The Time-Dependent Generator Coordinate Method in Nuclear Physics

2020/04/30 by Marc Verrière, Marc Verriere, David Regnier · 1 citation
Physics and Astronomy · #Advanced Chemical Physics Studies #Classical mechanics #Context (archaeology) #Generator (circuit theory) #High-Energy Particle Collisions Research #Nuclear physics research studies #Physics #Power (physics) #Quantum mechanics #Statistical physics #Superposition principle #Theoretical physics #Wave function #nucl-th

paper · pdf · doi:10.3389/fphy.2020.00233

arxiv created 2020/06/01 · arxiv updated 2020/06/03 · openalex publication_date 2020/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We recall the formal derivations of the TDGCM and its most common approximate treatment, the Gaussian Overlap Approximation. We also emphasize the Schrdinger Collective-Intrinsic Model (SCIM) variant focused on the inclusion of quasiparticle excitations into the description. Finally, we highlight several exploratory studies related to a TDGCM built on time-dependent generator states.

Citations

• The Mechanism of Nuclear Fission
• Microscopic analysis of collective dynamics in low energy fission
• Particle-number restoration within the energy density functional formalism
• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• Nuclear Constitution and the Interpretation of Fission Phenomena
• Quadrupole collective inertia in nuclear fission: Cranking approximation
• TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: A Mini Review
• Sign of the overlap of Hartree-Fock-Bogoliubov wave functions

Cited by

• Microscopic model for yields and total kinetic energy in nuclear fission