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.

References in corpus (7)

• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Shell Model in the Complex Energy Plane
• Complex coupled-cluster approach to an ab-initio description of open quantum systems
• Microscopic theory of the two-proton radioactivity
• Ab initio Gamow in-medium similarity renormalization group with resonance and continuum
• Gamow shell-model calculations of drip-line oxygen isotopes
• Search for excited states in ${}^{25}$O

Cited by in corpus (1)

• Continuum and three-nucleon force in Borromean system: The 17Ne case