München 2006 – wissenschaftliches Programm

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HK: Physik der Hadronen und Kerne

HK 36: Theorie

HK 36.5: Vortrag

Mittwoch, 22. März 2006, 18:00–18:15, B

New Approaches in Relativistic Mean-Field Calculations of Nuclei — •Stefan Typel — GSI, Darmstadt, Germany

Modern relativistic mean-field models describe ground state properties of atomic nuclei with great success. The nucleon wave functions are found by solving the Dirac equation with scalar and vector self-energies. In standard approaches the Dirac Hamiltonian is diagonalized in a set of basis functions (e.g. of the harmonic oscillator) or on a mesh after discretization. As an alternative, a relativistic extension of the Lagrange mesh method is presented. It combines the virtues of both approaches and gives very accurate results with little computational effort.

A correct description of pairing effects is essential for extracting, e.g. one-nucleon separation energies. In conventional calculations the Hartree-Bogoliubov method or the even simpler BCS approach is used with well-known deficiencies. In this contribution, an approach beyond the mean-field description is discussed that is based on a shell-model like diagonalization with a certain residual pairing interaction. For a consistent treatment of pairing in deformed and spherical nuclei, angular momentum projection has to be considered.