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 2π exchange, 1π exchange and contact terms.
| Original language | English |
|---|---|
| Article number | 135257 |
| Journal | Physics Letters B |
| Volume | 802 |
| DOIs | |
| State | Published - Mar 10 2020 |
| Externally published | Yes |
Funding
Valuable discussions with Nicolas Michel, Simin Wang and Zhonghao Sun are gratefully acknowledged. This work has been supported by the National Key R&D Program of China under Grant No. 2018YFA0404401 , the National Natural Science Foundation of China under Grants No. 11835001 , No. 11921006 , No. 11575007 , and No. 11847203 ; and the CUSTIPEN (China-US Theory Institute for Physics with Exotic Nuclei) funded by the US Department of Energy, Office of science under Grant No. DE-SC0009971 . We acknowledge the High-performance Computing Platform of Peking University for providing computational resources. Valuable discussions with Nicolas Michel, Simin Wang and Zhonghao Sun are gratefully acknowledged. This work has been supported by the National Key R&D Program of China under Grant No. 2018YFA0404401, the National Natural Science Foundation of China under Grants No. 11835001, No. 11921006, No. 11575007, and No. 11847203; and the CUSTIPEN (China-US Theory Institute for Physics with Exotic Nuclei) funded by the US Department of Energy, Office of science under Grant No. DE-SC0009971. We acknowledge the High-performance Computing Platform of Peking University for providing computational resources.
| Funders | Funder number |
|---|---|
| China-US Theory Institute for Physics | |
| National Key R&D Program of China | |
| US Department of Energy | |
| U.S. Department of Energy | |
| Office of Science | DE-SC0009971 |
| National Natural Science Foundation of China | 11835001, 11921006, 11847203, 11575007 |
| National Key Research and Development Program of China | 2018YFA0404401 |
Keywords
- Binding energy
- Continuum
- Gamow shell model
- Spectra
- Three-nucleon forces
- Unstable nuclei