Nuclear and Particle Physics Colloquium 21
Place: Room 316, Old Main Building, Beihang University
Time: 08:00-10:00, November 4, 2015
Title: Dirac 方程在三维空间中的求解及其在协变密度泛函理论中的应用
Speaker: Dr. Hao-Zhao Liang (梁豪兆), RIKEN, Japan
To solve the Dirac equations in the 3-dimensional (3D) coordinate space shares common interests in many fields relevant to the relativistic quantum mechanics. From the nuclear physics point of view, this is crucial to investigate, e.g., the halo phenomenon in exotic nuclei, nuclear exotic excitation modes, etc. However, this task turns out to be quite challenging, because the well-known iterative methods do not work due to the existence of infinite negative-energy solutions, i.e., the Dirac Sea. Another difficulty is the “Fermion doubling”, which arises from the discretization of the Dirac equation on lattice.
In this talk, we will introduce our recent progress in this topic, by using the inverse Hamiltonian method and higher-order Wilson terms to overcome the problems of Dirac sea and Fermion doubling. The self-consistent 3D relativistic mean-field code for atomic nuclei has been built based on this scheme.