Isotopic chains around oxygen from evolved chiral two- and three-nucleon interactions

Area of Science:

• Nuclear Physics
• Quantum Many-Body Theory

Background:

• Traditional nuclear models often simplify interactions, limiting accuracy for complex systems.
• Accurate predictions of nuclear properties are crucial for understanding stellar evolution and nuclear reactions.

Purpose of the Study:

• To extend self-consistent Green's function theory to include three-body interactions.
• To apply this enhanced formalism to isotopic chains around oxygen.
• To investigate the impact of three-nucleon forces on nuclear binding energies and driplines.

Main Methods:

• Developed a formalism based on the third-order algebraic diagrammatic construction for two-body Hamiltonians.
• Incorporated system-dependent one- and two-body interactions derived from three-body forces.
• Applied the method to study chiral two- and three-nucleon forces at low momentum cutoffs.

Main Results:

• Accurately reproduced binding energies for nitrogen, oxygen, and fluorine isotopes.
• Demonstrated the predictive power of the formalism, especially for neutron-rich isotopes.
• Successfully reproduced experimental driplines for oxygen and nitrogen isotopes.
• Enabled calculation of form factors for nucleon transfer on doubly magic systems.

Conclusions:

• The inclusion of three-body interactions significantly improves the accuracy of nuclear binding energy predictions.
• The developed formalism provides a robust framework for studying nuclear structure and reactions.
• This approach offers valuable insights into the behavior of neutron-rich nuclei and nuclear forces.