Relativistic Brueckner-Hartree-Fock Theory for Finite Nuclei
- Peter Ring, University of Munich
Tuesday, May 6, 11:00 AM - Theory Seminar
NSCL Lecture Hall
So far, ab initio calculations in nuclear physics are restricted in several aspects, (i) they require three-body forces, (ii) they are limited to relatively light systems, and (iii) they neglect Lorentz invariance, a basic symmetry of the underlying QCD. Relativistic Brueckner-Hartree-Fock theory should, in principle, be able to bypass all these problems. In the past, however, it has only been used for the study of homogeneous infinite nuclear matter. Now this theory is applied for the first time for finite nuclear systems. Starting from a realistic bare nucleon-nucleon (NN) force adjusted to nuclear scattering data, the G-matrix is obtained as an effective interaction by solving the Bethe-Goldstone equation in an Harmonic oscillator basis. This G-matrix is inserted in a relativistic Hartree-Fock code for finite nuclei and in each step of the iteration a new G-matrix is calculated by solving the Bethe-Goldstone equation for the Pauli-operator derived from the corresponding Fermi surface in the finite system. The self-consistent solution of this iteration process allows to calculate ground state properties of finite nuclei without any adjustable parameters. No three-body forces are needed. First results are shown for doubly magic nuclei between 16O and 48Ca. Their ground state properties, such as binding energies or charge radii are largely improved as compared with the results obtained from non-relativistic Brueckner-Hartree-Fock theory. It is discussed that this theory provides a method to study also the ground state properties of heavy nuclei in ab initio calculations.
*supported in part by the DFG Cluster of Excellence “Origin and Structure of the University (www.university-cluster.de)