Chiral three-nucleon force and continuum for dripline nuclei and beyond

Abstract

Three-nucleon force and continuum play important roles in reproducing the properties of atomic nuclei around driplines. Therefore it is valuable to build up a theoretical framework where both effects can be taken into account to solve the nuclear Schrödinger equation. To this end, in this letter, we have expressed the chiral three-nucleon force within the continuum Berggren representation, so that bound, resonant and continuum states can be treated on an equal footing in the complex-momentum space. To reduce the model dimension and computational cost, the three-nucleon force is truncated at the normal-ordered two-body level and limited in the $sd$-shell model space, with the residual three-body term being neglected. We choose neutron-rich oxygen isotopes as the test ground because they have been well studied experimentally, with the neutron dripline determined. The calculations have been carried out within the Gamow shell model. The quality of our results in reproducing the properties of oxygen isotopes around the neutron dripline shows the relevance of the interplay between three-nucleon force and the coupling to continuum states. We also analyze the role played by the chiral three-nucleon force, by dissecting the contributions of the $2\pi$ exchange, $1\pi$ exchange and contact terms.

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Cited by in corpus (12)

• Two-proton emission and related phenomena
• Perturbative Approach to Effective Shell-Model Hamiltonians and Operators
• The roles of three-nucleon force and continuum coupling in mirror symmetry breaking of oxygen mass region
• Unbound spectra of neutron-rich oxygen isotopes predicted by the Gamow shell model
• A shell-model study of calcium isotopes towards their drip line
• Continuum and three-nucleon force in Borromean system: The 17Ne case
• Deformed in-medium similarity renormalization group
• Recent progress in configuration-interaction shell model
• Ab initio descriptions of $A=16$ mirror nuclei with resonance and continuum coupling
• Uncovering the mechanism of chiral three-nucleon force in driving spin-orbit splitting
• Complex-energy eigenvector continuation for nuclear many-body broad resonances
• Large scale shell model calculation for collectivity in nuclei beyond 78Ni