The 38th Nuclear Theory Seminar
Lecturer: Yusuke Tanimura (Tohoku University)
Title: Application of the Inverse Hamiltonian Method to
Relativistic Mean Field Calculations on 3-dimensional Cartesian Mesh
Date: February 27 (Wed.), 2013 13:30-
Place: Conference Room, 2F RIBF Bldg.
Abstract:
The imaginary time method has been successfully employed in
non-relativistic self-consistent mean field calculations in
the three-dimensional (3D) coordinate space representation.
However, the method cannot be applied to relativistic calculations
for the two reasons. Firstly, an iterative solution inevitably
falls down to the continuum Dirac sea below the positive energy
spectrum in a naive imaginary time evolution. In order to avoid this
break down of variational calculations, we have developed a new
iterative method, which we call "the inverse Hamiltonian method".
The other difficulty one meets in a relativistic 3D calculation is
the so called fermion doubling problem, which could be avoided by
the method of "Wilson fermion". In this talk, we will show that
one can successfully obtain a solution of a Dirac equation on 3D mesh
avoiding these two problems by combining the inverse Hamiltonian method
and the Wilson fermion.
