arXiv:2606.21598·v1·Nuclear Theory
One-Body and Two-Body Density Matrix Elements in a Symplectic Many-Body Basis
Jakub Herko (1 and 2) · Mark A. Caprio (1) ((1) Department of Physics and Astronomy, University of Notre Dame, (2) TRIUMF)
Abstract
The symplectic no-core configuration interaction (SpNCCI) framework is an ab initio many-body method for nuclear structure which makes use of the approximate symplectic symmetry of nuclei by appropriate choice of many-body basis states. In this paper we derive recurrence relations allowing for calculation of one-body and two-body density matrix elements between the SpNCCI basis states. Availability of these matrix elements allows for integration of the SpNCCI framework with other modern many-body methods and for calculation of matrix elements of any one-body or two-body operator.
Comments: 25 pages, no figures