A Time Dependent Multi-Determinant approach to nuclear dynamics

TL;DR

This paper introduces a multi-determinant time-dependent approach for nuclear wave function evolution, generalizing TDHF, and demonstrates its conservation properties and application to lithium-6 with detailed results.

Contribution

It develops a multi-determinant method based on the Dirac variational principle, extending TDHF for more accurate nuclear dynamics simulations.

Findings

Conservation of wave function norm and energy during evolution

Application to ${}^6Li$ with successful modeling

Analysis of isoscalar monopole strength function

Abstract

We study a multi-determinant approach to the time evolution of the nuclear wave functions (TDMD). We employ the Dirac variational principle and use as anzatz for the nuclear wave-function a linear combination of Slater determinants and derive the equations of motion. We demonstrate explicitly that the norm of the wave function and the energy are conserved during the time evolution. This approach is a direct generalization of the time dependent Hartree-Fock method. We apply this approach to a case study of ${}^6Li$ using the N3LO interaction renormalized to 4 major harmonic oscillator shells. We solve the TDMD equations of motion using Krylov subspace methods of Lanczos type. We discuss as an application the isoscalar monopole strength function.