influence the monopole component of the shell-model Hamiltonian, crucial for accurately describing shell evolution in nuclei.

## Contribution

It demonstrates that including three-body forces is essential for reproducing experimental shell evolution in fp-shell nuclei, advancing shell-model Hamiltonian accuracy.

## Key findings

- Three-body forces significantly improve shell evolution predictions.
- Including three-body forces reproduces experimental shell closures.
- Shell-model calculations with three-body forces match observed data.

## Abstract

We present a study of the role played by realistic three-body forces in providing a reliable monopole component of the effective shell-model Hamiltonian. To this end, starting from a nuclear potential built up within the chiral perturbation theory, we derive effective shell-model Hamiltonians with and without the contribution of the three-body potential and compare the results of shell-model calculations with a set of observables that evidence shell-evolution properties. The testing ground of our investigation are nuclei belonging to fp shell, since the shell evolution towards shell closures in 48Ca and 56Ni provides a paradigm for shell-model Hamiltonians. Our analysis shows that only by including contributions of the three-body force the monopole component of the effective shell-model Hamiltonian is then able to reproduce the experimental shell evolution towards and beyond the closure at N=28.