Projection of Good Quantum Numbers for Reaction Fragments

Abstract

In reactions the wave packets of the emerging products typically are not eigenstates of particle number operators or any other conserved quantities and their properties are entangled. I describe a particle projection technique in parts of space, which eschews the need to evaluate Pfaffians in the case of overlap of generalized Slater determinants or Hartree-Fock-Bogoliubov type of vacua. The extension of these formulas for calculating either angular momentum or particle projected energy distributions of the reaction fragments are presented as well. The generalization to simultaneous particle and angular momentum projection of various reaction fragment observables is straightforward.

Published version, 7 pages, 2 figures

References in corpus (5)

• Particle transfer reactions with the time-dependent Hartree-Fock theory using a particle number projection technique
• The sign of the overlap of HFB wave functions
• Angular momentum of fission fragments
• Number of Particles in Fission Fragments
• Why does the sign problem occur in evaluating the overlap of HFB wave functions?

Cited by in corpus (13)

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• Angular Momentum of Fission Fragments from Microscopic Theory
• Measures of complexity and entanglement in fermionic many-body systems
• Emergence of a pseudogap in the BCS-BEC crossover
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• Counting statistics in finite Fermi systems: illustrations with the atomic nucleus
• Pre-equilibrium Neutron Emission in Fission or Fragmentation
• Fission in a microscopic framework: from basic science to support for applications
• Restoring Broken Symmetries for Nuclei and Reaction Fragments
• Angular momentum removal by neutron and $\gamma$-ray emissions during fission fragment decays