Current Status of Very-Large-Basis Hamiltonian Diagonalizations for Nuclear Physics

Abstract

Today there are a plethora of many-body techniques for calculating nuclear wave functions and matrix elements. I review the status of that reliable workhorse, the interacting shell model, a.k.a. configuration-interaction methods, a.k.a. Hamiltonian diagonalization, and survey its advantages and disadvantages. With modern supercomputers one can tackle dimensions up to about 20 billion! I discuss how we got there and where we might go in the near future.

Comments: To be published in the proceedings of Thirteenth Conference on the Intersections of Particle and Nuclear Physics, Indian Wells, CA, May 28--June 3, 2018; updated reference